U.S. patent application number 17/502684 was filed with the patent office on 2022-04-07 for systems and methods for transverse energy localization in energy relays using ordered structures.
The applicant listed for this patent is LIGHT FIELD LAB, INC.. Invention is credited to Brendan Elwood Bevensee, Jonathan Sean Karafin.
Application Number | 20220107446 17/502684 |
Document ID | / |
Family ID | 1000006028866 |
Filed Date | 2022-04-07 |
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United States Patent
Application |
20220107446 |
Kind Code |
A1 |
Karafin; Jonathan Sean ; et
al. |
April 7, 2022 |
SYSTEMS AND METHODS FOR TRANSVERSE ENERGY LOCALIZATION IN ENERGY
RELAYS USING ORDERED STRUCTURES
Abstract
Disclosed are systems and methods for manufacturing energy
relays for energy directing systems inducing Ordered Energy
Localization effects. Ordered Energy Localization relay material
distribution criteria are disclosed. Transverse planar as well as
multi-dimensional ordered material configurations are discussed.
Methods and systems are disclosed for forming non-random patterns
of energy relay materials with energy localization properties.
Inventors: |
Karafin; Jonathan Sean; (San
Jose, CA) ; Bevensee; Brendan Elwood; (San Jose,
CA) |
|
Applicant: |
Name |
City |
State |
Country |
Type |
LIGHT FIELD LAB, INC. |
San Jose |
CA |
US |
|
|
Family ID: |
1000006028866 |
Appl. No.: |
17/502684 |
Filed: |
October 15, 2021 |
Related U.S. Patent Documents
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Application
Number |
Filing Date |
Patent Number |
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16634061 |
Jan 24, 2020 |
11181749 |
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PCT/US19/13310 |
Jan 11, 2019 |
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17502684 |
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62617293 |
Jan 14, 2018 |
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62617288 |
Jan 14, 2018 |
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Current U.S.
Class: |
1/1 |
Current CPC
Class: |
G02B 30/56 20200101;
G02B 6/06 20130101; F24V 30/00 20180501; G02B 27/0103 20130101;
G02B 27/0994 20130101; G03H 1/02 20130101; G02B 5/0242 20130101;
G02B 5/0278 20130101; G02B 30/00 20200101; G02B 3/0037 20130101;
G02B 6/04 20130101; G02B 27/09 20130101; F24S 30/00 20180501; G02B
6/10 20130101; G02B 3/08 20130101 |
International
Class: |
G02B 5/02 20060101
G02B005/02; F24V 30/00 20060101 F24V030/00; G02B 30/00 20060101
G02B030/00; G02B 6/04 20060101 G02B006/04; G02B 6/10 20060101
G02B006/10; G02B 27/09 20060101 G02B027/09; G03H 1/02 20060101
G03H001/02; G02B 6/06 20060101 G02B006/06; G02B 27/01 20060101
G02B027/01; G02B 30/56 20060101 G02B030/56; G02B 3/00 20060101
G02B003/00; G02B 3/08 20060101 G02B003/08 |
Claims
1. An energy relay comprising: a plurality of modules assembled in
a structure, each module comprising first component engineered
structures and second component. engineered structures; wherein
each module in the structure comprises an arrangement of the first
and second component engineered structures in a substantially
non-random pattern in a transverse plane of the energy relay;
wherein the first and second component engineered structures are
configured to cooperate to transport energy along a longitudinal
plane that is normal to the transverse plane; the energy relay
having substantially higher energy transport efficiency in the
longitudinal plane than in the transverse plane.
2. The energy relay of claim 1, wherein both the first and second
component engineered structures are configured to transport at
least 10% of the energy transported along the longitudinal
plane.
3. The energy relay of claim 1, wherein both the first and second
component engineered structures are configured to transport energy
through means other than internal reflection.
4. The energy relay of claim 1, further comprising a third
component engineered structure.
5. The energy relay of claim 4, wherein the plurality of modules
further comprise the third. component engineered structure, the
third component engineered structure being arranged in the
substantially non-random pattern in the transverse plane.
6. The energy relay of claim 4, wherein the third component
engineered structure is arranged in interstitial regions between
the plurality of modules within the structure.
7. The energy relay of claim 4, further wherein the third component
engineered structure is configured to transport energy along the
longitudinal plane.
8. The energy relay of claim 4, further wherein the third component
engineered structure is configured to inhibit energy transport in
the transverse plane.
9. The energy relay of claim 1, wherein the plurality of modules
are periodically distributed across the transverse plane of the
energy relay.
10. The energy relay of claim 1, further wherein the substantially
non-random pattern of first and second component engineered
structures in the transverse plane of the energy relay comprises a
transverse distortion of the substantially non-random pattern.
11. The energy relay of claim 10, wherein the transverse distortion
comprises a distortion of a boundary between adjacent first and
second component engineered structures.
12. The energy relay of claim 1, wherein the energy relay includes
a first surface and a second surface, and wherein energy
propagating between the first surface and the second surface
travels along a path that is substantially parallel to the
longitudinal plane.
13. The energy relay of claim 12, wherein the energy is
electromagnetic energy, and a variability in refractive index
between the first and second. component engineered structures
results in the electromagnetic energy propagating between the first
and second surface to be spatially localized in the transverse
plane of the energy relay.
14. The energy relay of claim 12, wherein the energy is mechanical
energy in the form of sound. waves, and a variability in acoustic
impedance between the first and second component engineered
structures results in the sound waves propagating between the first
and second. surface to be spatially localized in the transverse
plane of the energy relay.
15. The energy relay of claim 12, wherein the energy propagating
between the first surface and the second surface, upon passing
through the first surface, has a first spatial resolution, and upon
passing through the second surface, has a second spatial resolution
that is no less than about 50% of the first spatial resolution.
16. The energy relay of claim 12, wherein the first surface has a
different surface area than the second surface, wherein the energy
relay further comprises a sloped profile portion between the first
surface and the second surface, and. wherein the energy propagating
between the first and second surfaces is spatially magnified or
spatially de-magnified.
17. The energy relay of claim 16, wherein the sloped profile
portion is angled, linear, curved, tapered, faceted, or aligned at
a non-perpendicular angle relative to the longitudinal plane.
18. The energy relay of claim 12, wherein energy with a uniform
profile presented to the first surface passes through the second
surface to substantially fill a cone with an opening angle of +/-10
degrees relative to the normal to the second surface, irrespective
of location on the second surface.
19. The energy relay of claim 12, wherein the energy relay includes
a plurality of relay elements stacked in an end-to-end
configuration in the longitudinal orientation, wherein a first
element of the plurality of elements includes the first surface,
and wherein a second element of the plurality of elements includes
the second surface.
20. The energy relay of claim 12, wherein the first surface is
configured to receive the energy from an energy source unit, the
energy source unit comprising a mechanical envelope having a width
different than the width of at least one of the first surface and
the second surface.
21. The energy relay of claim 12, wherein at least one of either
the first surface or the second surface is either a concave
surface, a convex surface, or a fiat surface, the flat surface
being sloped with a surface normal that is angled relative to the
path that is substantially parallel to the longitudinal plane.
22. The energy relay of claim 1, wherein each of the first
component engineered structures and the second component engineered
structure comprises at least One of: atomic or subatomic particles,
glass, carbon, optical fiber, optical film, polymer or mixtures
thereof.
23. The energy relay of claim 1, wherein each of the first and
second component engineered structures further comprise a
cross-sectional shape of a set of one or more shapes along the
transverse plane.
24. The energy relay of claim 23, wherein the substantially
non-random pattern in the transverse plane of the energy relay
comprises a tiling of the cross-sectional shapes of the first and
second component engineered structures, such that there are
substantially no empty spaces between the first and second.
component engineered structures along the transverse plane of the
energy relay.
25.-64. (canceled)
65. A method for fusing an energy relay comprising: providing a
plurality of first component engineered structures and a plurality
of second component engineered structures; and forming an
arrangement of the first and second component engineered structures
comprising a substantially non-random pattern of the first and
second component engineered structures in a transverse plane of the
energy relay; and wherein the arrangement of first and second
component engineered structures is configured to transport energy
along a longitudinal plane that is normal to the transverse plane,
the arrangement having substantially higher energy transport
efficiency in the longitudinal plane than in the transverse
plane.
66. The method of claim 0, further comprising processing the
arrangement of first and second component engineered structures,
wherein processing comprises a series of one or more steps, where
each step comprises one of: applying a compressive force to the
arrangement, applying heat to the arrangement, applying cooling to
the arrangement, or performing a chemical reaction to the
arrangement.
67. The method of claim 66, further comprising: accommodating the
arrangement of first and second component engineered structures in
a constrained space prior to the processing step; and removing the
arrangement of first and second component: engineered structures
from the constrained space after the processing step.
68. The method of claim 67, wherein processing further comprises
applying a first compressive force to the arrangement of
constrained component engineered structures along at least the
transverse plane, applying heat to the compressed arrangement in
one or more stages, each stage comprising a stage temperature and a
stage length of time, applying a second compressive force to the
heated arrangement in one or more stages, each stage comprising a
stage compressive force and a stage length of time, and cooling the
heated arrangement.
69. The method of claim 68. wherein at least one stage temperature
of the one or more stages is substantially the glass transition
temperature of at least one of the first or second component
engineered structures, or substantially the average glass
transition temperature of all of the component engineered
structures.
70. The method of claim 67, wherein processing further comprises:
applying heat to the constrained arrangement; and cooling the
heated. arrangement while being rested within the constrained
space.
71. The method of claim 67, further wherein applying heat to the
arrangement comprises heating the constrained component engineered
structures to a first temperature, and further applying heat to
change the temperature of the heated arrangement to a second
temperature, different than the first temperature, before applying
cooling to the arrangement.
72. The method of claim 67, wherein the constrained space is
defined by a fixture comprising first and second components
configured to join together to f6rm the constrained space
therebetween.
73. The method of claim 72, wherein the fixture is further
configured to apply an adjustable compressive force to the
constrained space.
74. The method of claim 73, wherein the fixture is configured to
release the processed arrangement after the processing step is
completed,
75. A method for forming an energy relay, the method comprising:
providing a plurality of first component engineered structures and
a plurality of second component engineered structures; and forming
a first arrangement of the pluralities of first and second
component engineered structures comprising a substantially
non-random pattern of the first and second component engineered
structures in a transverse plane of the energy relay; and repeating
at least the following steps until the arrangement has desired
engineered properties, the steps including: processing the first
arrangement of first and second component engineered structures
into an assembly; and heating at least a first portion of the
assembly, the formed energy relay having a first transverse
dimension prior to being heated; and applying a tensile force
longitudinally along at least the first portion of the heated
assembly, thereby altering the first portion to have a second
transverse dimension, narrower than the first transverse dimension,
while substantially maintaining the substantially non-random
pattern of first and second component engineered structures in the
transverse plane; and forming a second arrangement of a plurality
of substantially similar altered first portions, where this second
arrangement may be used in place of the first arrangement for
further iterations of the preceding processing, heating, and
applying steps.
76. The method of claim 75, further wherein, once the first
arrangement has the desired engineered properties, performing a
final processing step comprising fusing the arrangement having the
desired engineered properties.
77. The method of claim 75, wherein processing comprises a series
of one or more steps, where each step comprises one of:. applying a
compressive force to the arrangement, applying heat to the
arrangement, applying cooling to the arrangement, or performing a
chemical reaction to the arrangement.
78. The method of claim 75, wherein the heating step comprises
heating the assembly of first and second component engineered
structures to substantially the glass transition temperature of the
first or the second component engineered structures.
79.-95. (canceled)
Description
CROSS-REFERENCE TO RELATED APPLICATIONS
[0001] This Application claims the benefit of priority to U.S.
Provisional Patent Application No. 62/617,288, entitled "System and
Methods for Transverse Energy Localization in Energy Relays Using
Ordered Structures," filed Jan. 14, 2018, and to U.S. Provisional
Patent Application No. 62/617,293, entitled "Novel Application of
Holographic and Light Field Technology," filed Jan. 14, 2018, which
are both herein incorporated by reference in their entirety.
TECHNICAL FIELD
[0002] This disclosure generally relates to light field energy
systems, and more specifically, to systems of transverse
localization of energy in energy relays using non-random
arrangements of relay materials as well as methods of manufacturing
energy relays thereof.
BACKGROUND
[0003] The dream of an interactive virtual world within a
"holodeck" chamber as popularized by Gene Roddenberry's Star Trek
and originally envisioned by author Alexander Moszkowski in the
early 1900s has been the inspiration for science fiction and
technological innovation for nearly a century. However, no
compelling implementation of this experience exists outside of
literature, media, and the collective imagination of children and
adults alike.
SUMMARY
[0004] Disclosed are systems and methods for manufacturing energy
relays for energy directing systems inducing Ordered Energy
Localization effects. Energy relay materials comprising non-random
patterns of energy relay materials, and criteria for forming such,
are disclosed. Transverse planar as well as multi-dimensional
energy relay material configurations are discussed. Methods and
systems are disclosed for forming energy relay materials with
Ordered Energy Localization properties.
[0005] In an embodiment, an energy relay comprises: a plurality of
modules assembled in a structure, each module comprising first
component engineered structures and second component engineered
structures; wherein each module in the structure comprises an
arrangement of the first and second component engineered structures
in a substantially non-random pattern in a transverse plane of the
energy relay; wherein the first and second component engineered
structures are configured to cooperate to transport energy along a
longitudinal plane that is normal to the transverse plane; the
energy relay having substantially higher energy transport
efficiency in the longitudinal plane than in the transverse
plane.
[0006] In an embodiment, an energy relay comprises: a plurality of
first and second component engineered structures, each comprising a
cross-sectional shape of a set of one or more shapes along a
transverse plane of the energy relay; wherein the plurality of
first and second component engineered structures are substantially
arranged in a tiling across the transverse plane of the energy
relay; wherein the energy relay has substantially higher energy
transport efficiency along a longitudinal plane than along the
transverse plane.
[0007] In an embodiment, an energy relay comprises: a plurality of
volumetric structures, each comprising one or more component
engineered structures, and configured to tessellate volumetrically;
wherein the plurality of volumetric structures are located in an
assembly substantially according to a three-dimensional
tessellation of the volumetric structures, the assembly being
configured to transport energy in a longitudinal direction
therethrough and having substantially higher transport efficiency
in the longitudinal direction than in a transverse direction,
normal to the longitudinal direction; wherein the plurality of
volumetric structures are configured to tessellate volumetrically
such that there is at least one substantially linear path through
the volumetric tessellation, the substantially linear path
substantially coinciding with only similar component engineered
structures, and oriented substantially along the longitudinal
direction.
[0008] In an embodiment, a method for forming an energy relay
comprises: providing a plurality of first component engineered
structures and a plurality of second component engineered
structures; and forming a first arrangement of the pluralities of
first and second component engineered structures comprising a
substantially non-random pattern of the first and second component
engineered structures in a transverse plane of the energy relay;
and repeating at least the following steps until the arrangement
has desired engineered properties, the steps including: processing
the first arrangement of first and second component engineered
structures into an assembly; and heating at least a first portion
of the assembly, the formed energy relay having a first transverse
dimension prior to being heated, and applying a tensile force
longitudinally along at least the first portion of the heated
assembly, thereby altering the first portion to have a second
transverse dimension, narrower than the first transverse dimension,
while substantially maintaining the substantially non-random
pattern of first and second component engineered structures in the
transverse plane; and forming a second arrangement of a plurality
of substantially similar altered first portions, where this second
arrangement may be used in, place of the first arrangement for
further iterations of the preceding processing, heating, and
applying steps.
[0009] In an embodiment, a method for forming an energy relay
comprises: providing a plurality of first component engineered
structures and a plurality of second component engineered
structures; and forming an arrangement of the first and second
component engineered structures comprising a substantially
non-random pattern of the first and second component engineered
structures in a transverse plane of the energy relay; and wherein
the arrangement of first and second component engineered structures
is configured to transport energy along a longitudinal plane that
is normal to the transverse plane, the arrangement having
substantially higher energy transport efficiency in the
longitudinal plane than in the transverse plane.
BRIEF DESCRIPTION OF THE DRAWINGS
[0010] FIG. 1 is a schematic diagram illustrating design parameters
for an energy directing system;
[0011] FIG. 2 is a schematic diagram illustrating an energy system
having an active device area with a mechanical envelope;
[0012] FIG. 3 is a schematic diagram illustrating an energy relay
system;
[0013] FIG. 4 is a schematic diagram illustrating an embodiment of
energy relay elements adhered together and fastened to a base
structure,
[0014] FIG. 5A is a schematic diagram illustrating an example of a
relayed image through multi-core optical fibers;
[0015] FIG. 5B is a schematic diagram illustrating an example of a
relayed image through an optical relay that exhibits the properties
of the Transverse Anderson Localization principle,
[0016] FIG. 6 is a schematic diagram showing rays propagated from
an energy surface to a viewer;
[0017] FIG. 7A illustrates a cutaway view of a flexible energy
relay which achieves Transverse Anderson Localization by
intermixing two component materials within an oil or liquid, in
accordance with one embodiment of the present disclosure;
[0018] FIG. 7B illustrates a schematic cutaway view of a rigid
energy relay which achieves Transverse Anderson Localization by
intermixing two component materials within a bonding agent, and in
doing so, achieves a path of minimum variation in one direction for
one material property, in accordance with one embodiment of the
present disclosure;
[0019] FIG. 8 illustrates a schematic cutaway view in the
transverse plane the inclusion of a dimensional extra mural
absorption ("DEMA") material in the longitudinal direction designed
to absorb energy, in accordance with one embodiment of the present
disclosure;
[0020] FIG. 9 illustrates a schematic cutaway view in the
transverse plane of a portion of an energy relay comprising a
random distribution of two component materials;
[0021] FIG. 10 illustrates a schematic cutaway view in the
transverse plane of a module of an energy relay comprising a
non-random pattern of three component materials which define a
single module;
[0022] FIG. 11 illustrates a. schematic cutaway view in the
transverse plane of a portion of a pre fused energy relay
comprising a random distribution of two component materials;
[0023] FIG. 12A illustrates a schematic cutaway view in the
transverse plane of a portion of a pre-fused energy relay
comprising a nonrandom distribution of three component materials
which define multiple modules with similar orientations;
[0024] FIG. 12B illustrates a schematic cutaway view in the
transverse plane of a portion of a pre-fused energy relay
comprising, a non-random pattern of three component materials which
define multiple modules with varying orientations,
[0025] FIG. 13 illustrates a schematic cutaway view in the
transverse plane of a portion of a fused energy relay comprising a
random distribution of two component materials;
[0026] FIG. 14 illustrates a schematic cutaway view in the
transverse plane of a portion of a fused energy relay comprising a
non-random pattern of three component materials;
[0027] FIG. 15 illustrates a schematic cross-sectional view of a
portion of an energy relay comprising a randomized distribution of
two different component engineered structure ("CES") materials;
[0028] FIG. 16 illustrates a schematic cross-sectional view of a
portion of an energy relay comprising a non-random pattern of three
different CES materials;
[0029] FIG. 17 illustrates a schematic cross-sectional perspective
view of a portion of an energy relay comprising a randomized
distribution of aggregated particles of two component
materials;
[0030] FIG. 18 illustrates a schematic cross-sectional perspective
view of a portion of an energy relay comprising a non-random
pattern of aggregated particles of three component materials;
[0031] FIG. 19 illustrates a schematic cutaway view in the
transverse plane of a portion of a pre-fused energy relay
comprising a non-random pattern of particles arranged in one of two
module structures;
[0032] FIG. 20A illustrates a perspective view illustration of a
pre-fused arrangement of three different CES particles in a
non-random pattern with variable particle size;
[0033] FIG. 20B illustrates a perspective view illustration of a
fused arrangement of three different CES particles in a non-random
pattern;
[0034] FIG. 20C illustrates a schematic cutaway view in the
transverse plane of a portion of a pre-fused energy relay
comprising a non-random pattern of particles and additional energy
inhibiting structures;
[0035] FIG. 20D illustrates a schematic cutaway view in the
transverse plane of a portion of a fused energy relay comprising a
non-random pattern of particles and additional energy inhibiting
structures;
[0036] FIG. 20E illustrates a perspective view of a module of a
pre-fused energy relay comprising a non-random pattern of
hexagonally shaped particles;
[0037] FIG. 20F illustrates a perspective view of a module of a
fused energy relay comprising a non-random pattern of hexagonally
shaped particles;
[0038] FIG. 20G illustrates a perspective view of a module of a
pre-fused energy relay comprising a non-random pattern of
irregularly shaped CES regions
[0039] FIG. 20H illustrates a perspective cross-sectional view of a
portion of a pre-fused tube and pellet system for manufacturing an
energy relay;
[0040] FIG. 20I illustrates a perspective cross-sectional view of a
portion of a fused tube and pellet system for manufacturing an
energy relay;
[0041] FIG. 20J illustrates a schematic cutaway view in the
transverse plane of a module of a pre-fused energy relay comprising
a non-random pattern of particles of three component materials;
[0042] FIG. 20K illustrates a schematic cutaway view in the
transverse plane of a portion of a pre-fused energy relay
comprising a non-random pattern of particles of three component
materials and a surrounding energy inhibiting material;
[0043] FIG. 21A illustrates a cross-sectional view in the
transverse plane of a pre-fused energy relay comprising a flexible
outer enclosure, end caps, and pellets of energy transport material
arranged in a non-random pattern;
[0044] FIG. 21B illustrates a cross-sectional view of a fused
version of a flexible relay;
[0045] FIG. 21C illustrates a cross sectional view of a flexible
relay in a non-fused and non-flexed state;
[0046] FIG. 21D illustrates a schematic cross-sectional view of a
flexible relay in a fused and non-flexed state;
[0047] FIG. 22A illustrates a schematic cutaway view in the
transverse plane of a non-random pattern energy relay prior to
fusing;
[0048] FIG. 22B illustrates a schematic cutaway view in the
transverse plane of a formed non-random pattern energy relay after
fusing, include original and reduced transverse dimension
configurations.
[0049] FIG. 23 illustrates an embodiment for forming non-random
pattern energy relays with a reduced transverse dimension;
[0050] FIG. 24 illustrates a block diagram of a process for heating
and pulling relay materials into microstructure materials;
[0051] FIG. 25 illustrates an embodiment for forming non-random
pattern energy relays with a reduced transverse dimension;
[0052] FIG. 26A illustrates an embodiment for fusing energy relay
materials by fixing the pre-fused relay materials in a fixture;
[0053] FIG. 26B illustrates a perspective view of an assembled
fixture containing energy relay materials as part of a process of
relaxing and fusing the energy relay materials;
[0054] FIG. 26C illustrates a perspective view of an assembled
fixture containing energy relay materials after the materials have
fused together, to form the fused ordered energy relay
material.
[0055] FIG. 26D illustrates a perspective view of an embodiment of
an adjustable fixture for fusing energy relay materials;
[0056] FIG. 26E illustrates a cross-sectional view of the
adjustable fixture in FIG. 26D,
[0057] FIG. 27 illustrates a block diagram of a process for forming
an energy relay;
[0058] FIG. 28 illustrates a perspective view of a fused structure
of energy relay materials having a non-random pattern,
[0059] FIG. 29A and FIG. 29B illustrate an embodiment of a device
for manufacturing microstructure energy relay materials using a
rotational drum method;
[0060] FIG. 30-FIG. 58G illustrate various tiling configurations
for arranging energy relay materials into non-random patterns;
[0061] FIG. 59 illustrates a perspective view of a deconstructed
assembly of ordered pyramids comprising three different CES
materials;
[0062] FIG. 60 illustrates a perspective view of a partially
deconstructed configuration of an assembly of ordered pyramids,
[0063] FIG. 61 illustrates a perspective view of an expanded
assembly of ordered pyramids comprising three different CES
materials;
[0064] FIG. 62 illustrates a perspective view of an assembled
ordered volumetric structure;
[0065] FIG. 63 illustrates a perspective view of a plurality of the
ordered volumetric structures in geometric tessellation;
[0066] FIG. 64 illustrates a perspective view of an assembly
comprising additional ordered volumetric structures;
[0067] FIG. 65A illustrates a cross-sectional view in the
transverse direction of an assembly of ordered volumetric
structures of energy relay material;
[0068] FIG. 65B illustrates across-sectional view in the
longitudinal direction of an assembly of ordered volumetric
structures of energy relay material;
[0069] FIG. 66A illustrates an embodiment of a volumetric structure
comprising three different substructures;
[0070] FIG. 66B illustrates an embodiment of a volumetric structure
comprising two different sub structures;
[0071] FIG. 66C illustrates an embodiment of a volumetric structure
comprising three different substructures;
[0072] FIGS. 67A-C illustrate the assembly of several different
volumetric structures having differently shaped substructures;
[0073] FIGS. 68A-F illustrate further embodiments of volumetric
structures having different substructure components, as well as
wire models illustrating the internal structure of certain
volumetric structure embodiments;
[0074] FIG. 69A illustrates an embodiment of a plurality of
volumetric structures arranged in an assembly, while FIGS. 69B and
69C illustrate cross sectional views of the assembly shown in FIG.
69A along the longitudinal and transverse directions,
respectively;
[0075] FIG. 70A illustrates an embodiment of a plurality of
volumetric structures arranged in an assembly, while FIGS. 70B and
70C illustrates cross sectional views of the assembly shown in FIG.
70A along the longitudinal and transverse directions,
respectively;
[0076] FIG. 71 illustrates an embodiment of an assembly of two
different volumetric structures, wherein a first volumetric
structure is configured to tessellate at the vertices of a
plurality of larger second volumetric structures;
[0077] FIG. 72 illustrates a tapered energy relay mosaic
arrangement;
[0078] FIG. 73 illustrates a side view of an energy relay element
stack comprising of two compound optical relay tapers in
series;
[0079] FIG. 74 is a schematic diagram demonstrating the fundamental
principles of internal reflection;
[0080] FIG. 75 is a schematic diagram demonstrating a light ray
entering, an optical fiber, and the resulting conical light
distribution at the exit of the relay;
[0081] FIG. 76 illustrates an optical taper relay configuration
with a 3:1 magnification factor and the resulting viewed angle of
light of an attached energy source, in accordance with one
embodiment of the present disclosure;
[0082] FIG. 77 illustrates an optical taper relay with a curved
surface on the energy source side of the optical taper relay
resulting in the increased overall viewing angle of the energy
source, in accordance with one embodiment of the present
disclosure;
[0083] FIG. 78 illustrates an optical taper relay with a
non-perpendicular but planar surface on the energy source side, in
accordance with one embodiment of the present disclosure;
[0084] FIG. 79 illustrates an optical taper relay and illumination
cones of a taper with a concave surface on the side of the energy
source;
[0085] FIG. 80 illustrates an optical taper relay and light
illumination cones with the same convex surface on the side of the
energy source, but with a concave output energy surface geometry,
in accordance with one embodiment of the present disclosure;
[0086] FIG. 81 illustrates multiple optical taper modules coupled
together with curved energy source side surfaces to form an energy
source viewable image from a perpendicular energy source surface,
in accordance with one embodiment of the present disclosure;
[0087] FIG. 82 illustrates multiple optical taper modules coupled
together with perpendicular energy source side geometries and a
convex energy source surface radial about a center axis, in
accordance with one embodiment of the present disclosure;
[0088] FIG. 83 illustrates multiple optical taper relay modules
coupled together with perpendicular energy source side geometries
and a convex energy source side surface radial about a center axis,
in accordance with one embodiment of the present disclosure;
[0089] FIG. 84 illustrates multiple optical taper relay modules
with each energy source independently configured such that the
viewable output rays of light are more uniform as viewed at the
energy source, in accordance with one embodiment of the present
disclosure;
[0090] FIG. 85 illustrates multiple optical taper relay modules
where both the energy source side and the energy source are
configured with various geometries to provide control over the
input and output rays of light, in accordance with one embodiment
of the present disclosure; and
[0091] FIG. 86 illustrates arrangement of multiple optical taper
relay modules whose individual output energy surfaces have been
ground to form a seamless concave cylindrical energy source which
surrounds the viewer, with the source ends of the relays flat and
each bonded to an energy source.
DETAILED DESCRIPTION
[0092] An embodiment of a Holodeck (collectively called "Holodeck
Design Parameters") provide sufficient energy stimulus to fool the
human sensory receptors into believing that received energy
impulses within a virtual, social and interactive environment are
real, providing: 1) binocular disparity without external
accessories, head-mounted eyewear, or other peripherals; 2)
accurate motion parallax, occlusion and opacity throughout a
viewing volume simultaneously for any number of viewers; 3) visual
focus through synchronous convergence, accommodation and miosis of
the eye for all perceived rays of light; and 4) converging energy
wave propagation of sufficient density and resolution to exceed the
human sensory "resolution" for vision, hearing, touch, taste,
smell, and/or balance.
[0093] Based upon conventional technology to date, we are decades,
if not centuries away from a technology capable of providing for
all receptive fields in a compelling way as suggested by the
Holodeck Design Parameters including the visual, auditory,
somatosensory, gustatory, olfactory, and vestibular systems.
[0094] In this disclosure, the terms light field and holographic
may be used interchangeably to define the energy propagation for
stimulation of any sensory receptor response. While initial
disclosures may refer to examples of electromagnetic and mechanical
energy propagation through energy surfaces for holographic imagery
and volumetric haptics, all forms of sensory receptors are
envisioned in this disclosure. Furthermore, the principles
disclosed herein for energy propagation along propagation paths may
be applicable to both energy emission and energy capture.
[0095] Many technologies exist today that are often unfortunately
confused with holograms including lenticular printing, Pepper's
Ghost, glasses-free stereoscopic displays, horizontal parallax
displays, head-mounted VR and AR displays (HMD), and other such
illusions generalized as "fauxlography." These technologies may
exhibit some of the desired properties of a true holographic
display, however, lack the ability to stimulate the human visual
sensory response in any way sufficient to address at least two of
the four identified Holodeck Design Parameters.
[0096] These challenges have not been successfully implemented by
conventional technology to produce a seamless energy surface
sufficient for holographic energy propagation There are various
approaches to implementing volumetric and direction multiplexed
light field displays including parallax barriers, hogels, voxels,
diffractive optics, multi-view projection, holographic diffusers,
rotational mirrors, multilayered displays, time sequential
displays, head mounted display, etc., however, conventional
approaches may involve a compromise on image quality, resolution,
angular sampling density, size, cost, safety, frame rate, etc.,
ultimately resulting in an unviable technology.
[0097] To achieve the Holodeck Design Parameters for the visual,
auditory, somatosensory systems, the human acuity of each of the
respective systems is studied and understood to propagate energy
waves to sufficiently fool the human sensory receptors. The visual
system is capable of resolving to approximately 1 arc min, the
auditory system may distinguish the difference in placement as
little as three degrees, and the somatosensory systems at the hands
are capable of discerning points separated by 2-12rnm While there
are various and conflicting ways to measure these acuities, these
values are sufficient to understand the systems and methods to
stimulate perception of energy propagation
[0098] Of the noted sensory receptors, the human visual system is
by far the most sensitive given that even a single photon can
induce sensation. For this reason, much of this introduction will
focus on visual energy wave propagation, and vastly lower
resolution energy systems coupled within a disclosed energy
waveguide surface may converge appropriate signals to induce
holographic sensory perception. Unless otherwise noted, all
disclosures apply to all energy and sensory domains.
[0099] When calculating for effective design parameters of the
energy propagation for the visual system given a viewing volume and
viewing distance, a desired energy surface may be designed to
include many gigapixels of effective energy location density. For
wide viewing volumes, or near field viewing, the design parameters
of a desired energy surface may include hundreds of gigapixels or
more of effective energy location density. By comparison, a desired
energy source may be designed to have 1 to 250 effective megapixels
of energy location density for ultrasonic propagation of volumetric
haptics or an array of 36 to 3,600 effective energy locations for
acoustic propagation of holographic sound depending on input
environmental variables. What is important to note is that with a
disclosed bi-directional energy surface architecture, all
components may be configured to form the appropriate structures for
any energy domain to enable holographic propagation.
[0100] However, the main challenge to enable the Holodeck today
involves available visual technologies and electromagnetic device
limitations. Acoustic and ultrasonic devices are less challenging
given the orders of magnitude difference in desired density based
upon sensory acuity in the respective receptive field, although the
complexity should not be underestimated. While holographic emulsion
exists with resolutions exceeding the desired density to encode
interference patterns in static imagery, state-of-the-art display
devices are limited by resolution, data throughput and
manufacturing feasibility. To date, no singular display device has
been able to meaningfully produce a light field having near
holographic resolution for visual acuity.
[0101] Production of a single silicon-based device capable of
meeting the desired resolution for a compelling light field display
may not practical and may involve extremely complex fabrication
processes beyond the current manufacturing capabilities The
limitation to tiling multiple existing display devices together
involves the seams and gap formed by the physical size of
packaging, electronics, enclosure, optics and a number of other
challenges that inevitably result in an unviable technology from an
imaging, cost and/or a size standpoint.
[0102] The embodiments disclosed herein may provide a real-world
path to building the Holodeck
[0103] Example embodiments will now be described hereinafter with,
reference to the accompanying drawings, which form a part hereof,
and which illustrate example embodiments which may be practiced. As
used in the disclosures and the appended claims, the terms
"embodiment", "example embodiment", and "exemplary embodiment" do
not necessarily refer to a single embodiment, <although they
may, and various example embodiments may be readily combined and
interchanged, without departing from the scope or spirit of example
embodiments. Furthermore, the terminology as used herein is for the
purpose of describing example embodiments only and is not intended
to be limitations. In this respect, as used herein, the term "in"
may include "in" and "on", and the terms "a," "an" and "the" may
include singular and plural references. Furthermore, as used
herein, the term "by" may also mean "from", depending on the
context. Furthermore, as used herein, the term "if" may also mean
"when" or "upon," depending on the context. Furthermore, as used
herein, the words "and/or" may refer to and encompass any and all
possible combinations of one or more of the associated listed
items.
Holographic System Considerations:
Overview ofLight Field Energy Propagation Resolution
[0104] Light field and holographic display is the result of a
plurality of projections where energy surface locations provide
angular, color and intensity information propagated within a
viewing volume. The disclosed energy surface provides opportunities
for additional information to coexist and propagate through the
same surface to induce other sensory system responses. Unlike a
stereoscopic display, the viewed position of the converged energy
propagation paths in space do not vary as the viewer moves around
the viewing volume and any number of viewers may simultaneously see
propagated objects in real-world space as if it was truly there. In
some embodiments, the propagation of energy may be located in the
same energy propagation path but in opposite directions. For
example, energy emission and energy capture along an energy
propagation path are both possible in some embodiments of the
present disclosed.
[0105] FIG. 1 is a schematic diagram illustrating variables
relevant for stimulation of sensory receptor response. These
variables may include surface diagonal 101, surface width 102,
surface height 103, a determined target seating distance 118, the
target seating field of view field of view from the center of the
display 104, the number of intermediate samples demonstrated here
as samples between the eyes 105, the average adult inter-ocular
separation 106, the average resolution of the human eye in arcmin
107, the horizontal field of view formed between the target viewer
location and the surface width 108, the vertical field of view
formed between the target viewer location and the surface height
109, the resultant horizontal waveguide element resolution, or
total number of elements, across the surface 110, the resultant
vertical waveguide element resolution, or total number of elements,
across the surface 111, the sample distance based upon the
inter-ocular spacing between the eyes and the number of
intermediate samples for angular projection between the eyes 112,
the angular sampling may be based upon the sample distance and the
target seating distance 113, the total resolution Horizontal per
waveguide element derived from the angular sampling desired 114,
the total resolution Vertical per waveguide element derived from
the angular sampling desired 115, device Horizontal is the count of
the determined number of discreet energy sources desired 116, and
device Vertical is the count of the determined number of discreet
energy sources desired 117
[0106] A method to understand the desired minimum resolution may be
based upon the following criteria to ensure sufficient stimulation
of visual (or other) sensory receptor response: surface size (e g.,
84'' diagonal), surface aspect ratio (e g., 16:9), seating distance
(e g., 128'' from the display), seating field of view (e.g., 120
degrees or +/-60 degrees about the center of the display), desired
intermediate samples at a distance (e.g., one additional
propagation path between the eyes), the average inter-ocular
separation of an adult (approximately 65 mm), and the average
resolution of the human eye (approximately 1 arcmin). These example
values should be considered placeholders depending on the specific
application design parameters.
[0107] Further, each of the values attributed to the visual sensory
receptors may be replaced with other systems to determine desired
propagation path parameters. For other energy propagation
embodiments, one may consider the auditory system's angular
sensitivity as low as three degrees and the somatosensory system's
spatial resolution of the hands as small as 2-12 mm.
[0108] While there are various and conflicting ways to measure
these sensory acuities, these values are sufficient to understand
the systems and methods to stimulate perception of virtual energy
propagation. There are many ways to consider the design resolution,
and the below proposed methodology combines pragmatic product
considerations with the biological resolving limits of the sensory
systems. As will be appreciated by one of ordinary skill in the
art, the following overview is a simplification of any such system
design, and should be considered for exemplary purposes only
[0109] With, the resolution limit of the sensory system understood,
the total energy waveguide element density may be calculated such
that the receiving sensory system cannot discern a single energy
waveguide element from an adjacent element, given:
Surface .times. .times. Aspect .times. .times. Ratio = Width
.times. .times. ( W ) Height .times. .times. ( H ) ##EQU00001##
Surface .times. .times. Horizontal .times. .times. Size = Surface
.times. .times. Diagonal * ( 1 ( 1 + ( H W ) 2 ) ##EQU00001.2##
Surface .times. .times. Vertical .times. .times. Size = Surface
.times. .times. Diagonal * ( 1 ( 1 + ( W H ) 2 ) ##EQU00001.3##
Horizontal .times. .times. Field .times. .times. of .times. .times.
View = 2 * atan .function. ( Surface .times. .times. Horizontal
.times. .times. Size 2 * Seating .times. .times. Distance )
##EQU00001.4## Vertical .times. .times. Field .times. .times. of
.times. .times. View = 2 * atan .function. ( Surface .times.
.times. Verticle .times. .times. Size 2 * Seating .times. .times.
Distance ) ##EQU00001.5## Horizontal .times. .times. Element
.times. .times. Resolution = Horizontal .times. .times. FoV * 60
Eye .times. .times. Resolution ##EQU00001.6## Vertical .times.
.times. Element .times. .times. Resolution = Vertical .times.
.times. FoV * 60 Eye .times. .times. Resolution ##EQU00001.7##
[0110] The above calculations result in approximately a
32.times.18.degree. field of view resulting in approximately
1920.times.1080 (rounded to nearest format) energy waveguide
elements being desired. One may also constrain the variables such
that the field of view is consistent for both (u, v) to provide a
more regular spatial sampling of energy locations (e g pixel aspect
ratio) The angular sampling of the system assumes a defined target
viewing volume location and additional propagated energy paths
between two points at the optimized distance, given:
Sample .times. .times. Distance = Inter .times. - .times. Ocular
.times. .times. Distance ( Number .times. .times. of .times.
.times. Desired .times. .times. Intermediate .times. .times.
Samples + 1 ) ##EQU00002## Angular .times. .times. Sampling = atan
.function. ( Sample .times. .times. Distance Seating .times.
.times. Distance ) ##EQU00002.2##
[0111] In this case, the inter-ocular distance is leveraged to
calculate the sample distance although any metric may be leveraged
to account for appropriate number of samples as a given distance.
With the above variables considered, approximately one ray per
0.57.degree. may be desired and the total system resolution per
independent sensory system may be determined, given:
Locations .times. .times. Per .times. .times. Element .function. (
N ) = Seating .times. .times. FoV Angular .times. .times. Sampling
##EQU00003## Total .times. .times. Resolution .times. .times. H = N
* Horizontal .times. .times. Element .times. .times. Resolution
##EQU00003.2## Total .times. .times. Resolution .times. .times. V =
N * Vertical .times. .times. Element .times. .times. Resolution
##EQU00003.3##
[0112] With the above scenario given the size of energy surface and
the angular resolution addressed for the visual acuity system, the
resultant energy surface may desirably include approximately
400k.times.225k pixels of energy resolution locations, or 90
gigapixels holographic propagation density. These variables
provided are for exemplary purposes only and many other sensory and
energy metrology considerations should be considered for the
optimization of holographic propagation of energy. In an additional
embodiment, 1 gigapixel of energy resolution locations may be
desired based upon the input variables. In an additional
embodiment, 1,000 gigapixels of energy resolution locations may be
desired based upon the input variables.
Current Technology Limitations:
Active Area, Device Electronics, Packaging, and the Mechanical
Envelope
[0113] FIG. 2 illustrates a device 200 having an active area 220
with a certain mechanical form factor. The device 200 may include
drivers 230 and electronics 240 for powering and interface to the
active area 220, the active area having a dimension as shown by the
x and y arrows. This device 200 does not take into account the
cabling and mechanical structures to drive, power and cool
components, and the mechanical footprint may be further minimized
by introducing a flex cable into the device 200. The minimum
footprint for such a device 200 may also be referred to as a
mechanical envelope 210 having a dimension as shown by the M:x and
M:y arrows. This device 200 is for illustration purposes only and
custom electronics designs may further decrease the mechanical
envelope overhead, but in almost all cases may not be the exact
size of the active area of the device. In an embodiment, this
device 200 illustrates the dependency of electronics as it relates
to active image area 220 for a micro OLED; DLP chip or LCD panel,
or any other technology with the purpose of image illumination.
[0114] In some embodiments, it may also be possible to consider
other projection technologies to aggregate multiple images onto a
larger overall display. However, this may come at the cost of
greater complexity for throw distance, minimum focus, optical
quality, uniform field resolution, chromatic aberration, thermal
properties, calibration, alignment, additional size or form factor
For most practical applications, hosting tens or hundreds of these
projection sources 200 may result in a design that is much larger
with less reliability.
[0115] For exemplary purposes only, assuming energy devices with an
energy location density of 3840.times.2160 sites, one may determine
the number of individual energy devices (e.g., device 100) desired
for an energy surface, given:
Devices .times. .times. H = Total .times. .times. Resolution
.times. .times. H Device .times. .times. Resolution .times. .times.
H ##EQU00004## Devices .times. .times. V = Total .times. .times.
Resolution .times. .times. V Device .times. .times. Resolution
.times. .times. V ##EQU00004.2##
[0116] Given the above resolution considerations, approximately
105.times.105 devices similar to those shown in FIG. 2 may be
desired. It should be noted that many devices may include various
pixel structures that may or may not map to a regular grid. In the
event that there are additional sub-pixels or locations within each
full pixel, these may be exploited to generate additional
resolution or angular density. Additional signal processing may be
used to determine how to convert the light field into the correct
(u,v) coordinates depending on the specified location of the pixel
structure(s) and can be an explicit characteristic of each device
that is known and calibrated. Further, other energy domains may
involve a different handling of these ratios and device structures,
and those skilled in the art will understand the direct intrinsic
relationship between each of the desired frequency domains. This
will be shown and discussed in more detail in subsequent
disclosure.
[0117] The resulting calculation may be used to understand how many
of these individual devices may be desired to produce a full
resolution energy surface. In this case, approximately
105.times.105 or approximately 11,080 devices may be desired to
achieve the visual acuity threshold. The challenge and novelty
exists within the fabrication of a seamless energy surface from
these available energy locations for sufficient sensory holographic
propagation.
Summary of Seamless Energy Surfaces:
Configurations and Designs for Arrays of Energy Relays
[0118] In some embodiments, approaches are disclosed to address the
challenge of generating high energy location density from an array
of individual devices without seams due to the limitation of
mechanical structure for the devices. In an embodiment, an energy
propagating relay system may allow for an increase in the effective
size of the active device area to meet or exceed the mechanical
dimensions to configure an array of relays and form a singular
seamless energy surface.
[0119] FIG. 3 illustrates an embodiment of such an energy relay
system 300. As shown, the relay system 300 may include a device 310
mounted to a mechanical envelope 320, with an energy relay element
330 propagating energy from the device 310. The relay element 330
may be configured to provide the ability to mitigate any gaps 340
that may be produced when multiple mechanical envelopes 320 of the
device are placed into an array of multiple devices 310.
[0120] For example, if a device's active area 310 is 20 mm.times.10
mm and the mechanical envelope 320 is 40 mm.times.20 mm, an energy
relay element 330 may be designed with a magnification of 2:1 to
produce a tapered form that is approximately 20 mm.times.10 mm on a
minified end (arrow A) and 40 mm.times.20 mm on a magnified end
(arrow B), providing the ability to align an array of these
elements 330 together seamlessly without altering or colliding with
the mechanical envelope 320 of each device 310. Mechanically, the
relay elements 330 may be bonded or fused together to align and
polish ensuring minimal seam gap 340 between devices 310. In one
such embodiment, it is possible to achieve a seam gap 340 smaller
than the visual acuity limit of the eye.
[0121] FIG. 4 illustrates an example of a base structure 400 having
energy relay elements 410 formed together and securely fastened to
an additional mechanical structure 430. The mechanical structure of
the seamless energy surface 420 provides the ability to couple
multiple energy relay elements 410, 450 in series to the same base
structure through bonding or other mechanical processes to mount
relay elements 410, 450. In some embodiments, each relay element
410 may be fused, bonded, adhered, pressure fit, aligned or
otherwise attached together to form the resultant seamless energy
surface 420. In some embodiments, a device 480 may be mounted to
the rear of the relay element 410 and aligned passively or actively
to ensure appropriate energy location alignment within the
determined tolerance is maintained.
[0122] In an embodiment, the seamless energy surface comprises one
or more energy locations and one or more energy relay element
stacks comprise a first and second side and each energy relay
element stack is arranged to form a singular seamless display
surface directing energy along propagation paths extending between
one or more energy locations and the seamless display surface, and
where the separation between the edges of any two adjacent second
sides of the terminal energy relay elements is less than the
minimum perceptible contour as defined by the visual acuity of a
human eye having better than 20/40 vision at a distance greater
than the width of the singular seamless display surface.
[0123] In an embodiment, each of the seamless energy surfaces
comprise one or more energy relay elements each with one or more
structures forming a first and second surface with a transverse and
longitudinal orientation. The first relay surface has an area
different than the second resulting in positive or negative
magnification and configured with explicit surface contours for
both the first and second surfaces passing energy through the
second relay surface to substantially fill a +/-10-degree angle
with respect to the normal of the surface contour across the entire
second relay surface.
[0124] In an embodiment, multiple energy domains may be configured
within a single, or between multiple energy relays to direct one or
more sensory holographic energy propagation paths including visual,
acoustic, tactile or other energy domains.
[0125] In an embodiment, the seamless energy surface is configured
with energy relays that comprise two or more first sides for each
second side to both receive and emit one or more energy domains
simultaneously to provide bi-directional energy propagation
throughout the system.
[0126] In an embodiment, the energy relays are provided as loose
coherent elements.
Introduction to Component Engineered Structures:
Disclosed Advances in Transverse Anderson Localization Energy
Relays
[0127] The properties of energy relays may be significantly
optimized according to the principles disclosed herein for energy
relay elements that induce Transverse Anderson Localization
Transverse Anderson Localization is the propagation of a ray
transported through a transversely disordered but longitudinally
consistent material.
[0128] This implies that the effect of the materials that produce
the Anderson Localization phenomena may be less impacted by total
internal reflection than by the randomization between
multiple-scattering paths where wave interference can completely
limit the propagation in the transverse orientation while
continuing in the longitudinal orientation.
[0129] Of significant additional benefit is the elimination of the
cladding of traditional multi-core optical fiber materials. The
cladding is to functionally eliminate the scatter of energy between
fibers, but simultaneously act as a barrier to rays of energy
thereby reducing transmission by at least the core to clad ratio
(e.g., a core to clad ratio of 70:30 will transmit at best 70% of
received energy transmission) and additionally forms a strong
pixelated patterning in the propagated energy.
[0130] FIG. 5A illustrates an end view of an example of one such
non-Anderson Localization energy relay 500 wherein an image is
relayed through multi-core optical fibers where pixilation and
fiber noise may be exhibited due to the intrinsic properties of the
optical fibers. With traditional multi-mode and multi-core optical
fibers, relayed images may be intrinsically pixelated due to the
properties of total internal reflection of the discrete array of
cores where any cross-talk between cores will reduce the modulation
transfer function and increase blurring. The resulting imagery
produced with traditional multi-core optical fiber tends to have a
residual fixed noise fiber pattern similar to those shown in FIG.
5A.
[0131] FIG. 5B, illustrates an example of the same relayed image
550 through an energy relay comprising materials that exhibit the
properties of Transverse Anderson Localization, where the relayed
pattern has a greater density grain structures as compared to the
fixed fiber pattern from FIG. 5A. In an embodiment, relays
comprising randomized microscopic component engineered structures
induce Transverse Anderson Localization and transport light more
efficiently with higher propagation of resolvable resolution than
commercially available multi-mode glass optical fibers.
[0132] In an embodiment, a relay element exhibiting Transverse
Anderson Localization may comprise a plurality of at least two
different component engineered structures in each of three
orthogonal planes arranged in a dimensional lattice and the
plurality of structures form randomized distributions of material
wave propagation properties in a transverse plane within the
dimensional lattice and channels of similar values of material wave
propagation properties in a longitudinal plane within the
dimensional lattice, wherein energy waves propagating through the
energy relay have higher transport efficiency in the longitudinal
orientation versus the transverse orientation and are spatially
localized in the transverse orientation.
[0133] In an embodiment, a randomized distribution of material wave
propagation properties in a transverse plane within the dimensional
lattice may lead to undesirable configurations due to the
randomized nature of the distribution. A randomized distribution of
material wave propagation properties may induce Anderson
Localization of energy on average across the entire transverse
plane, however limited areas of similar materials having similar
wave propagation properties may form inadvertently as a result of
the uncontrolled random distribution. For example, if the size of
these local areas of similar wave propagation properties become too
large relative to their intended energy transport domain, there may
be a potential reduction in the efficiency of energy transport
through the material
[0134] In an embodiment, a relay may be formed from a randomized
distribution of component engineered structures to transport
visible light of a certain wavelength range by inducing Transverse
Anderson Localization of the light. However, due to their random
distribution, the structures may inadvertently arrange such that a
continuous area of a single component engineered structure forms
across the transverse plane which is multiple times larger than the
wavelength of visible light. As a result, visible light propagating
along the longitudinal axis of the large, continuous,
single-material region may experience a lessened Transverse
Anderson Localization effect and may suffer degradation of
transport efficiency through the relay
[0135] In an embodiment, it may be desirable to design a non-random
pattern of material wave propagation properties in the transverse
plane of an energy relay material. Such a non-random (or "ordered")
distribution would ideally induce an energy localization effect
through methods similar to Transverse Anderson Localization, while
minimizing potential reductions in transport efficiency due to
abnormally distributed material properties inherently resulting
from a random property distribution.Using a non-random pattern of
material wave propagation properties to induce a transverse energy
localization effect similar to that of Transverse Anderson
Localization in an energy relay element will hereafter be referred
to as Ordered Energy Localization.
[0136] In an embodiment, multiple energy domains may be configured
within a single, or between multiple Ordered Energy Localization
energy relays to direct one or more sensory holographic energy
propagation paths including visual, acoustic, tactile or other
energy domains.
[0137] In an embodiment, a seamless energy surface is configured
with Ordered Energy Localization energy relays that comprise two or
more first sides for each second side to both receive and emit one
or more energy domains simultaneously to provide bi-directional
energy propagation throughout the system.
[0138] In an embodiment, the Ordered Energy Localization energy
relays are configured as loose coherent or flexible energy relay
elements.
Considerations for 4D Plenoptic Functions:
Selective Propagation of Energy through Holographic Waveguide
Arrays
[0139] As discussed above and herein throughout, a light field
display system generally includes an energy source (e.g.,
illumination source) and a seamless energy surface configured with
sufficient energy location density as articulated in the above
discussion. A plurality of relay elements may be used to relay
energy from the energy devices to the seamless energy surface. Once
energy has been delivered to the seamless energy surface with the
requisite energy location density, the energy can be propagated in
accordance with a 4D plenoptic function through a disclosed energy
waveguide system. As will be appreciated by one of ordinary skill
in the art, a 4D plenoptic function is well known in the art and
will not be elaborated further herein
[0140] The energy waveguide system selectively propagates energy
through a plurality of energy locations along the seamless energy
surface representing the spatial coordinate of the 4D plenoptic
function with a structure configured to alter an angular direction
of the energy waves passing through representing the angular
component of the 4D plenoptic function, wherein the energy waves
propagated may converge in space in accordance with a plurality of
propagation paths directed by the 4D plenoptic function.
[0141] Reference is now made to FIG. 6 illustrating an example of
light field energy surface in 4D image space in accordance with a
4D plenoptic function. The figure shows ray traces of an energy
surface 600 to a viewer 620 in describing how the rays of energy
converge in space 630 from various positions within the viewing
volume As shown, each waveguide element 610 defines four dimensions
of information describing energy propagation 640 through the energy
surface 600. Two spatial dimensions (herein referred to as x and y)
are the physical plurality of energy locations that can be viewed
in image space, and the angular components theta and phi (herein
referred to as u and v), which is viewed in virtual space when
projected through the energy waiveguide array. In general, and in
accordance with a 4D plenoptic function, the plurality of
waveguides (e g , lenslets) are able to direct an energy location
from the x, y dimension to a unique location in virtual space,
along a direction defined by the u, v angular component, in forming
the holographic or light field system described herein.
[0142] However, one skilled in the art will understand that a
significant challenge to light field and holographic display
technologies arises from uncontrolled propagation of energy due to
designs that have not accurately accounted for any of diffraction,
scatter, diffusion, angular direction, calibration, focus,
collimation, curvature, uniformity, element cross-talk, as well as
a multitude of other parameters that contribute to decreased
effective resolution as well as an inability to accurately converge
energy with sufficient fidelity
[0143] In an embodiment, an approach to selective energy
propagation for addressing challenges associated with holographic
display may include energy inhibiting elements and substantially
filling waveguide apertures with near-collimated energy into an
environment defined by a 4D plenoptic function.
[0144] In an embodiment, an array of energy waveguides may define a
plurality of energy propagation paths for each waveguide element
configured to extend through and substantially fill the waveguide
element's effective aperture in unique directions defined by a
prescribed 4D function to a plurality of energy locations along a
seamless energy surface inhibited by one or more elements
positioned to limit propagation of each energy location to only
pass through a single waveguide element.
[0145] In an embodiment, multiple energy domains may be configured
within a single, or between multiple energy waveguides to direct
one or more sensory holographic energy propagations including
visual, acoustic, tactile or other energy domains.
[0146] In an embodiment, the energy waveguides and seamless energy
surface are configured to both receive and emit one or more energy
domains to provide bi-directional energy propagation throughout the
system.
[0147] In an embodiment, the energy waveguides are configured to
propagate non-linear or non regular distributions of energy,
including non-transmitting void regions, leveraging digitally
encoded, diffractive, refractive, reflective, grin, holographic,
Fresnel, or the like waveguide configurations for any seamless
energy surface orientation including wall, table, floor, ceiling,
room, or other geometry based environments. In an additional
embodiment, an energy waveguide element may be configured to
produce various geometries that provide any surface profile and/or
tabletop viewing allowing users to view holographic imagery from
all around the energy surface in a 360-degree configuration.
[0148] In an embodiment, the energy waveguide array elements may be
reflective surfaces and the arrangement of the elements may be
hexagonal, square, irregular, semi-regular, curved, non-planar,
spherical, cylindrical, tilted regular, tilted irregular, spatially
varying and/or multi-layered.
[0149] For any component within the seamless energy surface,
waveguide, or relay components may include, but not limited to,
optical fiber, silicon, glass, polymer, optical relays,
diffractive, holographic, refractive, or reflective elements,
optical face plates, energy combiners, beam splitters, prisms,
polarization elements, spatial light modulators, active pixels,
liquid crystal cells, transparent displays, or any similar
materials exhibiting Anderson localization or total internal
reflection.
Realizing the Holodeck:
Aggregation of Bi-directional Seamless Energy Surface Systems to
Stimulate Human Sensory Receptors within Holographic
Environments
[0150] It is possible to construct large-scale environments of
seamless energy surface systems by tiling, fusing, bonding,
attaching, and/or stitching multiple seamless energy surfaces
together forming arbitrary sizes, shapes, contours or form-factors
including entire rooms. Each energy surface system may comprise an
assembly having a base structure, energy surface, relays,
waveguide, devices, and electronics, collectively configured for
bi-directional holographic energy propagation, emission,
reflection, or sensing.
[0151] In an embodiment, an environment of tiled seamless energy
systems are aggregated to form large seamless planar or curved
walls including installations comprising up to all surfaces in a
given environment, and configured as any combination of seamless,
discontinuous planar, faceted, curved, cylindrical, spherical,
geometric, or non-regular geometries.
[0152] In an embodiment, aggregated tiles of planar surfaces form
wall-sized systems for theatrical or venue-based holographic
entertainment. In an embodiment, aggregated tiles of planar
surfaces cover a room with four to six walls including both ceiling
and floor for cave-based holographic installations In an
embodiment, aggregated tiles of curved surfaces produce a
cylindrical seamless environment for immersive holographic
installations. In an embodiment, aggregated tiles of seamless
spherical surfaces form a holographic dome for immersive
Holodeck-based experiences.
[0153] In an embodiment, aggregated tiles of seamless curved energy
waveguides provide mechanical edges following the precise pattern
along the boundary of energy inhibiting elements within the energy
waveguide structure to bond, align, or fuse the adjacent tiled
mechanical edges of the adjacent waveguide surfaces, resulting in a
modular and seamless energy waveguide system.
[0154] In a further embodiment of an aggregated tiled environment,
energy is propagated bi-directionally for multiple simultaneous
energy domains In an additional embodiment, the energy surface
provides the ability to both display and capture simultaneously
from the same energy surface with waveguides designed such that
light field data may be projected by an illumination source through
the waveguide and simultaneously received through the same energy
surface. In an additional embodiment, additional depth sensing and
active scanning technologies may be leveraged to allow for the
interaction between the energy propagation and the viewer in
correct world coordinates. In an additional embodiment, the energy
surface and waveguide are operable to emit, reflect or converge
frequencies to induce tactile sensation or volumetric haptic
feedback In some embodiments, any combination of bi-directional
energy propagation and aggregated surfaces are possible.
[0155] In an embodiment, the system comprises an energy waveguide
capable of bi-directional emission and sensing of energy through
the energy surface with one or more energy devices independently
paired with two-or-more-path energy combiners to pair at least two
energy devices to the same portion of the seamless energy surface,
or one or more energy devices are secured behind the energy
surface, proximate to an additional component secured to the base
structure, or to a location in front and outside of the FOV of the
waveguide for off-axis direct or reflective projection or sensing,
and the resulting energy surface provides for bi-directional
transmission of energy allowing the waveguide to converge energy, a
first device to emit energy and a second device to sense energy,
and where the information is processed to perform computer vision
related tasks including, but not limited to, 4D plenoptic eye and
retinal tracking or sensing of interference within propagated
energy patterns, depth estimation, proximity, motion tracking,
image, color, or sound formation, or other energy frequency
analysis In an additional embodiment, the tracked positions
actively calculate and modify positions of energy based upon the
interference between the bi-directional captured data and
projection information.
[0156] In some embodiments, a plurality of combinations of three
energy devices comprising an ultrasonic sensor, a visible
electromagnetic display, and an ultrasonic emitting, device are
configured together for each of three first relay surfaces
propagating energy combined into a single second energy relay
surface with each of the three first surfaces comprising engineered
properties specific to each device's energy domain, and two
engineered waveguide elements configured for ultrasonic and
electromagnetic energy respectively to provide the ability to
direct and converge each device's energy independently and
substantially unaffected by the other waveguide elements that are
configured for a separate energy domain
[0157] In some embodiments, disclosed is a calibration procedure to
enable efficient manufacturing to remove system artifacts and
produce a geometric mapping of the resultant energy surface for use
with encoding/decoding technologies as well as dedicated integrated
systems for the conversion of data into calibrated information
appropriate for energy propagation based upon the calibrated
configuration files.
[0158] In some embodiments, additional energy waveguides in series
and one or more energy devices may be integrated into a system to
produce opaque holographic pixels.
[0159] In some embodiments, additional waveguide elements may be
integrated comprising energy inhibiting elements, beam-splitters,
prisms, active parallax barriers or polarization technologies in
order to provide spatial and/or angular resolutions greater than
the diameter of the waveguide or for other super-resolution
purposes.
[0160] In some embodiments, the disclosed energy system may also be
configured as a wearable bi-directional device, such as virtual
reality (VR) or augmented reality (AR). In other embodiments, the
energy system may include adjustment optical element(s) that cause
the displayed or received energy to be focused proximate to a
determined plane in space for a viewer. In some embodiments, the
waveguide array may be incorporated to holographic
head-mounted-display. In other embodiments, the system may include
multiple optical paths to allow for the viewer to see both the
energy system and a real-world environment (e g , transparent
holographic display). In these instances, the system may be
presented as near field in addition to other methods.
[0161] In some embodiments, the transmission of data comprises
encoding processes with selectable or variable compression ratios
that receive an arbitrary dataset of information and metadata;
analyze said dataset and receive or assign material properties,
vectors, surface IDs, new pixel data forming a more sparse dataset,
and wherein the received data may comprise: 2D, stereoscopic,
multi-view, metadata, light field, holographic, geometry, vectors
or vectorized metadata, and an encoder/decoder may provide the
ability to convert the data in real-time or off-line comprising
image processing for: 2D; 2D plus depth, metadata or other
vectorized information; stereoscopic, stereoscopic plus depth,
metadata or other vectorized information; multi-view; multi-view
plus depth, metadata or other vectorized information, holographic;
or light field content; through depth estimation algorithms, with
or without depth metadata; and an inverse ray tracing methodology
appropriately maps the resulting converted data produced by inverse
ray tracing from the various 2D, stereoscopic, multi-view,
volumetric, light field or holographic data into real world
coordinates through a characterized 4D plenoptic function. In these
embodiments, the total data transmission desired may be multiple
orders of magnitudes less transmitted information than the raw
light field dataset.
Tapered Energy Relays
[0162] In order to further solve the challenge of generating high
resolution from an array of individual energy wave sources
containing extended mechanical envelopes, the use of tapered energy
relays can be employed to increase the effective size of each
energy source. An array of tapered energy relays can be stitched
together to form a singular contiguous energy surface,
circumventing the limitation of mechanical requirements for those
energy sources.
[0163] In an embodiment, the one or more energy relay elements may
be configured to direct energy along propagation paths which extend
between the one or more energy locations and the singular seamless
energy surface.
[0164] For example, if an energy wave source's active area is 20
mm.times.10 mm and the mechanical envelope is 40 mm.times.20 mm, a
tapered energy relay may be designed with a magnification of 2:1 to
produce a taper that is 20 mm.times.10 mm (when cut) on the
minified end and 40 mm.times.20 mm (when cut) on the magnified end,
providing the ability to align an array of these tapers together
seamlessly without altering or violating the mechanical envelope of
each energy wave source.
[0165] FIG. 72 illustrates one such tapered energy relay mosaic
arrangement 7400, in accordance with one embodiment of the present
disclosure. In FIG. 72, the relay device 7400 may include two or
more relay elements 7402, each relay element 7402 formed of one or
more structures, each relay element 7402 having a first surface
7406, a second surface 7408, a transverse orientation (generally
parallel to the surfaces 7406, 7408) and a longitudinal orientation
(generally perpendicular to the surfaces 7406, 7408). The surface
area of the first surface 7406 may be different than the surface
area of the second surface 7408. For relay element 7402, the
surface area of the first surface 7406 is less than the surface
area of the second surface 7408 In another embodiment, the surface
area of the first surface 7406 may be the same or greater than the
surface area of the second surface 7408. Energy waves can pass from
the first surface 7406 to the second surface 7408, or vice
versa.
[0166] In FIG. 72, the relay element 7402 of the relay element
device 7400 includes a sloped profile portion 7404 between the
first surface 7406 and the second surface 7408. In operation,
energy waves propagating between the first surface 7406 and the
second surface 7408 may have a higher transport efficiency in the
longitudinal orientation than in the transverse orientation, and
energy waves passing through the relay element 7402 may result in
spatial magnification or spatial de-magnification. In other words,
energy waves passing through the relay element 7402 of the relay
element device 7400 may experience increased magnification or
decreased magnification. In an embodiment, energy may be directed
through the one or more energy relay elements with zero
magnification. In some embodiments, the one or more structures for
forming relay element devices may include glass, carbon, optical
fiber, optical film, plastic, polymer, or mixtures thereof.
[0167] In one embodiment, the energy waves passing through the
first surface have a first resolution, while the energy waves
passing through the second surface have a second resolution, and
the second resolution is no less than about 50% of the first
resolution. In another embodiment, the energy waves, while having a
uniform profile when presented to the first surface, may pass
through the second surface radiating in every direction with an
energy density in the forward direction that substantially fills a
cone with an opening angle of +/-10 degrees relative to the normal
to the second surface, irrespective of location on the second relay
surface.
[0168] In some embodiments, the first surface may be configured to
receive energy from an energy wave source, the energy wave source
including a mechanical envelope having a width different than the
width of at least one of the first surface and the second
surface.
[0169] In an embodiment, energy may be transported between first
and second surfaces which defines the longitudinal orientation, the
first and second surfaces of each of the relays extends generally
along a transverse orientation defined by the first and second
directions, where the longitudinal orientation is substantially
normal to the transverse orientation. In an embodiment, energy
waves propagating through the plurality of relays have higher
transport efficiency in the longitudinal orientation than in the
transverse orientation and are spatially localized in the
transverse plane due to randomized refractive index variability in
the transverse orientation coupled with minimal refractive index
variation in the longitudinal orientation via, the principle of
Transverse Anderson Localization. In some embodiments where each
relay is constructed of multicore fiber, the energy waves
propagating within each relay element may travel in the
longitudinal orientation determined by the alignment of fibers in
this orientation.
[0170] Mechanically, these tapered energy relays are cut and
polished to a high degree of accuracy before being bonded or fused
together in order to align them and ensure that the smallest
possible seam gap between the relays. The seamless surface formed
by the second surfaces of energy relays is polished after the
relays are bonded. In one such embodiment, using an epoxy that is
thermally matched to the taper material, it is possible to achieve
a maximum seam gap of 50 mm. In another embodiment, a manufacturing
process that places the taper array under compression and/or heat
provides the ability to fuse the elements together. In another
embodiment, the use of plastic tapers can be more easily chemically
fused or heat-treated to create the bond without additional
bonding. For the avoidance of doubt, any methodology may be used to
bond the array together, to explicitly include no bond other than
gravity and/ or force
[0171] In an embodiment, a separation between the edges of any two
adjacent second surfaces of the terminal energy relay elements may
be less than a minimum perceptible contour as defined by the visual
acuity of a human eye having 20/40 vision at a distance from the
seamless energy surface that is the lesser of a height of the
singular seamless energy surface or a width of the singular
seamless energy surface.
[0172] A mechanical structure may be preferable in order to hold
the multiple components in a fashion that meets a certain tolerance
specification. In some embodiments, the first and second surfaces
of tapered relay elements can have any polygonal shapes including
without limitation circular, elliptical, oval, triangular, square,
rectangle, parallelogram, trapezoidal, diamond, pentagon, hexagon,
and so forth In some examples, for non-square tapers, such as
rectangular tapers for example, the relay elements may be rotated
to have the minimum taper dimension parallel to the largest
dimensions of the overall energy source. This approach allows for
the optimization of the energy source to exhibit the lowest
rejection of rays of light due to the acceptance cone of the
magnified relay element as when viewed from center point of the
energy source. For example, if the desired energy source size is
100 mm by 60 mm and each tapered energy relay is 20 mm by 10 mm,
the relay elements may be aligned and rotated such that an array of
3 by 10 taper energy relay elements may be combined to produce the
desired energy source size. Nothing here should suggest that an
array with an alternative configuration of an array of 6 by 5
matrix, among other combinations, could not be utilized. The array
comprising of a 3.times.10 layout generally will perform better
than the alternative 6.times.5 layout.
Energy Relay Element Stacks
[0173] While the most simplistic formation of an energy source
system comprises of an energy source bonded to a single tapered
energy relay element, multiple relay elements may be coupled to
form a single energy source module with increased quality or
flexibility. One such embodiment includes a first tapered energy
relay with the minified end attached to the energy source, and a
second tapered energy relay connected to the first relay element,
with the minified end of the second optical taper in contact with
the magnified end of the first relay element, generating a total
magnification equal to the product of the two individual taper
magnifications. This is an example of an energy relay element stack
comprising of a sequence of two or more energy relay elements, with
each energy relay element comprising a first side and a second
side, the stack relaying energy from the first surface of the first
element to the second surface of the last element in the sequence,
also named the terminal surface Each energy relay element may be
configured to direct energy therethrough.
[0174] In an embodiment, an energy directing device comprises one
or more energy locations and one or more energy relay element
stacks. Each energy relay element stack comprises one or more
energy relay elements, with each energy relay element comprising a
first surface and a second surface. Each energy relay element may
be configured to direct energy therethrough. In an embodiment, the
second surfaces of terminal energy relay elements of each energy
relay element stack may be arranged to form a singular seamless
display surface. In an embodiment, the one or more energy relay
element stacks may be configured to direct energy along energy
propagation paths which extend between the one or more energy
locations and the singular seamless display surfaces
[0175] FIG. 73 illustrates a side view of an energy relay element
stack 7500 including two compound optical relay tapers 7502, 7504
in series, both tapers with minified ends facing an energy source
surface 7506, in accordance with an embodiment of the present
disclosure. In FIG. 73, the input numerical aperture (NA) is 1.0
for the input of taper 7504, but only about 0:16 for the output of
taper 7502. Notice that the output numerical aperture gets divided
by the total magnification of 6, which is the product of 2 for
taper 7504, and 3 for taper 7502 One advantage of this approach is
the ability to customize the first energy wave relay element to
account for various dimensions of energy source without alteration
of the second energy wave relay element. It additionally provides
the flexibility to alter the size of the output energy surface
without changing the design of the energy source or the first relay
element. Also shown in FIG. 73 is the energy source 7506 and the
mechanical envelope 7508 containing the energy source drive
electronics.
[0176] In an embodiment, the first surface may be configured to
receive energy waves from an energy source unit (e.g., 7506), the
energy source unit including a mechanical envelope having a width
different than the width of at least one of the first surface and
the second surface. In one embodiment, the energy waves passing
through the first surface may have a first resolution, while the
energy waves passing through the second surface may have a second
resolution, such that the second resolution is no less than about
50% of the first resolution. In another embodiment, the energy
waves, while having a uniform profile when presented to the first
surface, may pass through the second surface radiating in every
direction with an energy density in the forward direction that
substantially fills a cone with an opening angle of +/-10 degrees
relative to the normal to the second surface, irrespective of
location on the second relay surface
[0177] In one embodiment, the plurality of energy relay elements in
the stacked configuration may include a plurality of faceplates
(relays with unity magnification). In some embodiments, the
plurality of faceplates may have different lengths or are loose
coherent optical relays. In other embodiments, the plurality of
elements may have sloped profile portions, where the sloped profile
portions may be angled, linear, curved, tapered, faceted or aligned
at a non-perpendicular angle relative to a normal axis of the relay
element. In yet another embodiment, energy waves propagating
through the plurality of relay elements have higher transport
efficiency in the longitudinal orientation than in the transverse
orientation and are spatially localized in the transverse
orientation due to randomized refractive index variability in the
transverse orientation coupled with minimal refractive index
variation in the longitudinal orientation. In embodiments where
each energy relay is constructed of multicore fiber, the energy
waves propagating within each relay element may travel in the
longitudinal orientation determined by the alignment of fibers in
this orientation.
Optical Image Relay and Taper Elements
[0178] Extremely dense fiber bundles can be manufactured with a
plethora of materials to enable light to be relayed with pixel
coherency and high transmission. Optical fibers provide the
guidance of light along transparent fibers of glass, plastic, or a
similar medium. This phenomenon is controlled by a concept called
total internal reflection. A ray of light will be totally
internally reflected between two transparent optical materials with
a different index of refraction when the ray is contained within
the critical angle of the material and the ray is incident from the
direction of the more dense material.
[0179] FIG. 74 demonstrates the fundamental principles of internal
reflection through a core-clad relay 7600 having a maximum
acceptance angle O 7608 (or NA of the material), core 7612 and clad
7602 materials with differing refractive indices, and reflected
7604 and refracted 7610 rays. In general, the transmission of light
decreases by less than 0.001 percent per reflection and a fiber
that is about 50 microns in diameter may have 3,000 reflections per
foot, which is helpful to understand how efficient that light
transmission may be as compared to other compound optical
methodologies.
[0180] One can calculate the relationship between the angle of
incidence (I) and the angle of refraction (R) with Snell's law:
sin .times. .times. .theta. I sin .times. .times. .theta. R = n 2 n
1 , ##EQU00005##
where n.sub.1 is the index of refraction of air and n.sub.2 as the
index of refraction of the core material 7612.
[0181] One skilled at the art of fiber optics will understand the
additional optical principles associated with light gathering
power, maximum angle of acceptance, and other required calculations
to understand how light travels through the optical fiber
materials. It is important to understand this concept, as the
optical fiber materials should be considered a relay of light
rather than a methodology to focus light as will be described
within the following embodiments.
[0182] Understanding the angular distribution of light that exits
the optical fiber is important to this disclosure, and may not be
the same as would be expected based upon the incident angle.
Because the exit azimuthal angle of the ray 7610 tends to vary
rapidly with the maximum acceptance angle 7608, the length and
diameter of the fiber, as well as the other parameters of the
materials, the emerging rays tend to exit the fiber as a conical
shape as defined by the incident and refracted angles.
[0183] FIG. 75 demonstrates an optical fiber relay system 7704 and
how a ray of light 7702 entering an optical fiber 7704 may exit in
a conical shape distribution of light 7706 with a specific
azimuthal angle O. This effect may be observed by shining a laser
pointer through a fiber and view the output ray at various
distances and angles on a surface. The conical shape of exit with a
distribution of light across the entire conical region (e.g., not
only the radius of the conical shape) which will be an important
concept moving forward with the designs proposed.
[0184] The main source for transmission loss in fiber materials are
cladding, length of material, and loss of light for rays outside of
the acceptance angle. The cladding is the material that surrounds
each individual fiber within the larger bundle to insulate the core
and help mitigate rays of light from traveling between individual
fibers. In addition to this, additional opaque materials may be
used to absorb light outside of acceptance angle called extra mural
absorption (EMA). Both materials can help improve viewed image
quality in terms of contrast, scatter and a number of other
factors, but may reduce the overall light transmission from entry
to exit. For simplicity, the percent of core to clad can be used to
understand the approximate transmission potential of the fiber, as
this may be one of the reasons for the loss of light. In most
materials, the core to clad ratio may be in the range of
approximately about 50% to about 80%, although other types of
materials may be available and will be explored in the below
discussion.
[0185] Each fiber may be capable of resolving approximately 0.5
photographic line pairs per fiber diameter, thus when relaying
pixels, it may be important to have more than a single fiber per
pixel. In some embodiments, a dozen or so per pixel may be
utilized, or three or more fibers may be acceptable, as the average
resolution between each of the fibers helps mitigate the associate
MTF loss, when leveraging these materials.
[0186] In one embodiment, optical fiber may be implemented in the
form of a fiber optic faceplate A faceplate is a collection of
single or multi, or multi-multi fibers, fused together to form a
vacuum-tight glass plate. This plate can be considered a
theoretically zero-thickness window as the image presented to one
side of the faceplate may be transported to the external surface
with high efficiency. Traditionally, these faceplates may be
constructed with individual fibers with a pitch of about 6 microns
or larger, although higher density may be achieved albeit at the
effectiveness of the cladding material which may ultimately reduce
contrast and image quality.
[0187] In some embodiments, an optical fiber bundle may be tapered
resulting in a coherent mapping of pixels with different sizes and
commensurate magnification of each surface For example, the
magnified end may refer to the side of the optical fiber element
with the larger fiber pitch and higher magnification, and the
minified end may refer to the side of the optical fiber element
with the smaller fiber pitch and lower magnification. The process
of producing various shapes may involve heating and fabrication of
the desired magnification, which may physically alter the original
pitch of the optical fibers from their original size to a smaller
pitch thus changing the angles of acceptance, depending on location
on the taper and NA. Another factor is that the fabrication process
can skew the perpendicularity of fibers to the flat surfaces. One
of the challenges with a taper design, among others, is that the
effective NA of each end may change approximately proportional to
the percentage of magnification For example, a taper with a 2:1
ratio may have a minified end with a diameter of 10 mm and a
magnified end with a diameter of 20 mm If the original material had
an NA of 0.5 with a pitch of 10 microns, the minified end will,
have an approximately effective NA of 1.0 and pitch of 5 microns.
The resulting acceptance and exit angles may change proportionally
as well. There is far more complex analysis that can be performed
to understand the exacting results from this process and anyone
skilled in the art will be able to perform these calculations For
the purposes of this discussion, these generalizations are
sufficient to understand the imaging implications as well as
overall systems and methods.
Use of Flexible Energy Sources and Curved Energy Relay Surfaces
[0188] It may be possible to manufacture certain energy source
technologies or energy projection technologies with curved
surfaces. For example, in one embodiment, for a source of energy, a
curved OLED display panel may be used. In another embodiment, for a
source of energy, a focus-free laser projection system may be
utilized. In yet another embodiment, a projection system with a
sufficiently wide depth of field to maintain focus across the
projected surface may be employed. For the avoidance of doubt,
these examples are provided for exemplary purposes and in no way
limit the scope of technological implementations for this
description of technologies.
[0189] Given the ability for optical technologies to produce a
steered cone of light based upon the chief ray angle (CRA) of the
optical configuration, by leveraging a curved energy surface, or a
curved surface that may retain a fully focused projected image with
known input angles of light and respective output modified angles
may provide a more idealized viewed angle of light.
[0190] In one such embodiment, the energy surface side of the
optical relay element may be curved in a cylindrical, spherical,
planar, or non-planar polished configuration (herein referred to as
"geometry" or "geometric") on a per module basis, where the energy
source originates from one more source modules. Each effective
light-emitting energy source has its own respective viewing angle
that is altered through the process of deformation. Leveraging this
curved energy source or similar panel technology allows for panel
technology that may be less susceptible to deformation and a
reconfiguration of the CRA or optimal viewing angle of each
effective pixel.
[0191] FIG. 76 illustrates an optical relay taper configuration
7800 with a 3:1 magnification factor and the resulting viewed angle
of light of an attached energy source, in accordance with one
embodiment of the present disclosure. The optical relay taper has
an input. NA of 1.0 with a 3:1 magnification factor resulting in an
effective NA for output rays of approximately 0.33 (there are many
other factors involved here, this is for simplified reference
only), with planar and perpendicular surfaces on either end of the
tapered energy relay, and an energy source attached to the minified
end. Leveraging this approach alone, the angle of view of the
energy surface may be approximately 1/3 of that of the input angle.
For the avoidance of doubt, a similar configuration with an
effective magnification of 1:1 (leveraging an optical faceplate or
otherwise) may additionally be leveraged, or any other optical
relay type or configuration.
[0192] FIG. 77 illustrates the same tapered energy relay module
7900 as that of FIG. 76 but now with a surface on an energy source
side having a curved geometric configuration 7902 while a surface
opposite an energy source side 7903 having a planar surface and
perpendicular to an optical axis of the module 7900. With this
approach, the input angles (e.g., see arrows near 7902) may be
biased based upon this geometry, and the output angles (e g , see
arrows near 7903) may be tuned to be more independent of location
on the surface, different than that of FIG. 76, given the curved
surface 7902 as exemplified in FIG. 77, although the viewable exit
cone of each effective light emission source on surface 7903 may be
less than the viewable exit cone of the energy source input on
surface 7902. This may be advantageous when considering a specific
energy surface that optimizes the viewed angles of light for wider
or more compressed density of available rays of light.
[0193] In another embodiment, variation in output angle may be
achieved by making the input energy surface 7902 convex in shape.
If such a change were made, the output cones of light near the edge
of the energy surface 7903 would turn in toward the center.
[0194] In some embodiments, the relay element device may include a
curved energy surface In one example, both the surfaces of the
relay element device may be planar. Alternatively, in other
examples, one surface may be planar and the other surface may be
non-planar, or vice versa. Finally, in another example, both the
surfaces of the relay element device may be non-planar. In other
embodiments, a non-planar surface may be a concave surface or a
convex surface, among other non-planar configurations For example,
both surfaces of the relay element may be concave. In the
alternative, both surfaces may be convex. In another example, one
surface may be concave and the other may be convex. It will be
understood by one skilled in the art that multiple configurations
of planar, non-planar, convex and concave surfaces are contemplated
and disclosed herein.
[0195] FIG. 78 illustrates an optical relay taper 8000 with a
non-perpendicular but planar surface 8002 on the energy source
side, in accordance with another embodiment of the present
disclosure To articulate the significant customizable variation in
the energy source side geometries, FIG. 78 illustrates the result
of simply creating a non-perpendicular but planar geometry for the
energy source side for comparison to FIG. 77 and to further
demonstrate the ability to directly control the input acceptance
cone angle and the output viewable emission cone angles of light 1,
2, 3 that are possible with any variation in surface
characteristics.
[0196] Depending on the application, it may also be possible to
design an energy relay configuration with the energy source side of
the relay remaining perpendicular to the optical axis that defines
the direction of light propagation within the relay, and the output
surface of the relay being non-perpendicular to the optical axis.
Other configurations may have both the input energy source side and
the energy output side exhibiting various non-perpendicular
geometric configurations. With this methodology, it may be possible
to further increase control over the input and output energy source
viewed angles of light.
[0197] In some embodiments, tapers may also be non-perpendicular to
the optical axis of the relay to optimize a particular view angle.
In one such embodiment a single taper such as the one shown in FIG.
76 may be cut into quadrants by cuts parallel with the optical
axis, with the large end and small end of the tapers cut into four
equal portions. These four quadrants and then re-assembled with
each taper quadrant rotated about the individual optical center
axis by 180 degrees to have the minified end of the taper facing
away from the center of the re-assembled quadrants thus optimizing
the field of view. In other embodiments, non-perpendicular tapers
may also be manufactured directly as well to provide increased
clearance between energy sources on the minified end without
increasing the size or scale of the physical magnified end. These
and other tapered configurations are disclosed herein
[0198] FIG. 79 illustrates the optical relay and light illumination
cones of FIG. 76 with a concave surface on the side of the energy
source. In this case, the cones of output light are significantly
more diverged near the edges of the output energy surface plane
than if the energy source side were flat, in comparison with FIG.
76.
[0199] FIG. 80 illustrates the optical taper relay 8200 and light
illumination cones of FIG. 79 with the same concave surface on the
side of the energy source. In this example, the output energy
surface 8202 has a convex geometry. Compared to FIG. 79, the cones
of output light on the concave output surface 8202 are more
collimated across the energy source surface due to the input
acceptances cones and the exit cone of light produced from this
geometric configuration. For the avoidance of doubt, the provided
examples are illustrative only and not intended to dictate explicit
surface characteristics, since any geometric configuration for the
input energy source side and the output energy surface may be
employed depending on the desired angle of view and density of
light for the output energy surface, and the angle of light
produced from the energy source itself.
[0200] In some embodiments, multiple relay elements may be
configured in series. In one embodiment, any two relay elements in
series may additionally be coupled together with intentionally
distorted parameters such that the inverse distortions from one
element in relation to another help optically mitigate any such
artifacts. In another embodiment, a first optical taper exhibits
optical barrel distortions, and a second optical taper may be
manufactured to exhibit the inverse of this artifact, to produce
optical pin cushion distortions, such than when aggregated
together, the resultant information either partially or completely
cancels any such optical distortions introduced by any one of the
two elements. This may additionally be applicable to any two or
more elements such that compound corrections may be applied in
series.
[0201] In some embodiments, it may be possible to manufacturer a
single energy source board, electronics, and/or the like to produce
an array of energy sources and the like in a small and/or
lightweight form factor. With this arrangement, it may be feasible
to further incorporate an optical relay mosaic such that the ends
of the optical relays align to the energy source active areas with
an extremely small form factor by comparison to individual
components and electronics. Using this technique, it may be
feasible to accommodate small form factor devices like monitors,
smart phones and the like
[0202] FIG. 81 illustrates an assembly 8300 of multiple optical
taper relay modules 8304, 8306, 8308, 8310, 8312 coupled together
with curved energy source side surfaces 8314, 8316, 8318, 8320,
8322, respectively, to form an optimal viewable image 8302 from a
plurality of perpendicular output energy surfaces of each taper, in
accordance with one embodiment of the present disclosure. In this
instance, the taper relay modules 8304, 8306, 8308, 8310, 8312 are
formed in parallel. Although only a single row of taper relay
modules is shown, in some embodiments, tapers with a stacked
configuration may also be coupled together in parallel and in a row
to form a contiguous, seamless viewable image 8302.
[0203] In FIG. 81, each taper relay module may operate
independently or be designed based upon an array of optical relays.
As shown in this figure, five modules with optical taper relays
8304, 8306, 8308, 8310, 8312 are aligned together producing a
larger optical taper output energy surface 8302. In this
configuration, the output energy surface 8302 may be perpendicular
to the optical axis of each relay, and each of the five energy
source sides 8314, 8316, 8318, 8320, 8322 may be deformed in a
circular contour about a center axis that may lie in front of the
output energy surface 8302, or behind this surface, allowing the
entire array to function as a single output energy surface rather
than as individual modules. It may additionally be possible to
optimize this assembly structure 8300 further by computing the
output viewed angle of light and determining the ideal surface
characteristics required for the energy source side geometry. FIG.
81 illustrates one such embodiment where multiple modules are
coupled together and the energy source side curvature accounts for
the larger output energy surface viewed angles of light. Although
five relay modules 8304, 8306, 8308, 8310, and 8312 are shown, it
will be appreciated by one skilled in the art that more or fewer
relay modules may be coupled together depending on the application,
and these may be coupled together in two dimensions to form an
arbitrarily large output energy surface 8302.
[0204] In one embodiment, the system of FIG. 81 includes a
plurality of relay elements 8304, 8306, 8308, 8310, 8312 arranged
across first and second directions (e g , across a row or in
stacked configuration), where each of the plurality of relay
elements extends along a longitudinal orientation between first and
second surfaces of the respective relay element. In some
embodiments, the first and second surfaces of each of the plurality
of relay elements extends generally along a transverse orientation
defined by the first and second directions, wherein the
longitudinal orientation is substantially normal to the transverse
orientation. In other embodiments, randomized refractive index
variability in the transverse orientation coupled with minimal
refractive index variation in the longitudinal orientation results
in energy waves having substantially higher transport efficiency
along the longitudinal orientation, and spatial localization along
the transverse orientation.
[0205] In one embodiment, the plurality of relay elements may be
arranged across the first direction or the second direction to form
a single tiled surface along the first direction or the second
direction, respectively. In some embodiments, the plurality of
relay elements are arranged in a matrix having at least a 2.times.2
configuration, or in other matrices including without limitation a
3.times.3 configuration, a 4.times.4 configuration, a 3.times.10
configuration, and other configurations as can be appreciated by
one skilled in the art. In other embodiments, seams between the
single tiled surface may be imperceptible at a viewing distance of
twice a minimum dimension of the single tiled surface.
[0206] In some embodiments, each of the plurality of relay elements
(e.g. 8304, 8306, 8308, 8310, 8312) have randomized refractive
index variability in the transverse orientation coupled with
minimal refractive index variation in the longitudinal orientation,
resulting in energy waves having substantially higher transport
efficiency along the longitudinal orientation, and spatial
localization along the transverse orientation. In some embodiments
where the relay is constructed of multicore fiber, the energy waves
propagating within each relay element may travel in the
longitudinal orientation determined by the alignment of fibers in
this orientation.
[0207] In other embodiments, each of the plurality of relay
elements (e.g. 8304, 8306, 8308, 8310, 8312) is configured to
transport energy along the longitudinal orientation, and wherein
the energy waves propagating through the plurality of relay
elements have higher transport efficiency in the longitudinal
orientation than in the transverse orientation due to the
randomized refractive index variability such that the energy is
localized in the transverse orientation. In some embodiments, the
energy waves propagating between the relay elements may travel
substantially parallel to the longitudinal orientation due to the
substantially higher transport efficiency in the longitudinal
orientation than in the transverse orientation. In other
embodiments, randomized refractive index variability in the
transverse orientation coupled with minimal refractive index
variation in the longitudinal orientation results in energy waves
having substantially higher transport efficiency along the
longitudinal orientation, and spatial localization along the
transverse orientation.
[0208] FIG. 82 illustrates an arrangement 8400 of multiple optical
taper relay modules coupled together with perpendicular energy
source side geometries 8404, 8406, 8408, 8410, and 8412, and a
convex energy source surface 8402 that is radial about a center
axis, in accordance with one embodiment of the present disclosure.
FIG. 82 illustrates a modification of the configuration shown in
FIG. 81, with perpendicular energy source side geometries and a
convex output energy surface that is radial about a center
axis.
[0209] FIG. 83 illustrates an arrangement 8500 of multiple optical
relay modules coupled together with perpendicular output energy
surface 8502 and a convex energy source side surface 8504 radial
about a center axis, in accordance with another embodiment of the
present disclosure.
[0210] In some embodiments, by configuring the source side of the
array of energy relays in a cylindrically curved shape about a
center radius, and having a flat energy output surface, the input
energy source acceptance angle and the output energy source
emission angles may be decoupled, and it may be possible to better
align each energy source module to the energy relay acceptance
cone, which may itself be limited due to constraints on parameters
such as energy taper relay magnification, NA, and other
factors.
[0211] FIG. 84 illustrates an arrangement 8600 of multiple energy
relay modules with each energy output surface independently
configured such that the viewable output rays of light, in
accordance with one embodiment of the present disclosure FIG. 84
illustrates the configuration similar to that of FIG. 83, but with
each energy relay output surface independently configured such that
the viewable output rays of light are emitted from the combined
output energy surface with a more uniform angle with respect to the
optical axis (or less depending on the exact geometries
employed).
[0212] FIG. 85 illustrates an arrangement 8700 of multiple optical
relay modules where both the emissive energy source side and the
energy relay output surface are configured with various geometries
producing explicit control over the input and output rays of light,
in accordance with one embodiment of the present disclosure. To
this end, FIG. 85 illustrates a configuration with five modules
where both the emissive energy source side and the relay output
surface are configured with curved geometries allowing greater
control over the input and output rays of light.
[0213] FIG. 86 illustrates an arrangement 8800 of multiple optical
relay modules whose individual output energy surfaces have been
ground to form a seamless concave cylindrical energy source surface
which surrounds the viewer, with the source ends of the relays flat
and each bonded to an energy source.
[0214] In the embodiment shown in FIG. 86, and similarly in the
embodiments shown in FIGS. 81, 82, 83, 84 and 85, a system may
include a plurality of energy relays arranged across first and
second directions, where in each of the relays, energy is
transported between first and second surfaces which defines the
longitudinal orientation, the first and second surfaces of each of
the relays extends generally along a transverse orientation defined
by the first and second directions, where the longitudinal
orientation is substantially normal to the transverse orientation.
Also in this embodiment, energy waves propagating through the
plurality of relays have higher transport efficiency in the
longitudinal orientation than in the transverse orientation due to
high refractive index variability in the transverse orientation
coupled with minimal refractive index variation in the longitudinal
orientation. In some embodiments where each relay is constructed of
multi core fiber, the energy waves propagating within each relay
element may travel in the longitudinal orientation determined by
the alignment of fibers in this orientation.
[0215] In one embodiment, similar to that discussed above, the
first and second surfaces of each of the plurality of relay
elements, in general, can curve along the transverse orientation
and the plurality of relay elements can be integrally formed across
the first and second directions. The plurality of relays can be
assembled across the first and second directions, arranged in a
matrix having at least a 2.times.2 configuration, and include
glass, optical fiber, optical film, plastic, polymer, or mixtures
thereof. In some embodiments, a system of a plurality of relays may
be arranged across the first direction or the second direction to
form a single tiled surface along the first direction or the second
direction, respectively. Like above, the plurality of relay
elements can be arranged in other matrices including without
limitation a 3.times.3 configuration, a 4.times.4 configuration, a
3.times.10 configuration, and other configurations as can be
appreciated by one skilled in the art. In other embodiments, seams
between the single tiled surface may be imperceptible at a viewing
distance of twice a minimum dimension of the single tiled
surface.
[0216] For a mosaic of energy relays, the following embodiments may
be included: both the first and second surfaces may be planar, one
of the first and second surfaces may be planar and the other
non-planar, or both the first and second surfaces may be
non-planar. In some embodiments, both the first and second surfaces
may be concave, one of the first and second surfaces may be concave
and the other convex, or both the first and second surfaces may be
convex. In other embodiments, at least one of the first and second
surfaces may be planar, non-planar, concave or convex. Surfaces
that are planar may be perpendicular to the longitudinal direction
of energy transport, or non-perpendicular to this optical axis.
[0217] In some embodiments, the plurality of relays can cause
spatial magnification or spatial de-magnification of energy
sources, including but not limited to electromagnetic waves, light
waves, acoustical waves, among other types of energy waves. In
other embodiments, the plurality of relays may also include a
plurality of energy relays (e.g., such as faceplates for energy
source), with the plurality of energy relays having different
widths, lengths, among other dimensions. In some embodiments, the
plurality of energy relays may also include loose coherent optical
relays or fibers.
Limitations of Anderson Localization Materials and Introduction of
Ordered Energy Localization
[0218] While the Anderson localization principle was introduced in
the 1950s, it wasn't until recent technological breakthroughs in
materials and processes allowed the principle to be explored
practically in optical transport. Transverse Anderson localization
is the propagation of a wave transported through a transversely
disordered but longitudinally invariant material without diffusion
of the wave in the transverse plane.
[0219] Transverse Anderson localization has been observed through
experimentation in which a fiber optic face plate is fabricated
through drawing millions of individual strands of fiber with
different refractive index (RI) that were mixed randomly and fused
together When an input beam is scanned across one of the surfaces
of the face plate, the output beam on the opposite surface follows
the transverse position of the input beam. Since Anderson
localization exhibits in disordered mediums an absence of diffusion
of waves, some of the fundamental physics are different when
compared to optical fiber relays. This implies that the Anderson
localization phenomena in the random mixture of optical fibers with
varying RI arises less by total internal reflection than by the
randomization between multiple-scattering paths where wave
interference can completely limit the propagation in the transverse
orientation while continuing in the longitudinal path Further to
this concept, it is introduced herein that a non-random pattern of
material wave propagation properties may be used in place of a
randomized distribution in the transverse plane of an energy
transport device. Such a non-random distribution may induce what is
referred to herein as Ordered Energy Localization in a transverse
plane of the device. This Ordered Energy Localization reduces the
occurrence of localized grouping of similar material properties,
which can arise due to the nature of random distributions, but
which act to degrade the overall efficacy of energy transport
through the device.
[0220] In an embodiment, it may be possible for Ordered Energy
Localization materials to transport light with a contrast as high
as, or better than, the highest quality commercially available
multimode glass image fibers, as measured by an optical modulation
transfer function (MTF). With multimode and multicore optical
fibers, the relayed images are intrinsically pixelated due to the
properties of total internal reflection of the discrete array of
cores, where the loss of image transfer in regions between cores
will reduce MTF and increase blurring. The resulting imagery
produced with multicore optical fiber tends to have a residual
fixed noise fiber pattern, as illustrated in FIG. 5A. By contrast,
the same relayed image through an example material sample that
exhibits Ordered Energy Localization, which is similar to that of
the Transverse Anderson Localization principle, where the noise
pattern appears much more like a grain structure than a fixed fiber
pattern
[0221] Another advantage to optical relays that exhibit the Ordered
Energy localization phenomena is that it they can be fabricated
from a polymer material, resulting in reduced cost and weight. A
similar optical-grade material, generally made of glass or other
similar materials, may cost more than a hundred times the cost of
the same dimension of material generated with polymers. Further,
the weight of the polymer relay optics can be 10-100 times less.
For the avoidance of doubt, any material that exhibits the Anderson
localization property, or the Ordered Energy Localization property
as described herein, may be included in this disclosure, even if it
does not meet the above cost and weight suggestions. As one skilled
in the art will understand that the above suggestion is a single
embodiment that lends itself to significant commercial viabilities
that similar glass products exclude. Of additional benefit is that
for Ordered Energy Localization to work, optical fiber cladding may
not be needed, which for traditional multicore fiber optics is
required to prevent the scatter of light between fibers, but
simultaneously blocks a portion of the rays of light and thus
reduces transmission by at least the core-to-clad ratio (e.g. a
core-to-clad ratio of 70:30 will transmit at best 70% of received
illumination) In certain embodiments, relaying energy through all
or most of the materials of a relay may improve the efficiency of
relaying energy through said material, since the need for extra
energy controlling materials may be reduced or eliminated.
[0222] Another benefit is the ability to produce many smaller parts
that can be bonded or fused without seams as the polymer material
is composed of repeating units, and the merger of any two pieces is
nearly the same as generating the component as a singular piece
depending on the process to merge the two or more pieces together
For large scale applications, this is a significant benefit for the
ability to manufacture without massive infrastructure or tooling
costs, and it provides the ability to generate single pieces of
material that would otherwise be impossible with other methods.
Traditional plastic optical fibers have some of these benefits, but
due to the cladding generally still involve a seam line of some
distances.
[0223] The present disclosure includes engineered structure
exhibiting the Ordered Energy Localization phenomena and the method
of manufacturing same. The engineered structure of the present
disclosure may be used to construct relays of electromagnetic
energy, acoustic energy, or other types of energy using building
blocks that may include one or more component engineered structures
("CES"). The term CES refers to a building block component with
specific engineered properties ("EP") that may include, but are not
limited to, material type, size, shape, refractive index,
center-of-mass, charge, weight, absorption, and magnetic moment,
among other properties. The size scale of the CES may be on the
order of wavelength of the energy wave being relayed, and can vary
across the milli-scale, the micro-scale, or the nano-scale. The
other EP's are also highly dependent on the wavelength of the
energy wave.
[0224] Within the scope of the present disclosure, a particular
arrangement of multiple CES may form a non-random pattern, which
may be repeated in the transverse direction across a relay to
effectively induce Ordered Energy Localization. A single instance
of such a non-random pattern of CES is referred to herein as a
module. A module may comprise two or more CES. A grouping of two or
more modules within a relay is referred to herein as a
structure.
[0225] Ordered Energy Localization is a general wave phenomenon
that applies to the transport of electromagnetic waves, acoustic
waves, quantum waves, energy waves, among others. The one or more
component engineered structures may form an energy wave relay that
exhibits Ordered Energy Localization each have a size that is on
the order of the corresponding wavelength. Another parameter for
the building blocks is the speed of the energy wave in the
materials used for those building blocks, which includes refractive
index for electromagnetic waves, and acoustic impedance for
acoustic waves. For example, the building block sizes and
refractive indices can vary to accommodate any frequency in the
electromagnetic spectrum, from X-rays to radio waves, or to
accommodate acoustic waves ranging from ultra-low frequencies just
above 0 Hz to ultrasonic frequencies of approximately 20 MHz
[0226] For this reason, discussions in this disclosure about
optical relays can be generalized to not only the full
electromagnetic spectrum, but to acoustical energy and other types
of energy. For this reason, the use of the terms energy source,
energy surface, and energy relay will be used in the present
disclosure, even if an embodiment may be discussed with respect to
one particular form of energy such as the visible electromagnetic
spectrum. One of ordinary skill in the art would understand the
principles of the present disclosure as discussed with respect to
one form of energy would apply the same for embodiments implemented
for other forms of energy.
[0227] For the avoidance of doubt, the material quantities,
process, types, refractive index, and the like are merely exemplary
and any optical material that exhibits the Ordered Energy
Localization property is included herein. Further, any use of
ordered materials and processes is included herein.
[0228] It should be noted that the principles of optical design
noted in this disclosure apply generally to all forms of energy
relays, and the design implementations chosen for specific
products, markets, form factors, mounting, etc may or may not need
to address these geometries but for the purposes of simplicity, any
approach disclosed is inclusive of all potential energy relay
materials.
[0229] In one embodiment, for the relay of visible electromagnetic
energy, the transverse size of the CES should be on the order of 1
micron. The materials used for the CES can be any optical material
that exhibits the optical qualities desired to include, but not
limited to, glass, plastic, resin, air pockets, and the like The
index of refraction of the materials used are higher than 1, and if
two CES types are chosen, the difference in refractive index
becomes a key design parameter. The aspect ratio of the material
may be chosen to be elongated, in order to assist wave propagation
in a longitudinal direction.
[0230] In embodiments, energy from other energy domains may be
relayed using one or more CES. For example, acoustic energy or
haptic energy, which may be mechanical vibrational forms of energy,
may be relayed. Appropriate CES may be chosen based on transport
efficiency in these alternate energy domains. For example, air may
be selected as a CES material type in relaying acoustic or haptic
energy. In embodiments, empty space or a vacuum may be selected as
a CES in order to relay certain forms of electromagnetic energy.
Furthermore, two different CES may share a common material type,
but may differ in another engineered property, such as shape.
[0231] The formation of a CES may be completed as a destructive
process that takes formed materials and cuts the pieces into a
desired shaped formation or any other method known in the art, or
additive, where the CES may be grown, printed, formed, melted, or
produced in any other method known in the art. Additive and
destructive processes may be combined for further control over
fabrication. These CES are constructed to a specified structure
size and shape.
[0232] In one embodiment, for electromagnetic energy relays, it may
be possible to use optical grade bonding agents, epoxies, or other
known optical materials that may start as a liquid and form an
optical grade solid structure through various means including but
not limited to LTV, heat, time, among other processing parameters.
In another embodiment, the bonding agent is not cured or is made of
index matching oils for flexible applications. Bonding agent may be
applied to solid structures and non-curing oils or optical liquids.
These materials may exhibit certain refractive index (RI)
properties. The bonding agent needs to match the RI of either CES
material type 1 or CES material type 2. In one embodiment, the RI
of this optical bonding agent is 1.59, the same as PS
(polystyrene). In a second embodiment, the RI of this optical
bonding agent is 1.49, the same as PMMA (poly methyl
methcacrylate). In another embodiment, the RI of this optical
bonding agent is 1.64, the same as a thermoplastic polyester (TP)
material.
[0233] In one embodiment, for energy waves, the bonding agent may
be mixed into a blend of CES material type I and CES material type
2 in order to effectively cancel out the RI of the material that
the bonding agent RI matches. The bonding agent may be thoroughly
intermixed, with enough time given to achieve escape of air voids,
desired distributions of materials, and development of viscous
properties. Additional constant agitation may be implemented to
ensure the appropriate mixture of the materials to counteract any
separation that may occur due to various densities of materials or
other material properties.
[0234] It may be required to perform this process in a vacuum or in
a chamber to evacuate any air bubbles that may form. An additional
methodology may be to introduce vibration during the curing
process.
[0235] An alternate method provides for three or more CES with
additional form characteristics and EPs.
[0236] In one embodiment, for electromagnetic energy relays, an
additional method provides for only a single CES to be used with
only the bonding agent, where the RI of the CES and the bonding
agent differ.
[0237] An additional method provides for any number of CESs and
includes the intentional introduction of air bubbles.
[0238] In one embodiment, for electromagnetic energy relays, a
method provides for multiple bonding agents with independent
desired RIs, and a process to intermix the zero, one, or more CES's
as they cure either separately or together to allow for the
formation of a completely intermixed structure. Two or more
separate curing methodologies may be leveraged to allow for the
ability to cure and intermix at different intervals with different
tooling and procedural methodologies. In one embodiment, a UV cure
epoxy with a RI of 1.49 is intermixed with a heat cure second epoxy
with a RI of 1.59 where constant agitation of the materials is
provisioned with alternating heat and UV treatments with only
sufficient duration to begin to see the formation of solid
structures from within the larger mixture, but not long enough for
any large particles to form, until such time that no agitation can
be continued once the curing process has nearly completed,
whereupon the curing processes are implemented simultaneously to
completely bond the materials together. In a second embodiment, CES
with a RI of 1.49 are added. In a third embodiment, CES with both a
RI of 1.49 and 1.5'9 both added.
[0239] In another embodiment, for electromagnetic energy relays,
glass and plastic materials are intermixed based upon their
respective RI properties.
[0240] In an additional embodiment, the cured mixture is formed in
a mold and after curing is cut and polished In another embodiment,
the materials leveraged will re-liquefy with heat and are cured in
a first shape and then pulled into a second shape to include, but
not limited to, tapers or bends.
[0241] It should be appreciated that there exist a number of
well-known conventional methods used to weld polymeric materials
together. Many of these techniques are described in ISO 472
("Plastics-Vocabulary", International Organization for
Standardization, Switzerland 1999) which is herein incorporated by
reference in its entirety, and which describes processes for
uniting softened surfaces of material including thermal, mechanical
(e.g. vibration welding, ultrasonic welding, etc.),
electromagnetic, and chemical (solvent) welding methods
[0242] FIG. 7A illustrates a cutaway view of a flexible relay 70
exhibiting the Transverse Anderson Localization approach using CES
material type 1 (72) and CES material type 2 (74) with intermixing
oil or liquid 76 and with the possible use of end cap relays 79 to
relay the energy waves from a first surface 77 to a second surface
77 on either end of the relay within a flexible tubing enclosure 78
in accordance with one embodiment of the present disclosure The CES
material type 1 (72) and CES material type 2 (74) both have the
engineered property of being elongated--in this embodiment, the
shape is elliptical, but any other elongated or engineered shape
such as cylindrical or stranded is also possible. The elongated
shape allows for channels of minimum engineered property variation
75.
[0243] For an embodiment for visible electromagnetic energy relays,
relay 70 may have the bonding agent replaced with a refractive
index matching oil 76 with a refractive index that matches CES
material type 2 (74) and placed into the flexible tubing enclosure
78 to maintain flexibility of the mixture of CES material type 1
and CES material 2, and the end caps 79 would be solid optical
relays to ensure that an image can be relayed from one surface of
an end cap to the other. The elongated shape of the CES materials
allows channels of minimum refractive index variation 75.
[0244] Multiple instances of relay 70 can be interlaced into a
single surface in order to form a relay combiner in solid or
flexible form.
[0245] In one embodiment, for visible electromagnetic energy
relays, several instances of relay 70 may each be connected on one
end to a display device showing only one of many specific tiles of
an image, with the other end of the optical relay placed in a
regular mosaic, arranged in such a way to display the full image
with no noticeable seams. Due to the properties of the CES
materials, it is additionally possible to fuse the multiple optical
relays within the mosaic together
[0246] FIG. 7B illustrates a cutaway view of a rigid implementation
750 of a CES Transverse Anderson Localization energy relay. CES
material type 1 (72) and CES material type 2 (74) are intermixed
with bonding agent 753 which matches the index of refraction of
material 2 (74). It is possible to use optional relay end caps 79
to relay the energy wave from the first surface 77 to a second
surface 77 within the enclosure 754 The CES material type 1 (72)
and CES material type 2 (74) both have the engineered property of
being elongated--in this embodiment, the shape is elliptical, but
any other elongated or engineered shape such as cylindrical or
stranded is also possible. Also shown in FIG. 7B is a path of
minimum engineered property variation 75 along the longitudinal
direction 751, which assists the energy wave propagation in this
direction 751 from one end cap surface 77 to the other end cap
surface 77.
[0247] The initial configuration and alignment of the CESs can be
done with mechanical placement, or by exploiting the EP of the
materials, including but not limited to: electric charge, which
when applied to a colloid of CESs in a liquid can result in
colloidal crystal formation; magnetic moments which can help order
CESs containing trace amounts of ferromagnetic materials, or
relative weight of the CESs used, which with gravity helps to
create layers within the bonding liquid prior to curing.
[0248] In one embodiment, for electromagnetic energy relays, the
implementation depicted in FIG. 7B may have the bonding agent 753
matching the index of refraction of CES material type 2 (74), the
optional end caps 79 may be solid optical relays to ensure that an
image can be relayed from one surface of an end cap to the other,
and the EP with minimal longitudinal variation may be refractive
index, creating channels 75 which would assist the propagation of
localized electromagnetic waves.
[0249] In an embodiment for visible electromagnetic energy relays,
FIG. 8 illustrates a cutaway view in the transverse plane the
inclusion of a DEMA (dimensional extra mural absorption) CES, 80,
along with CES material types 74, 82 in the longitudinal direction
of one exemplary material at a given percentage of the overall
mixture of the material, which controls stray light, in accordance
with one embodiment of the present disclosure for visible
electromagnetic energy relays.
[0250] The additional CES materials that do not transmit light are
added to the mixture(s) to absorb random stray light, similar to
EMA in traditional optical fiber technologies, except that the
distribution of the absorbing materials may be random in all three
dimensions, as opposed to being invariant in the longitudinal
dimension. Herein this material is called DEMA, 80. Leveraging this
approach in the third dimension provides far more control than
previous methods of implementation. Using DEMA, the stray light
control is much more fully randomized than any other
implementation, including those that include a stranded EMA that
ultimately reduces overall light transmission by the fraction of
the area of the surface of all the optical relay components it
occupies. In contrast, DEMA is intermixed throughout the relay
material, absorbing stray light without the same reduction of light
transmission. The DEMA can be provided in any ratio of the overall
mixture. In one embodiment, the DEMA is 1% of the overall mixture
of the material. In a second embodiment, the DEMA is 10% of the
overall mixture of the material.
[0251] In an additional embodiment, the two or more materials are
treated with heat and/or pressure to perform the bonding process
and this may or may not be completed with a mold or other similar
forming process known in the art. This may or may not be applied
within a vacuum or a vibration stage or the like to eliminate air
bubbles during the melt process. For example, CES with material
type polystyrene (PS) and polymethylmethacrylate (PMMA) may be
intermixed and then placed into an appropriate mold that is placed
into a uniform heat distribution environment capable of reaching
the melting point of both materials and cycled to and from the
respective temperature without causing damage/fractures due to
exceeding the maximum heat elevation or declination per hour as
dictated by the material properties
[0252] For processes that require intermixing materials with
additional liquid bonding agents, in consideration of the variable
specific densities of each material, a process of constant rotation
at a rate that prevents separation of the materials may be
required.
Differentiating Anderson and Ordered Energy Relay Materials
[0253] FIG. 9 illustrates a cutaway view in the transverse plane of
a portion 900 of a pre-fused energy relay comprising a randomized
distribution of particles comprising two component materials,
component engineered structure ("CES") 902 and CES 904. In an
embodiment, particles comprising either CES 902 or CES 904 may
possess different material properties, such as different refractive
indices, and may induce an Anderson Localization effect in energy
transported therethrough, localizing energy in the transverse plane
of the material. In an embodiment, particles comprising either CES
902 or CES 904 may extend into and out of the plane of the
illustration in a longitudinal direction, thereby allowing energy
propagation along the longitudinal direction with decreased
scattering effects compared to traditional optical fiber energy
relays due to the localization of energy in the transverse plane of
the material.
[0254] FIG. 10 illustrates a cutaway view in the transverse plane
of module 1000 of a pre-fused energy relay comprising a non-random
pattern of particles, each particle comprising one of three
component materials, CES 1002, CES 1004, or CES 1006. Particles
comprising one of CES's 1002, 1004, or 1006 may possess different
material properties, such as different refractive indices, which
may induce an energy localization effect in the transverse plane of
the module. The pattern of particles comprising one of CES's 1002,
1004, or 1006 may be contained within a module boundary 1008, which
defines the particular pattern that particles comprising one of
CES's 1002, 1004, or 1006 are arranged in. Similar to FIG. 9,
particles comprising one of CES's 1002, 1004, or 1006 may extend in
a longitudinal direction into and out of the plane of the
illustration to allow energy propagation along the longitudinal
direction with decreased scattering effects compared to traditional
optical fiber energy relays due to the localization of energy in
the transverse plane of the material.
[0255] Particles comprising one of CES's 902 or 904 from FIG. 9 and
particles comprising one of CES's 1002, 1004, or 1006 from FIG. 10
may be long, thin rods of respective material which extend in a
longitudinal direction normal to the plane of the illustration and
are arranged in the particular patterns shown in FIG. 9 and FIG. 10
respectively. Although small gaps may exist between individual
particles of CES due to the circular cross-sectional shape of the
particles shown in FIG. 9 and FIG. 10, these gaps would effectively
be eliminated upon fusing, as the CES materials would gain some
fluidity during the fusing process and "melt" together to fill in
any gaps. While the cross-sectional shapes illustrated in FIG. 9
and FIG. 10 are circular, this should not be considered limiting of
the scope of this disclosure, and one skilled in the art should
recognize that any shape or geometry of pre-fused material may be
utilized in accordance with the principles disclosed herein. For
example, in an embodiment, the individual particles of CES have a
hexagonal rather than circular cross section, which may allow for
smaller gaps between particles prior to fusing.
[0256] FIG. 11 illustrates a cutaway view in the transverse plane
of a portion 1100 of a pre fused energy relay comprising a random
distribution of particles comprising component materials CES 1102
and CES 1104. The portion 1100 may have a plurality of
sub-portions, such as sub-portions 1106 and 1108 each comprising a
randomized distribution of particles comprising CES 1102 and 1104.
The random distribution of particles comprising CES 1102 and CES
1104 may, after fusing of the relay, induce a Transverse Anderson
Localization effect in energy relayed in a longitudinal direction
extending out of the plane of the illustration through portion
1100.
[0257] FIG. 13 illustrates a cutaway view in the transverse plane
of a portion 1300 of a fused energy relay comprising a random
distribution of particles comprising component materials CES 1302
and CES 1304. Portion 1300 may represent a possible fused form of
portion 1100 from FIG. 11 In the context of the present disclosure,
when adjacent particles of similar CES aggregate together upon
fusing, this is referred to as an aggregated particle ("AP"). An
example of an AP of CES 1302 can be seen at 1308, which may
represent the fused form of several unfused CES 1302 particles
(shown in FIG. 11). As illustrated in FIG. 13, the boundaries
between each continuous particle of similar CES, as well as the
boundaries between modules with similar CES border particles, are
eliminated upon fusing, while new boundaries are formed between
AP's of different CES.
[0258] According to the Anderson Localization principle, a
randomized distribution of materials with different energy wave
propagation properties distributed in the transverse direction of a
material will localize energy within that direction, inhibiting
energy scattering and reducing interference which may degrade the
transport efficiency of the material. In the context of
transporting electromagnetic energy, for example, through
increasing the amount of variance in refractive index in the
transverse direction by randomly distributing materials with
differing refractive indices, it becomes possible to localize the
electromagnetic energy in the transverse direction.
[0259] However, as discussed previously, due to the nature of
randomized distributions, there exists the possibility that
undesirable arrangements of materials may inadvertently form, which
may limit the realization of energy localization effects within the
material. For example, AP 1306 of FIG. 13 could potentially form
after fusing the randomized distribution of particles shown in the
corresponding location in FIG. 11. When designing a material for
transporting electromagnetic energy, for example, a design
consideration is the transverse size of pre-fused particles of CES.
In order to prevent energy from scattering in the transverse
direction, one may select a particle size such that upon fusing,
the resultant average AP size is substantially on the order of the
wavelength of the electromagnetic energy the material is intended
to transport However, while the average AP size can be designed
for, one skilled in the art would recognize that a random
distribution of particles will result in a variety of unpredictable
sizes of AP, some being smaller than the intended wavelength and
some being larger than the intended wavelength.
[0260] In FIG. 13, AP 1306 extends across the entire length of
portion 1300 and represents an AP of a size much larger than
average. This may imply that the size of AP 1306 is also much
larger than the wavelength of energy that portion 1300 is intended
to transport in the longitudinal direction. Consequently, energy
propagation through AP 1306 in the longitudinal direction may
experience scattering effects in the transverse plane, reducing the
Anderson Localization effect and resulting in interference patterns
within energy propagating through AP 1306 and a reduction in the
overall energy transport efficiency of portion 1300.
[0261] It should be understood that, according to the principles
disclosed herein and due to the nature of randomized distributions,
a sub-portion within portion 1100, such as sub-portion 1108 for
example, may be of arbitrary significance, since there is no
defined distribution pattern. However, it should be apparent to one
skilled in the art that in a given randomized distribution, there
exists the possibility that one may identify distinct sub-portions
that comprise the same or substantially similar patterns of
distribution. This occurrence may not significantly inhibit the
overall induced Transverse Anderson Localization effect, and the
random patterns described herein should not be seen as limited to
exclude such cases.
[0262] The non-random, Ordered Energy Localization pattern design
considerations disclosed herein represent an alternative to a
randomized distribution of component materials, allowing energy
relay materials to exhibit energy localization effects in the
transverse direction while avoiding the potentially limiting
deviant cases inherent to randomized distributions.
[0263] It should be noted that across different fields and
throughout many disciplines, the concept of "randomness," and
indeed the notions of what is and is not random are not always
clear. There are several important points to consider in the
context of the present disclosure when discussing random and
non-random patterns, arrangements, distributions, et cetera, which
are discussed below. However, it should be appreciated that the
disclosures herein are by no means the only way to conceptualize
and/or systematize the concepts of randomness or non-randomness.
Many alternate and equally valid conceptualizations exist, and the
scope of the present disclosure should not be seen as limited to
exclude any approach contemplated by one skilled in the art in the
present context.
[0264] Complete spatial randomness ("CSR"), which is well-known in
the art and is described in Smith, T. E., (2016) Notebook on
Spatial Data Analysis [online]
(http://www.seas.upenn.edu/.about.ese502/#notebook), which is
herein incorporated by reference, is a concept used to describe a
distribution of points within a space (in this case, within a 2D
plane) which are located in a completely random fashion. There are
two common characteristics used to describe CSR: The spatial
Laplace principle, and the assumption of statistical
independence.
[0265] The spatial Laplace principle, which is an application of
the more general Laplace principle to the domain of spatial
probability, essentially states that, unless there is information
to indicate otherwise, the chance of a particular event, which may
be thought of as the chance of a point being located in a
particular location, is equally as likely for each location within
a space. That is to say, each location within a region has an equal
likelihood of containing a point, and therefore, the probability of
finding a point is the same across each location within the region.
A further implication of this is that the probability of finding a
point within a particular sub-region is proportional to the ratio
of the area of that sub-region to the area of the entire reference
region.
[0266] A second characteristic of CSR is the assumption of spatial
independence. This principle assumes that the locations of other
data points within a region have no influence or effect on the
probability of finding a data point at a particular location. In
other words, the data points are assumed to be independent of one
another, and the state of the "surrounding areas", so to speak, do
not affect the probability of finding a data point at a location
within a reference region.
[0267] The concept of CSR is useful as a contrasting example of a
non-random pattern of materials, such as some embodiments of CES
materials described herein. An Anderson material is described
elsewhere in this disclosure as being a random distribution of
energy propagation materials in a transverse plane of an energy
relay. Keeping in mind the CSR characteristics described above, it
is possible to apply these concepts to some of the embodiments of
the Anderson materials described herein in order to determine
whether the "randomness" of those Anderson material distributions
complies with CSR. Assuming embodiments of an energy relay
comprising first and second materials, since a CES of either the
first or second material may occupy roughly the same area in the
transverse plane of the embodiments (meaning they are roughly the
same size in the transverse dimension), and further since the first
and second CES may be assumed to be provided in equal amounts in
the embodiments, we can assume that for any particular location
along the transverse plane of the energy relay embodiments, there
is an equally likely chance of there being either a first CES or a
second CES, in accordance with spatial Laplace principle as applied
in this context. Alternatively, if the relay materials are provided
in differing amounts in other energy relay embodiments, or possess
a differing transverse size from one another, we would likewise
expect that the probability of finding either material be in
proportion to the ratio of materials provided or to their relative
sizes, in keeping with the spatial Laplace principle.
[0268] Next, because both the first and second materials of
Anderson energy relay embodiments are arranged in a random manner
(either by thorough mechanical mixing, or other means), and further
evidenced by the fact that the "arrangement" of the materials may
occur simultaneously and arise spontaneously as they are
randomized, we can assert that the identities of neighboring CES
materials will have substantially no effect on the identity of a
particular CES material, and vice versa, for these embodiments.
That is, the identities of CES materials within these embodiments
are independent of one another. Therefore, the Anderson material
embodiments described herein may be said to satisfy the described
CSR characteristics. Of course, as discussed above, the nature of
external factors and "real-world" confounding, factors may affect
the compliance of embodiments of Anderson energy relay materials
with strict CSR definitions, but one of ordinary skill in the art
would appreciate that these Anderson material embodiments
substantially fall within reasonable tolerance of such
definitions.
[0269] By contrast, an analysis of some of the Ordered Energy
Localization relay material embodiments as disclosed herein
highlights particular departures from their counterpart Anderson
material embodiments (and from CSR). Unlike an Anderson material, a
CES material identity within an Ordered Energy Localization relay
embodiment may be highly correlated with the identities of its
neighbors. The very pattern of the arrangement of CES materials
within certain Ordered Energy Localization relay embodiments is
designed to, among other things, influence how similar materials
are arranged spatially relative to one another in order to control
the effective size of the APs formed by such materials upon fusing
In other words, one of the goals of some embodiments which arrange
materials in an Ordered Energy Localization distribution is to
affect the ultimate cross-sectional area (or size), in the
transverse dimension, of any region comprising a single material
(an AP). This may limit the effects of transverse energy scattering
and interference within said regions as energy is relayed along a
longitudinal direction. Therefore, some degree of specificity
and/or selectivity is exercised when energy relay materials are
first "arranged" in an Ordered Energy Localization distribution
embodiment, which may disallow for a particular CES identity to be
"independent" of the identity of other CES, particularly those
materials immediately surrounding it. On the contrary, in certain
embodiments materials are specifically chosen according to a
non-random pattern, with the identity of any one particular CES
being determined based on a continuation of the pattern and in
knowing what portion of the pattern (and thus, what materials) are
already arranged. It follows that these certain Ordered Energy
Localization distribution energy relay embodiments cannot comply
with CSR criteria. Thus, the pattern or arrangement of two or more
CES or energy relay materials may be described in the present
disclosure as "non-random" or "substantially non-random," and one
of ordinary skill in the art should appreciate that the general
concept or characteristics of CSR as describe above may be
considered, among other things, to distinguish non-random or
substantially non-random pattern from random pattern For example,
in an embodiment, materials that do not substantially comply with
the general concept or characteristics of CSR as described, may be
considered an Ordered Energy Localization material distribution. In
this disclosure, the term `ordered` may be recited to describe a
distribution of component engineered structure materials for relays
that transmits energy through the principle of Ordered Energy
Localization. The term `ordered energy relay`, `ordered relay`,
`ordered distribution`, `non-random pattern`, etc., describe an
energy relay in which energy is transmitted at least partially
through this same principle of Ordered Energy Localization
described herein.
[0270] Of course, the CSR concept is provided herein as an example
guideline to consider, and one of ordinary skill in the art may
consider other principles known in the art to distinguish
non-random patterns from random patterns. For example, it is to be
appreciated that, like a human signature, a non-random pattern may
be considered as a non-random signal that includes noise.
Non-random patterns may be substantially the same even when they
are not identical due to the inclusion of noise. A plethora of
conventional techniques exist in the art of pattern recognition and
comparison that may be used to separate noise and non-random
signals and correlate the latter. By way of example, U.S. Pat. No.
7,016,516 to Rhoades, which is incorporated by reference herein,
describes a method of identifying randomness (noise, smoothness,
snowiness, etc.), and correlating non-random signals to determine
whether signatures are authentic. Rhodes notes that computation of
a signal's randomness is well understood by artisans in this field,
and one example technique is to take the derivative of the signal
at each sample point, square these values, and then sum over the
entire signal. Rhodes further notes that a variety of other
well-known techniques can alternatively be used. Conventional
pattern recognition filters and algorithms may be used to identify
the same non-random patterns. Examples are provided in U.S. Pat.
Nos. 5,465,308 and 7,054,850, all of which are incorporated by
reference herein. Other techniques of pattern recognition and
comparison will not be repeated here, but it is to be appreciated
that one of ordinary skill in the art would easily apply existing
techniques to determine whether an energy relay comprises a
plurality of repeating modules each comprising at least first and
second materials being arranged in a substantially non-random
pattern, are in fact comprising the same substantially non-random
pattern
[0271] Furthermore, in view of the above-mentioned points regarding
randomness and noise, it should be appreciated that an arrangement
of materials into a substantially non-random pattern may, due to
unintentional factors such as mechanical inaccuracy or
manufacturing variability, suffer from a distortion of the intended
pattern. An example of such a distortion is illustrated in FIG.
20B, where a boundary 2005 between two different materials is
affected by the fusing process such that it has a unique shape not
originally part of the non-random arrangement of materials
illustrated in FIG. 20A. It would be apparent to one skilled in the
art, however, that such distortions to a non-random pattern are
largely unavoidable and are intrinsic to the nature of the
mechanical arts, and that the non-random arrangement of materials
shown in FIG. 20A is still substantially maintained in the fused
embodiment shown in FIG. 20B, despite mechanical distortions to the
boundaries of said materials. Thus, when considering an arrangement
of materials, it is within the capabilities of one such skilled in
the art to distinguish a distorted portion of a pattern from an
undistorted portion, just as one would identify two signatures as
belonging to the same person despite their unique differences.
[0272] FIG. 12A illustrates a cutaway view in the transverse plane
of a portion 1200 of a pre fused energy relay comprising a
non-random pattern (a distribution configured to relay energy via
Ordered Energy Localization) of three component materials CES 1202,
CES 1204, or CES 1206, which define multiple modules with similar
orientations. Particles of these three CES materials are arranged
in repeating modules, such as module 1208 and module 1210, which
share substantially invariant distributions of said particles While
portion 1200 contains six modules as illustrated in FIG. 12A, the
number of modules in a given energy relay can be any number and may
be chosen based on the desired design parameters. Additionally, the
size of the modules, the number of particles per module, the size
of the individual particles within a module, the distribution
pattern of particles within a module, the number of different types
of modules, and the inclusion of extra-modular or interstitial
materials may all be design parameters to be given consideration
and fall within the scope of the present disclosure.
[0273] Similarly, the number of different CES's included within
each module need not be three as illustrated in FIG. 12A, but may
preferably be any number suited to the desired design parameters.
Furthermore, the different characteristic properties possessed by
each CES may be variable in order to satisfy the desired design
parameters, and differences should not be limited only to
refractive index. For example, two different CES's may possess
substantially the same refractive index, but may differ in their
melting point temperatures
[0274] In order to minimize the scattering of energy transported
through the portion 1200 of the energy relay illustrated in FIG.
12A, and to promote transverse energy localization, the non-random
pattern of the modules that comprise portion 1200 may satisfy the
Ordered Energy Localization distribution characteristics described
above. In the context of the present disclosure, contiguous
particles may be particles that are substantially adjacent to one
another in the transverse plane. The particles may be illustrated
to be touching one another, or there may be an empty space
illustrated between the adjacent particles One skilled in the art
will appreciate that small gaps between adjacent illustrated
particles are either inadvertent artistic artifacts or are meant to
illustrate the minute mechanical variations which can arise in
real-world arrangement of materials. Furthermore, this disclosure
also includes arrangements of CES particles in substantially
non-random patterns, but contain exceptions due to manufacturing
variations or intentional variation by design.
[0275] Ordered Energy Localization patterns of CES particles may
allow for greater localization of energy, and reduce scattering of
energy in a transverse direction through a relay material, and
consequently allow for higher efficiency of energy transport
through the material relative to other embodiments. FIG. 12B
illustrates a cutaway view in the transverse plane of a portion
1250 of a pre-fused energy relay comprising a non-random pattern of
particles of three component materials, CES 1202, CES 1204, and CES
1206, wherein the particles define multiple modules with varying
orientations. Modules 1258 and 1260 of portion 1250 comprise a
non-random pattern of materials similar to that of modules 1208 and
1210 of FIG. 12A However, the pattern of materials in module 1260
are rotated relative to that of module 1258. Several other modules
of portion 1250 also exhibit a rotated pattern of distribution. It
is important to note that despite this rotational arrangement, each
module within portion 1250 possesses the Ordered Energy
Localization distribution described above, since the actual pattern
of particle distribution within each module remains the same
regardless of how much rotation is imposed upon it.
[0276] FIG. 14 illustrates a cutaway view in the transverse plane
of a portion 1400 of a fused energy relay comprising a non-random
pattern of particles of three component materials, CES 1402, CES
1404, and CES 1406 Portion 1400 may represent a possible fused form
of portion 1200 from FIG. 12A. By arranging CES particles in an
Ordered Energy Localization distribution, the relay shown in FIG.
14 may realize more efficient transportation of energy in a
longitudinal direction through the relay relative to the randomized
distribution shown in FIG. 13. By selecting CES particles with a
diameter roughly 1/2 of the wavelength of energy to be transported
through the material and arranging them in a pre-fuse Ordered
Energy Localization distribution shown in FIG. 12A, the size of the
resultant AP's after fusing seen in FIG. 14 may have a transverse
dimension between 1/2 and 2 times the wavelength of intended
energy. By substantially limiting transverse AP dimensions to
within this range, energy transported in a longitudinal direction
through the material may allow for Ordered Energy Localization and
reduce scattering and interference effects In an embodiment, a
transverse dimension of AP's in a relay material may preferably be
between 1/4 and 8 times the wavelength of energy intended to be
transported in a longitudinal direction through the APs.
[0277] As seen in FIG. 14, and in contrast with FIG. 13, there is
notable consistency of size across all APs, which may result from
exerting control over how pre-fused CES particles are arranged.
Specifically, controlling the pattern of particle arrangement may
reduce or eliminate the formation of larger AP's with larger energy
scattering, and interference patterns, representing, an improvement
over randomized distributions of CES particles in energy
relays.
[0278] FIG. 15 illustrates a cross-sectional view of a portion 1500
of an energy relay comprising a randomized distribution of two
different CES materials, CES 1502 and CES 1504. Portion 1500 is
designed to transport energy longitudinally along the vertical axis
of the illustration, and comprises a number of AP's distributed
along the horizontal axis of the illustration in a transverse
direction. AP 1510 may represent an average AP size of all the AP's
in portion 1500 As a result of randomizing the distribution of CES
particles prior to fusing of portion 1500, the individual AP's that
make up portion 1500 may substantially deviate from the average
size shown by 1510. For example, AP 1508 is wider than AP 1510 in
the transverse direction by a significant amount. Consequently,
energy transported through AP's 1510 and 1508 in the longitudinal
direction may experience noticeably different localization effects,
as well as differing amounts of wave scattering and interference.
As a result, upon reaching its relayed destination, any energy
transported through portion 1500 may exhibit differing levels of
coherence, or varying intensity across the transverse axis relative
to its original state when entering portion 1500. Having energy
emerge from a relay that is in a significantly different state than
when it entered said relay may be undesirable for certain
applications such as image light transport
[0279] Additionally, AP 1506 shown in FIG. 15 may be substantially
smaller in the transverse direction than average-sized AP 1510. As
a result, the transverse width of AP 1506 may be too small for
energy of a certain desired energy wavelength domain to effectively
propagate through, causing degradation of said energy and
negatively affecting the performance of portion 1500 in relaying
said energy.
[0280] FIG. 16 illustrates a cross-sectional view of a portion 1600
of an energy relay comprising a non-random pattern of three
different CES materials, CES 1602, CES 1604, and CES 1606. Portion
1600 is designed to transport energy longitudinally along the
vertical axis of the illustration, and comprises a number of AP's
distributed along the horizontal axis of the illustration in a
transverse direction. AP 1610, comprising CES 1604, and AP 1608,
comprising CES 1602, may both have substantially the same size in
the transverse direction. All other AP's within portion 1600 may
also substantially share a similar AP size in the transverse
direction. As a result, energy being transported longitudinally
through portion 1600 may experience substantially uniform,
localization effects across the transverse axis of portion 1600,
and suffer reduced scattering and interference effects. By
maintaining a consistent AP width in the transverse dimension,
energy which enters portion 1600 will be relayed and affected
equally regardless of where along the transverse direction it
enters portion 1600. This may represent an improvement of energy
transport over the randomized distribution demonstrated in FIG. 15
for certain applications such as image light transport
[0281] FIG. 17 illustrates a cross-sectional perspective view of a
portion 1700 of an energy relay comprising a randomized
distribution of aggregated particles comprising component materials
CES 1702 and 1704. In FIG. 17, input energy 1706 is provided for
transport through portion 1700 in a longitudinal direction (y-axis)
through the relay, corresponding with the vertical direction in the
illustration as indicated by the arrows representing energy 1706,
The energy 1706 is accepted into portion 1700 at side 1710 and
emerges from portion 1700 at side 1712 as energy 1708 Energy 1708
is illustrated as having varying sizes and pattern of arrow's which
are intended to illustrate that energy 1708 has undergone
non-uniform transformation as it was transported through portion
1700, and different portions of energy 1708 differ from initial
input energy 1706 by varying amounts in magnitude and localization
in the transverse directions (x axis) perpendicular to the
longitudinal energy direction 1706.
[0282] As illustrated in FIG. 17, there may exist an AP, such as AP
1714, that possesses a transverse size that is too small, or
otherwise unsuited, for a desired energy wavelength to effectively
propagate from side 1710 through to side 1712. Similarly, an AP
such as AP 1716 may exist that is too large, or otherwise unsuited,
for a desired energy wavelength to effectively propagate from side
1710 through to side 1712. The combined effect of this variation in
energy propagation properties across portion 1700, which may be a
result of the randomized distribution of CES particles used to faun
portion 1700, may limit the efficacy and usefulness of portion 1700
as an energy relay material.
[0283] FIG. 18 illustrates a cross-sectional perspective view of a
portion 1800 of an energy relay comprising a non-random pattern of
aggregated particles of three component materials, CES 1802, CES
1804, and CBS 1806. In FIG. 18, input energy 1808 is provided for
transport through portion 1800 in a longitudinal direction through
the relay, corresponding with the vertical direction in the
illustration as indicated by the arrows representing energy 1808
The energy 1808 is accepted into portion 1800 at side 1812 and is
relayed to and emerges from side 1814 as energy 1810. As
illustrated in FIG. 18, output energy 1810 may have substantially
uniform properties across the transverse direction of portion 1800.
Furthermore, input energy 1808 and output energy 1810 may share
substantially invariant properties, such as wavelength, intensity,
resolution, or any other wave propagation properties. This may be
due to the uniform size and distribution of AP's along the
transverse direction of portion 1800, allowing energy at each point
along the transverse direction to propagate through portion 1800 in
a commonly affected manner, which may help limit any variance
across emergent energy 1810, and between input, energy 1808 and
emergent energy 1810.
Ordered Energy Relay Material Design Considerations
[0284] FIG. 19 illustrates a cutaway view in the transverse plane
of a portion 1900 of a pre-fused energy relay comprising a
non-random pattern of particles arranged in one of two module
structures, module structure 1908, composed of CES 1902, CES 1904,
and CES 1906, or module structure 1912, composed of CES 1910, CES
1914, and CES 1916 Including two different module structures in
portion 1900, may further allow for control over the propagation of
energy waves longitudinally through portion 1900. For example, CES
1910 may be an energy absorbing material, or otherwise act to
inhibit the propagation of energy, referred to herein as an energy
inhibiting material. In various embodiments, energy inhibiting
materials may inhibit energy propagation via absorption,
reflection, scattering, interference, or any other means known in
the art. By including a material with these properties periodically
throughout the non-random pattern of CES particles in portion 1900,
the energy wave propagation properties of portion 1900 may be
manipulated for a desired result, such as a refined numerical
aperture.
[0285] In another embodiment, an energy relay may contain two
different module structures optimized for the transport of two
different energy sources. For example, in FIG. 19, the module
structures 1912 may be optimized for the visible electromagnetic
spectrum, with CES 1902, 1904, and 1906 having a size that is
comparable with the wavelength of visible light, and having a range
of refractive indices appropriate for the transmission of visible
light, while the module structures 1908 may be optimized for the
transport of ultrasonic waves, with CES 1910, CES 1914, and CES
1916 having a range of acoustic impedance values selected for the
transmission of ultrasonic sound waves, and each with a size
comparable with the wavelength of the sound waves being
transmitted.
[0286] The specific non-random pattern shown in FIG. 19 is for
exemplary purposes only, and one skilled in the art should
recognize that there are many aspects of a non-random pattern one
may preferably alter in order to yield a desired result while still
falling within the scope of the present disclosure. For example,
FIG. 19 illustrates two distinct module patterns 1912 and 1908.
However, there may be non-random patterns with one, two, three, or
more, distinct module patterns. Furthermore, the size of CES
particles or modules may either be uniform or may vary between
modules, as shown in FIG. 19. Modules may also exist with similar
patterns of particle distribution but vary in size, for example.
The various ratios of different modules in a relay material or the
specific arrangement of modules within a relay material may also be
adjusted. Additionally, a relay material may also include non-CES
elements, such as intentionally included empty spaces or air
bubbles or gaps which may impart some benefit to the material.
Interstitial materials may also be included between modules, or
between particles within a module. It should also be appreciated
that manufacturing complexities may lead to defects wherein a
non-random pattern may deviate from the intended non-random
pattern, and one skilled on the art should appreciate that these
deviations are inadvertent and should not be limiting of the scope
of the present disclosure.
[0287] FIG. 20A illustrates a perspective view of a pre-fused
module 2000 featuring an arrangement of particles comprising one of
three different CES materials, CES 2002, CES 2004, or CES 2006 The
particles comprising module 2000 are arranged in a non-random
pattern with variable particle size. FIG. 20B illustrates a
perspective view of module 2000 after it has been fused. As
illustrated in FIG. 20A and FIG. 20B, the size of individual
particles can be selected to be any preferable size. Also of note
is the fact that when designing a module, consideration should be
paid as to how a particular arrangement of CES particles will be
affected by the fusing process. For example, although there is
noticeable empty space surrounding CES particles comprising CES
2006 in the center of FIG. 20A, upon fusing the individual
particles form an AP 2008 in FIG. 20B comprised of CES 2006 and the
voided space is then filled with CES 2006 material. This allows for
significant flexibility in designing non-random pattern relay
materials as well as in the manufacturing process, and expands the
number of possible designs.
[0288] FIG. 20C illustrates a cutaway view in the transverse plane
of a portion 2010 of a pre-fused energy relay comprising a
distribution of particles and a non-random pattern of additional
structures 2012. FIG. 20D illustrates a cutaway view in the
transverse plane of the fused portion 2010 comprising the particles
and additional structures 2012. In an embodiment, the additional
structures 2012 may be energy inhibiting structures. In traditional
optical fibers using a core-clad configuration, an energy wave
propagation material is surrounded by an energy inhibiting cladding
in order to contain the energy within the propagation material. The
addition of the cladding around the energy propagation material is
an additional step which adds to the manufacturing complexity and
design constraints in many cases. By incorporating inhibiting
structures within the pre-fused distribution of energy wave
propagation materials, the cost, complexity, and efficacy of the
inhibiting structures may be greatly improved Furthermore, by
selecting where the inhibiting structures are located within the
energy relay material in the transverse direction, as well as the
size of the inhibiting structures, it is possible to further reduce
energy wave diffusion, scattering, and interference effects
compared to conventional core-clad design schema.
[0289] FIG. 20E illustrates a perspective view of a module 2020 of
a pre-fused energy relay comprising a non-random pattern of
hexagonally shaped particles, each particle comprising one of CES
2022, CES 2024, or CES 2026. The boundaries between CES material
region 2022, 2024, and 2026 are straight lines. FIG. 20F
illustrates a perspective view of module 2020 after it has been
fused, with the borders between CES material regions 2022, 2024,
and 2026 that are no longer perfectly straight, but are
substantially in the same location as the pre-fused boundaries.
FIG. 20E and FIG. 20F demonstrate that the individual shape of
particles which comprise an energy relay material can be designed
and customized to any preferable shape or arrangement. Furthermore,
by designing and arranging CES materials with a regular hexagonal
shape, it becomes much easier to predict how the non-random pattern
will appear once the fusing process is complete. Module 2020 after
fusing in FIG. 20F is nearly identical to the pre-fused arrangement
shown in FIG. 20E. In addition, there are a number of shapes and
configurations for CES particles besides a regular hexagonal tiling
which allow for this advantage, collectively referred to as convex
uniform tidings, Convex uniform tidings and their potential
application within the context of the present disclosure will be
addressed in forthcoming sections herein.
[0290] Further to the embodiments demonstrated in the preceding
paragraphs, FIG. 20G illustrates a perspective view of a module
2030 of a pre-fused energy relay comprising a non-random pattern of
irregularly shaped CES regions. FIG. 20G demonstrates the concept
that the individual size, shape, material, or any other property of
a particle may be advantageously selected based on the particular
design constraints preferably imposed. Analysis of FIG. 20G reveals
that despite several particles having an irregular size or shape, a
non-random pattern is still possible using module 2030. Thus, an
energy relay material composed of modules resembling module 2030
may still realize Ordered Energy Localization despite having many
irregular substituents, and may in fact represent an improvement
over randomized distributions of materials for certain
applications
[0291] FIG. 20H illustrates a perspective cross-sectional view of a
portion 2040 of a pre-fused tube and pellet system for
manufacturing an energy relay, and FIG. 20I illustrates a
perspective cross-sectional view of portion 2040 after fusing.
Rather than providing long, thin rods of CES material which are
then arranged into a non-random pattern and fused together, it is
possible to arrange a number of hollow bodies of CES material and
fill those tubes with additional CES material, then fuse the entire
tube and pellet system to yield an energy relay material,
[0292] In FIG. 20H, tube 2042 may comprise CES 2044 and may be
arranged adjacent to tubes 2043 and 2045, where 2043 and 2045 may
comprise a CES material different than CES 2044 Tube 2042 may then
be filled with pellets 2046 of a material different than CES 2044,
A filler material 2048 may then be placed in the voids or
interstitial regions 2041 between tubes 2042, 2043, and 2045, which
may be an additional CES material, an energy inhibiting material,
or any other preferable material. The tube and pellet system shown
in FIG. 20H may then be fused and produce the portion 2040 shown in
FIG. 20I Upon fusing, all pellets 2046 within tube 2044 may form AP
2047, and filler material 2048 may flow to occupy interstitial
regions 2041. By appropriately selecting the size of the tubes, the
size of the pellets, the material types of each tube and pellet,
and the material type of any interstitial materials, it becomes
possible to use the tube and pellet system shown in FIG. 20H and
FIG. 20I to produce energy relay materials exhibiting Ordered
Energy Localization consistent with the present disclosure.
[0293] FIG. 20J illustrates a cutaway view in the transverse plane
of a module 2050 of a pre-fused energy relay comprising a
non-random pattern of particles comprising one of CES 2052, CES
2054, or CES 2056, CES 2056 may preferably be chosen as a material
with energy inhibiting or energy absorbing properties and particles
comprising CES 2056 may preferably be arranged to form micro-sized
energy inhibiting structures which can be embedded within the
non-random pattern of module 2050. Adding energy, inhibiting
structures to the pattern of Ordered Energy Localization
distribution within an energy relay module may provide an
easier-to-manufacture method of controlling energy propagation
properties through the material, such as controlling the numerical
aperture of the energy relay. Furthermore, by leveraging Ordered
Energy Localization principles to control factors such as numerical
aperture, focal length, chief ray angle, etc., it may be possible
to realize higher energy transport efficiency through Ordered
Energy Localization inducing materials as well as to reduce the
amount of inhibiting material.
[0294] FIG. 20K illustrates a cutaway view in the transverse plane
of a module 2060 of a pre-fused energy relay comprising a
non-random pattern of particles comprising one of CES 2052, CES
2054, or CES 2056, and a surrounding energy inhibiting material
comprising CES 2058 Rather than placing inhibiting structures
within a non-random pattern distribution as shown in FIG. 20J, it
is also possible to surround a non-random patterned energy relay
module with energy inhibiting material. This approach ensures that
energy is contained and localized within the non-random pattern of
module 2060, and ensures reduced diffusion of said energy outside
the boundaries of the module 2060 by leveraging energy inhibiting
CES 2058.
[0295] FIG. 21A illustrates a cross-sectional view in the
transverse plane of a pre-fused energy relay 2100 comprising a
flexible outer enclosure 2102, end caps 2104, and pellets of energy
transport material arranged in a non-random pattern comprising one
of CES 2106, CES 2108, or CES 2110. Relay 2100 is similar to the
flexible energy relay shown in FIG. 7A, but rather than having a
randomized distribution of energy transport materials, features a
non-random pattern of energy transport materials. Importantly, the
composition at any point in the transverse direction, such as plane
2114, should maintain a non-random pattern of CES materials to
effectively induce an Ordered Energy Localization effect.
Additionally, along the longitudinal direction, such as path 2116,
there should be constant CES material to promote propagation of
energy waves in the longitudinal direction.
[0296] A system for forming flexible relay 2100 may include
providing flexible enclosure 2102 and adding CES materials into
flexible enclosure 2102 in a non-random pattern. Then, end caps
2104 are positioned in place at the ends of enclosure 2102 to seal
the CES materials within the flexible relay 2100. Finally, the
relay 2100 may be fused to secure the CES materials in their
designated locations within the non-random pattern.
[0297] There may exist voids between CES materials within the
flexible relay 2100, such as void 2112. Void 2112 may preferably be
left empty, whereupon fusing, CES material will flow into and
occupy void 2112, or an interstitial material may be introduced to
relay 2100 in order to occupy empty space between CES materials.
The interstitial material may also have energy wave propagation
properties or energy wave inhibition properties as desired.
[0298] FIG. 21B illustrates a cross-sectional view of a fused
version of flexible relay 2100. Importantly, CES materials 2106,
2108, and 2110 are continuous in the longitudinal direction, which
may promote more efficient transport of energy through relay
2100.
[0299] FIG. 21C illustrates a cross sectional view of flexible
relay 2100 in a non-fused and non-flexed state, and FIG. 21D
illustrates a cross-sectional view of flexible relay 2100 in a
fused and non-flexed state. Of note is that flexible enclosure 2100
may be in a flexed or non-flexed state either before or after
fusing, and the underlying design criteria and principles of energy
transport being levered in a flexible energy relay are still in
effect
Methods for Macro-Scale Production of Ordered Energy Relay
Microstructures
[0300] FIG. 22A illustrates a cutaway view in the transverse plane
of a system for forming non-random pattern of energy relay
materials (for Ordered Energy Localization relay of energy). In
FIG. 22A, a module 2200 of an energy relay is shown comprising a
non-random pattern of particles comprising one of CES 2202, CES
2204, or CES 2206. As illustrated in FIG. 22A, module 2200 may have
a certain initial size, which is a result of the size of CES
particles which define module 2200, as well as the particular
pattern that the particles are arranged in. By applying heat and
pulling module 2200 along a longitudinal direction, as previously
discussed in the present disclosure, it becomes possible to reduce
the size of module 2200 down to a smaller diameter while
maintaining the specific non-random pattern of CES materials which
define module 2200. The resulting reduced-sized module 2208 shown
in FIG. 22B may have substantially the same non-random pattern of
materials as module 2200, but may be substantially smaller in a
transverse direction, effectively changing the energy wavelength
domain of energy which may be effectively transported through
module 2208 in a longitudinal direction. The general distribution
of CES materials has been preserved in the reduced-sized module
2208, although the fusing process will cause some local variation
or deformation in the shape of CES material regions. For example,
the single rod of CES 2202 has become CES material 2203, the CES
2204 and its two contiguous neighbors have become fused region 2205
with roughly the same shape, and the single rod of CES 2206 has
deformed to a roughly hexagonal-shaped CES 2207.
[0301] FIG. 22B illustrates a cutaway view in the transverse plane
of a system for forming non-random pattern of energy relay
materials and represents a fused version of the module 2200 shown
in FIG. 22A. The principles described in reference to FIG. 22A are
also applicable to FIG. 22B. By fusing a material before pulling it
to a reduced-size module 2208, there may be less variation imposed
as a result of the pulling process, and the reduced-size energy
relay may possess a more predictable material distribution. In one
embodiment, the fusing process may include heating up the relay
material to a temperature that is less than the glass transition
temperature of one or more of the component engineered structures
that comprise the relay. In a different embodiment, the relay
material is heated to a temperature that is close to the glass
transition temperature of one or more of the component engineered
structures, or the average glass transition temperature of the
component engineered structures that comprise the relay. In an
embodiment, the fusing process may include using a chemical
reaction to fuse the relay materials together, optionally with a
catalyst. In an embodiment, the fusing process may include placing
the arrangement of component engineered structures into a
constrained space, and then applying heat. The constrained space
may be provided by a fixture similar to the ones shown in FIG.
26A-26E which are configured to define a constrained space 2606. In
an embodiment, the fusing process may include placing the
arrangement of component engineered structures into a constrained
space, applying a compressive force to the energy relay materials,
and then applying heat. This is particularly useful if the
component engineered structures are polymers with biaxial tension,
where the compressive force prevents the materials from warping or
shrinking as they are fused together or annealed. In this way, the
fusing step also involves relaxing the material, and may be
referred to as a fusing and relaxing step. In an embodiment, the
fusing and relaxing process may include a sequence of steps with
process parameters, where each step includes one of: using a
chemical reaction to fuse the energy relay materials, optionally
with a varying level of catalyst; constraining the arrangement and
applying a compressive force with a desired force level; applying
heat to a desired temperature level, which may be close to the
glass transition temperature of one or more of the component
engineered structures of the relay, and applying cooling to a
desired temperature. The fused and relaxed material may then be
released from the constrained space after fusing, has
completed.
[0302] FIG. 23 illustrates a. continuation of the process 2300
shown in FIG. 22B. Multiple reduced-sized modules 2208 of an energy
relay may be arranged into the grouping as shown in portion 2301.
By applying heat and pulling module 2301 along a longitudinal
direction, as previously discussed and shown in FIGS. 22A and 22B,
it becomes possible to taper the size of composite module 2301 down
to smaller microstructure module 2302, while maintaining the
specific non-random pattern of CES materials which define module
2301. This process can be repeated again using module 2302 to yield
the even small microstructure module 2304. Any desirable number of
iterations of this process can be performed in order to achieve a
desired microstructure size. Since module 2301 is itself composed
of shrunken modules 2208, the original distribution of CES
materials which define 2208 has been preserved, but made even
smaller in the transverse dimension, in such a way that 2304 also
shares the same non-random pattern as portions 2301, as illustrated
by a blow-up 2306 of a sub-portion of portion 2304. Outline 2308
represents the original size of portion 2301 compared to the
reduced-size portion 2304. This process can then be repeated any
number of times to yield non-random pattern energy relays of a
desired transverse size having started from larger materials. For
example, multiple modules 2304 may be arranged in a similar
grouping of 2301, and the process repeated. This system makes it
possible to form micro-level distribution patterns without having
to manipulate individual CES materials on the micro scale, meaning
that manufacturing of energy relays can remain in the macro-scale.
This may simplify the overall manufacturing process, reducing
manufacturing complexity and expense. This size-reduction process
can also provide more precise control over the actual transverse
dimension and patterning of the CES materials, which enables one to
custom tailor a relay to a specific desired energy wavelength
domain
[0303] FIG. 24 illustrates a block-diagram of the heating and
pulling process of forming energy relay materials. In step 2402,
CES materials are first arranged in a desired non-random pattern.
In step 2404, the materials may further be arranged into a
constrained space. In step 2406, the energy relay materials are
fused together in the constrained space, where fusing/relaxing may
be a sequence of steps, where each step may include any of:
applying compressive stress to the arrangement of energy relay
materials, applying heat, applying cooling, or using a chemical
reaction, possibly with a catalyst. In step 2408, the non-random
materials are removed from the constrained space. In the next step
2410, the energy relay materials are then heated to the appropriate
temperature, which in some embodiments may be the glass transition
temperature of one or more of the non-random CES materials. In step
2412, the materials are then pulled into reduced-size
microstructure rods, as shown above in FIGS. 22B and 23. The
reduced size microstructure rods produced in step 2412 are then
arranged into a desired non-random pattern again, similar to the
bundle 2301 in FIG. 23, in step 2414. The non-random arrangement of
microstructure rods may again return to step 2404 to be
constrained, fused/relaxed, heated, pulled, and arranged in order
to form a second order reduced size microstructure rod, similar to
the microstructure 2304 shown in FIG. 23. If the second-order
microstructure rods, produced in step 2414 need to undergo further
heating and pulling to adjust their energy transport domain, step
2404 may be returned to using the second-order microstructure rods,
and the ensuing steps may be repeated a desired number of times to
produce energy relay materials of the desired size and
configuration to relay energy in the desired energy domain,
containing n.sup.th order microstructure rods. At the final step of
the process 2416, the final arrangement of microstructure rods is
fused/relaxed to form an energy relay.
[0304] FIG. 25 illustrates an embodiment for forming energy relays
with a reduced transverse dimension, and represents a visualization
of some of the steps of the process described in FIG. 24. First, a
material with a non-random pattern of CES's is provided, such as
module 2502, which is constrained, fused/relaxed, and released It
is then heated and pulled to form reduced dimension module 2504.
The discontinuity seen between the original module 2502 and the
reduced dimension module 2504 is an artistic representation of the
above-described process whereby the transverse dimension of the
original module 2502 is reduced to that of module 2504, though they
are in fact the same material. Once a sufficient number of reduced
dimension modules 2504 have been produced, they may be re-assembled
in a new non-random pattern shown at 2508. This new non-random
pattern 2508 comprises a plurality of reduced-size modules 2504,
which may then undergo a similar process of being constrained,
fused/relaxed, released, heated and pulled to produce the reduced
dimension module shown at 2506. The discontinuity seen between the
non-random pattern 2508 and the reduced dimension module 2506 is an
artistic representation of the above-described process whereby the
transverse dimension of the original distribution 2508 is reduced
to that of module 2506, though they are in fact the same material.
This process may be iterated as many times as desired in order to
produce an energy relay of a preferable size, containing a
preferable density of energy relay material channels for relaying
energy.
Fixturing Methods Addressing Biaxial Stress for Forming Energy
Relays
[0305] FIG. 26A illustrates a perspective view of system 2600 for
fusing energy relay materials by fixing the pre-fused relay
materials 2606 in a fixture comprising two pieces 2602 and 2604.
Materials 2606 may be arranged in a non-random pattern prior to
placing within fixtures 2602 and 2604, after which they are held by
the fixtures in the non-random pattern In embodiments, the
non-random pattern of materials 2606 may be formed within the
interior space between fixtures 2602 and 2604 after they have been
assembled together. In an embodiment, relaxation of materials 2606
may occur before, during, or after fusing the relay materials
2606.
[0306] FIG. 26B illustrates an embodiment in which fixtures 2602
and 2604 are assembled and contain energy relay materials as part
of fusing the energy relay materials. The assembled fixtures 2602
and 2604 containing a non-random pattern of materials 2606 may then
be heated by applying heat 2614 for a suitable amount of time at a
suitable temperature. In an embodiment, the amount of time and
temperable for applying may be determined based on the relay
materials' material properties, including the change in structural
stress due the addition or removal of heat. In an embodiment,
relaxing of materials 2606 may be a pre-fusing process whereby the
materials are held at a temperature or within a range of
temperatures for an extended period of time in order to release
structural stresses, including, for example, those from the
annealed relaxation of the stress in biaxial materials, and help
the materials form more effective bonds during the fusing process.
If energy relay materials are not relaxed before fusing, the
material may "relax" after the fusing process has occurred and
suffer a deformation or delamination with adjacent materials or the
CES material distribution may otherwise be compromised by shifting
in an undesired way. The relaxation method is intended to prevent
this by preparing the non-random pattern of relay materials for the
fusing process so that the non-random pattern may be maintained to
a greater degree after fusing. Additionally, relaxing materials may
make for a more effective draw or pull of the material during the
process illustrated in FIG. 24 Once the relaxation process is
complete, the materials 2606 may remain in fixtures 2602 and 2604
as the system is heated to the fusing temperature by adjusting heat
2614, and materials 2606 are fused together, or the materials may
be removed from the fixtures 2602 and 2604 prior to fusing.
[0307] FIG. 26C illustrates the materials shown at 2606 in FIG. 26B
having been fused together, to form the fused ordered energy relay
material 2608. In the embodiment shown, the relay materials are
kept inside the fixtures 2604 and 2602 during the relay fusing
process, and then the resulting fused relay 2608 as illustrated in
FIG. 28 is removed from the fixture. In embodiments, the energy
relay materials may be removed from fixtures 2602 and 2604 prior to
fusing
[0308] Additionally, in an embodiment the fixtures 2602 and 2604
may be configured to apply a compressive force 2610 on the energy
relay materials. The compressive force 2610 may be directed along
the transverse plane of the energy relay materials in order to
provide resistance to expansion or deformation along the transverse
plane as internal stresses are relaxed in the material. This
compressive force 2610 may be adjustable, such that the amount of
compressive force may be increased or decreased as desired, in
combination with temperature changes applied to the energy relay
materials. In embodiments, the compressive force 2610 may further
be variable along the longitudinal orientation, such that different
portions of the energy relay material may experience different
amounts of compressive force simultaneously This compressive force
2610 may be applied with bolts 2612 that clamp fixture components
2602 and 2604 together, where the bolts 2612 are distributed along
the length of the relay.
[0309] FIG. 26D illustrates a perspective view of a fixture 2601
for fusing energy relay materials with movable strips on each
interior surface of the fixture in order to apply a radially inward
compressive force In the embodiment illustrated in FIG. 26D, the
interior sides of fixture components 2602 and 2604 may contain
movable strips 2621 extending the length of the fixture 2601, that
may apply force 2610 towards the constrained space 2606 defined by
the fixture 2601, oriented towards the center of relay materials,
such as materials 2608 from FIG. 26C, which may be constrained
within the fixture 2601. Each strip 2621 may be composed primarily
of a structurally stiff material such as aluminum, steel, carbon
fiber, or a composite material, and may be tightened via multiple
bolts 2623 that are threaded through each side of the fixture
components 2602 and 2604. Each strip 2621 may have a pliable
surface 2622, such as rubber attachment, mounted to the interior
side of the strip 2621, where an interior surface of the pliable
surface 2622 defines the constrained space 2606. The pliable
surface 2622 may assist in distributing the force 2610 applied to
each strip 2621 evenly to the energy relay materials constrained in
the constrained space 2606. In this embodiment, clamping bolts 2612
are used to keep the components 2602 and 2604 of the fixture 2601
attached together as force 2610 is applied to the strips 2621 via
tightening of the bolts 2623
[0310] FIG. 26E illustrates a cross-sectional view of the fixture
2601 along a transverse plane of the fixture 2601. Bolts 2623 may
extend through the fixture from an interior to an exterior side,
and may be threaded to secure bolts 2623 in place and allow
adjustment of their positions. As bolts 2623 are adjusted, the
force 2610 applied to the movable strips 2621 is increased or
decreased, thereby allowing adjustment of the compressive force
2610 applied to the constrained space 2606, and any energy relay
materials which may be constrained therein, such as materials 2608
from FIG. 26C. Fixture 2601 allows for a variation in compressive
force both longitudinally from one end of the fixture to another,
but also transversely, as individual bolts 2623 may be adjusted
independently of one another. Furthermore, bolts 2623 may be
adjusted at different times, allowing adjustment of compressive
force 2610 temporally as well.
[0311] FIG. 27 illustrates a block diagram of the process of
forming an energy relay. In step 2702 the CES energy relay
materials are arranged in a desired non-random pattern. Then, in
step 2704, the energy relay materials are secured in a fixture. In
step 2706, the fixture containing the energy relay materials
arranged in the non-random pattern is subjected to one or more of
processing steps, where each processing step is one of: applying a
compressive force to the energy relay materials; applying heating
to the energy relay materials; cooling the relay materials, or
using a chemical reaction to fuse the relay materials, which may
involve use of a catalyst. In one embodiment, the energy relay
materials are heated to an appropriate temperature or range of
temperatures for a desired amount of time to sufficiently relax and
fuse the materials, and the compressive forces on the relay
material may be adjusted at different temperatures to remove air
gaps and ensure the component engineered structure materials fuse
together. Then in step 2708, the relaxed, fused energy relay
materials are removed from the fixture.
[0312] FIG. 28 illustrates a perspective view of a fused block of
ordered energy relay materials 2606 after having been relaxed,
fused, and released from fixtures 2602 and 2604 of FIG. 26B. The
materials 2608 is now a continuous block of energy relay material
no longer having discernable individual particles, but rather a
continuous arrangement of aggregated particles (AP) of CES
material. However, the non-random material distribution is still
preserved and will induce Ordered Energy Localization along the
transverse direction of the material. Block 2608 may now undergo
additional heating and pulling in order to reduce the transverse
dimensions of block 2606, as shown in FIGS. 22B, 23, and 25, with
reduced risk of material deformation. FIG. 24 illustrates a block
diagram of a combined overall process for manufacturing micro-scale
ordered energy relay materials.
[0313] In an embodiment, some amount of material deformation may
exist. Deformation may occur during any of the processes described
herein, including during said heating, pulling, fixturing, or other
disclosed steps or processes One skilled in the art should
appreciate that while care may be taken to avoid unwanted material
deformation, the materials may still experience unintended
deformations. For example, comparing the embodiments illustrated in
FIGS. 20E and 20F, FIGS. 20A and 20B, or FIGS. 26B and 26C, one can
see a slight deformation of the borders of the individual CES
materials. While this may introduce some amount of uniqueness to
each particular CES, it should be understood that minute
deformations of CES materials that occur during processing should
not be given consideration when identifying a substantially
non-random pattern as disclosed herein, and do not represent a
departure from said non-random pattern.
[0314] Due to the flexibility of the material chosen to be used for
relaying energy according to the present disclosure, one may
preferably design an energy relay material using flexible or
partially flexible materials capable of bending or deforming
without compromising their structure or energy wave propagation
properties. With traditional glass optical fibers, the glass rods
remain largely inflexible throughout the production process, making
manufacturing difficult and expensive. By leveraging more robust
materials with greater flexibility, cheaper and more efficient
manufacturing avenues may be used.
Combining Transverse Dimensional Reduction and Fixture Forming
Methods
[0315] FIGS. 29A and 29B illustrate a system 3000 for efficiently
manufacturing ordered microstructure energy relay materials using a
rotational drum. In system 3000, energy relay materials 3004
arranged in a non-random pattern may be provided and held in place
by fixture 3002, where 3002 may be similar in form to that of
fixture 2600. At 3006, a furnace may be provided, or another type
of forming apparatus designed to produce the required form, size,
or ordering of the relay materials 3004 At 3006, the materials 3004
may be pulled or drawn into a reduced size, flexible thread of
energy relay material shown at 3008. Importantly, while the
transverse dimension of materials 3008 is less than that of
materials 3004, the non-random arrangement of energy relay
materials present in materials 3004 is substantially maintained in
flexible materials 3008. The flexible material 3008 may be conveyed
by a motorized control system which may be used to maintain an
appropriate speed for processing materials to a consistent size,
shape, order, design, or other parameter. Alignment hardware 3010
is provided, which may be configured to rel ay the materials within
the necessary tolerance of their flexibility, to avoid breakage and
maintain the appropriate alignment of the material along the
manufacturing process 3000. A positioner may be provided at 3012,
which provides automated or semi-automated geometric alignment of
the flexible material 3008 to the appropriate spacing and
positioning relative to drum 3014. The positioner may have a
positioning head (not shown) with a specific shape to match the
flexible material 3008 and provide increased accuracy when aligning
the material 3008 with the drum 3014. Drum 3014 may be a
computer-controlled or motor-controlled drum that rotates at a
speed commensurate with the draw speed of the flexible material
3008. The drum 3014 may include a mechanical or laser/optical
measurement system (not shown) to automatically adjust the speed of
the drum 3014's rotation or other motion to ensure consistent and
accurate ordering is maintained. The drum 3014 may comprise a
number of ordering molds 3016 along the circumference, as shown in
FIG. 29A, or may comprise a singular, circumferential mold 3016 as
shown in FIG. 29B. Ordering molds 3016 collect the material 3008 as
it is drawn from relay material 3004, with the material having a
predetermined non-random ordering that is maintained by the speed
of the drum and the motion of positioner 3012. The ordering molds
3016 may be any parent shape (e.g. round, hex, etc.) as desired for
fusing, and are generally configured as half or a partial section
of a material fixture, similar to fixture 3002, where 3002 may be
similar in form to that illustrated in system 2600. In an
embodiment illustrated in FIG. 29B, drum 3014 may comprise a single
fixture extending around the circumference of the drum. As drum
3014 rotates, flexible material 3008 is positioned at the
appropriate location within the ordering molds 3016, eventually
filling the molds 3016, and forming a second arrangement of
materials 3005. Once molds 3016 are filled with second arrangements
3005 comprising a non-random arrangement of flexible material 3008,
the material 3005 may be severed at interstitial sites 3018 to
separate the filled molds 3016. In the embodiment shown at FIG.
29B, the continuous spool of second arrangement material 3005 may
be severed at desired locations in order to produce segments of a
desired length, whether to be a final product, or to be recycled
through the illustrated process Prior to cutting, the molds 3016
may be fused, sealed, compressed, or otherwise secured such that
the ordering of the materials 3005 within the molds 3016 is
maintained. This process may be iteratively repeated by using a
filled mold 3016 as the preform fixture 3002, wherein the second
arrangement of materials 3005 may be used in place of material 3004
at the beginning of the process shown in FIGS. 29A and 29B until a
desired energy relay material has been obtained.
[0316] Embodiments of the second arrangement of materials 3005
comprises a plurality of segments of flexible materials 3008, which
themselves are reduced transverse dimensional versions of the
energy relay materials 3004 which were arranged in a non-random
pattern. Thus, said embodiments of second arrangement of materials
3005 comprise a plurality of miniaturized, non-random arrangements
of energy relay materials, and are therefore also considered non
randomly arranged, Ordered Energy Localization inducing
materials.
[0317] Once a second arrangement of materials 3005 is obtained, it
may be recycled through the illustrated process, replacing energy
relay materials 3004 The result of the recycling of second
arrangement 3005 would yield a corresponding third arrangement (not
illustrated), which itself would comprise a plurality of
miniaturized (reduced transverse dimension) segments of second
arrangement 3005. This process can be repeated any number of times
in order to yield a material such that the original, non-random
arrangement of energy relay materials (originally present in
materials 3004) now possesses a transverse dimension configured to
localize energy of a desired domain (such as a desired range of
wavelengths in the case of light energy).
[0318] In an embodiment, the fixture 3002 securing the energy relay
materials 3004, may be further configured to apply a compressive
force on the materials 3004 in order to force them through the
forming apparatus 3006 to promote reforming of the materials 3004
into the reduced transverse dimension materials 3008. In another
embodiment, the fixture 3002 may instead be configured to have an
external force applied to it, such as by an electric motor or other
similar source of force, in order to ultimately force the relay
materials 3004 through forming apparatus 3006.
Optimized Ordered Geometries for Ordered Energy Localization
[0319] Several different geometries for CES particles and material
pre-forms have been illustrated thus far. One aspect of the present
disclosure is that any arrangement or geometry of materials may be
leveraged, so long as they comprise a non-random pattern as
previously discussed. However, the pre-fused relay material
geometry may have a significant impact on the efficiency of the
localization and energy propagation properties of the materials. In
an embodiment, certain geometries, known as convex uniform filings,
may provide advantageous distributions of relay materials by
arranging the materials in efficient configurations.
[0320] In general, a tiling or tessellation is an arrangement of
geometric shapes where there is substantially no overlap between
the shapes and there are no gaps between the shapes. A tessellation
can arranged on a 2-dimensional surface using planar shapes, or in
3-dimensions using volumetric structures. Furthermore, there exist
subtypes within the domain of tiling. A regular tiling, for
example, is a tessellation wherein each tile is the same shape.
There are many non-regular tilings comprising a set of two or more
shapes configured to tessellate with one another according. There
are also non-periodic tilings which have no repeating pattern, as
well as aperiodic tilings which use a set of repeating tile shapes
that cannot form a repeating pattern, such as a Penrose tiling. All
subtypes of tiling fall within the scope of the present disclosure.
The shapes of the tiles, in two-dimensional embodiments, may be
polygonal, convex, concave, curved, irregular, etc. Additionally,
it should be apparent to one of ordinary skill in the art that
while the definition of a tiling precludes there being gaps or
space between tiles, there are real-world circumstances that
sometimes cause deviation from strict definition, and that the
existence of minor gaps or spaces between particular tiles should
not be seen as a departure from a particular tiling or tessellation
pattern.
[0321] For the relays of certain energy domains, there may also
exist a desirability to use air as a CES energy transport material,
which may be incorporated into a tiling pattern as disclosed
herein. Therefore, the existence of air or empty space between
other types of CES tiles may be an intentional gap by design, and
may be a continuation of the tessellation in particular
embodiments.
[0322] A tessellation may also be performed in higher dimensions,
such as 3-dimensional space. The same principles disclosed above
apply to these tessellations.
[0323] The Laves filings, for example, have vertices at the centers
of the regular polygons, and edges connecting centers of regular
polygons that share an edge. The tiles of the Laves tilings are
called planigons including 3 regular tiles (triangle, square and
pentagon) and 8 irregular ones. Each vertex has edges evenly spaced
around it. Three dimensional analogues of the planigons are called
stereohedrons
[0324] All reflectional forms can be made by Wythoff constructions,
represented by Wythoff symbols, or Coxeter-Dynkin diagrams, each
operating upon one of three Schwarz triangles (4,4,2), (6,3,2), or
(3,3,3), with symmetry represented by Coxeter groups, [4,4], [6,3],
or [3[3]]. Only one uniform tiling can't be constructed by a
Wythoff process, but can be made by an elongation of the triangular
tiling An orthogonal mirror construction [.infin.,2,.infin.] also
exists, seen as two sets of parallel mirrors making a rectangular
fundamental domain. If the domain is square, this symmetry can be
doubled by a diagonal mirror into the [4,4] family. We disclose the
geometries that may be leveraged.
[0325] A percolation model is to take a regular lattice, like a
square lattice, and make it into a random network by randomly
"occupying" sites (vertices) or bonds (edges) with a statistically
independent probability p. At a threshold p.sub.c, large structures
and long-range connectivity first appears, and this is called the
percolation threshold. Depending on the method for obtaining the
random network, one distinguishes between the site percolation
threshold and the bond percolation threshold More general systems
have several probabilities p.sub.1, p.sub.2, etc., and the
transition is characterized by a surface or manifold. One can also
consider continuum systems, such as overlapping disks and spheres
placed randomly, or the negative space
[0326] When the occupation of a site or bond is completely random,
this is the so-called Bernoulli percolation. For a continuum
system, random occupancy corresponds to the points being placed by
a Poisson process. Further variations involve correlated
percolation, such as percolation structures related to Ising and
Potts models of ferromagnets, in which the bonds are put down by
the Fortuin- Kasteleyn method. In bootstrap or k-sat percolation,
sites and/or bonds are first occupied and then successively culled
from a system if a site does not have at least k neighbors. Another
important model of percolation, in a different universality class
altogether, is directed percolation, where connectivity along a
bond depends upon the direction of the flow.
[0327] Simply, duality in two dimensions implies that all fully
triangulated lattices (e.g., the triangular, union jack, cross
dual, martini dual and asanoha or 3-12 dual, and the Delaunay
triangulation) all have site thresholds of 1/2, and self-dual
lattices (square, martini-B) have bond thresholds of 1/2.
[0328] Leveraging tiled structures may have the result of altering
the respective holographic pixel aspect ratio, while providing
variation in field of view spatially and/or volumetrically.
[0329] Reduction in moire or repeating patterns may also provide
increased effective resolution and simultaneously provides higher
potential levels of accuracy (increase in depth of field) by virtue
of the various convergence locations that may be addressed
Increased efficiency of resolution may also be achieved by packing
more effective resolution in potential dimensions that are more
ideal for applications by not necessarily leveraging a repeating
single orientation or pattern.
[0330] Several embodiments of patterns that represent the spatial
distribution of relay materials in the plane transverse to the
longitudinal direction of energy wave propagation, which spatially
localize the energy waves in this transverse plane via the
principle of Ordered Energy Localization, are illustrated in FIG.
30-FIG. 58G.
[0331] FIG. 30 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of two different energy relay materials
having one of two shapes. The specific tiling shown in FIG. 30 is a
square tiling (or quadrille tiling).
[0332] FIG. 31 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials having one of two shapes The specific tiling shown in
FIG. 31 is a truncated square tiling (or truncated quadrille).
[0333] FIG. 32 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials having one of two shapes. The specific tiling shown in
FIG. 32 is a modified version of a truncated square tiling.
[0334] FIG. 33 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of two different energy relay materials
all sharing the same shape. The specific tiling shown in FIG. 33 is
a Tetrakis square tiling (kisquadrille).
[0335] FIG. 34 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of two different energy relay materials
having one of two shapes. The specific tiling shown in FIG. 34 is a
snub square tiling (snub quadrille)
[0336] FIG. 35 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of two different energy relay materials
all sharing the same shape. The specific tiling shown in FIG. 35 is
a Cairo pentagonal tiling (4-fold pentille).
[0337] FIG. 36 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials all sharing the same shape. The specific tiling shown in
FIG. 36 is a hexagonal tiling (hextille).
[0338] FIG. 37 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of two different energy relay materials
all sharing the same shape The specific tiling shown in FIG. 37 is
a triangular tiling (deltille).
[0339] FIG. 38 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of two different energy relay materials
having one of two shapes. The specific tiling shown in FIG. 38 is a
trihexagonal tiling (hexacleltille).
[0340] FIG. 39 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials all sharing the same shape. The specific tiling shown in
FIG. 39 is a rhombille tiling (rhombille).
[0341] FIG. 40 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials having one of two shapes. The specific tiling shown in
FIG. 40 is a truncated hexagonal tiling (truncated hextille).
[0342] FIG. 41 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials all sharing the same shape The specific tiling shown in
FIG. 41 is a triakis triangular tiling (kisdeltille).
[0343] FIG. 42 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials having one of three shapes. The specific tiling shown in
FIG. 42 is a rhombitrihexagonal tiling (rhombihexadeltille).
[0344] FIG. 43 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials all sharing the same shape. The specific tiling shown in
FIG. 43 is a deltoidal trihexagonal tiling (tetrille).
[0345] FIG. 44 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials having one of three shapes. The specific tiling shown in
FIG. 44 is a truncated trihexagonal tiling (truncated
hexadeltille)
[0346] FIG. 45 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of two different energy relay materials
all sharing the same shape. The specific tiling shown in FIG. 45 is
a kisrhombille tiling (kisrhombille).
[0347] FIG. 46 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials having one of two shapes. The specific tiling shown in
FIG. 46 is a snub trihexagonal tiling (snub hextille).
[0348] FIG. 47 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials all sharing the same shape. The specific tiling shown in
FIG. 47 is a floret pentagonal tiling (6-fold pentille).
[0349] FIG. 48 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of four different energy relay materials
having one of two shapes. The specific tiling shown in FIG. 48 is
an elongated triangular tiling (isosnub quadrille).
[0350] FIG. 49 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of two different energy relay materials
all sharing the same shape. The specific tiling shown in FIG. 49 is
a prismatic pentagonal tiling (iso(4-)pentille).
[0351] FIG. 50 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials having one of two shapes. The specific tiling shown in
FIG. 50 is a trihexagonal tiling.
[0352] FIG. 51 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials having one of three shapes The specific tiling shown in
FIG. 51 is a rhombitrihexagonal tiling.
[0353] FIG. 52 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials having one of three shapes. The specific tiling shown in
FIG. 52 is a truncated trihexagonal tiling.
[0354] FIG. 53 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials having one of two shapes. The specific tiling shown in
FIG. 53 is a snub hexagonal tiling.
[0355] FIG. 54 illustrates a cutaway view in the transverse plane
of a non-convex uniform tiling of four different energy relay
materials having one of two shapes.
[0356] FIG. 55 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials all sharing the same shape.
[0357] FIG. 56 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of three different energy relay
materials having one of two shapes
[0358] FIG. 57 illustrates a cutaway view in the transverse plane
of a convex uniform tiling of four different energy relay materials
having one of two shapes.
[0359] FIGS. 58A-58G illustrate cutaway views in the transverse
plane of a several additional convex uniform tilings of one, two,
three or more different energy relay materials.
[0360] The patterns illustrated in FIGS. 30-58G may be leveraged to
represent not only distributions of relay materials, but also may
be applied to design energy waveguide arrays that project energy
from specific locations on an energy relay surface to specific
angles in space. For example, in the visible electromagnetic energy
spectrum, the above patterns may represent varied aperture sizes,
aperture orientations, and different effective focal lengths across
a lens array to yield an ordering to the projection patterns that
is unachievable through typical regularly-spaced micro-lens array
patterns.
[0361] The tilings shown in FIGS. 30-58G are merely exemplary, and
the scope of the present disclosure should not be limited to these
illustrated tilings.
Higher-Dimensional Ordered Energy Localization
[0362] In addition to the geometries previously disclosed herein,
which have all been cross-sectional and planar, there are now
introduced additional multi-dimensional non-random patterns of
energy relay materials. By arranging certain three-dimensional
shapes comprised of various CES materials into the disclosed
non-random patterns, it becomes possible to form a non-random
energy relay using three-dimensional non-random patterns capable of
exhibiting Ordered Energy Localization effects.
[0363] The three-dimensional shapes may be configured such that
they are able to be tessellated in three-dimensions This allows for
an efficient way to arrange CES materials in three-dimensions
substantially without gaps between the materials. Furthermore, the
three-dimensional shapes may all be similar, or may be selected
from a set of shapes configured to tessellate three-dimensionally,
embodiments of which are disclosed below. FIG. 59 illustrates a
perspective view of a deconstructed assembly of ordered pyramids
6000 comprising three different CES materials 6004, 6006, and 6008.
In FIG. 59, there are three square pyramids of CES 6004, two square
pyramids of CES 6006, and one square pyramid of CES 6008. By
combining the six square pyramids shown in FIG. 59, a solid cube of
energy relay material may be formed. After being assembled, the
cube of material may exhibit localization of energy in both
transverse and longitudinal orientations. An energy propagation
pathway 6002 may be seen moving through the three square pyramidal
shapes of similar CES material 6004, which are shaded grey in FIG.
59. The three-dimensional arrangement of different CES materials
may be configured to localize energy transportation in a transverse
plane of the energy relay, and may be further configured to promote
propagation of energy in a longitudinal plane of the energy relay,
consistent with the Ordered Energy Localization principles
disclosed herein.
[0364] FIG. 60 illustrates a perspective view of a partially
deconstructed configuration of the assembly of ordered pyramids
6000 comprising CES materials 6004, 6006, and 6008. By isolating
only pyramids of CES 6004, the pathway 6002 can be seen propagating
along only materials of CES 6004, creating an energy propagation
pathway in the longitudinal direction which may exhibit energy
localization effects. Once the ordered pyramids 6000 are assembled
into the volumetric structure 6300 shown in FIG. 62, the pathway
6002 will be substantially linear and extend through only materials
of similar CES 6004. The remaining three pyramids of CES's 6006 and
6008 would then be moved into position, interlocking with the CES
6004 pyramids.
[0365] The solid assembly may be formed through any methods
comprising heat, fusing, chemical methods, time, adhesives,
molding, or any methods of forming relay materials previously
disclosed herein. The longitudinal localization with the Ordered
Energy Localization properties may be maintained if the non-random
distribution criteria are appropriately applied in consideration of
not only a cross-section, but also dimensionally, as illustrated in
FIG. 60.
[0366] FIG. 61 illustrates a perspective view of an expanded
assembly of ordered pyramids 6001 comprising three different CES
materials 6004, 6006, and 6008. The original six square pyramids of
material forming assembly 6000 from FIG. 59 and FIG. 60 can be seen
at the center of the expanded assembly 6001. Additional pyramids
6010 comprising one of the original three CBS materials can also be
seen abutting the central cube, expanding the particular CES
material type outwardly from the assembly 6000. The plurality of
square pyramidal materials forming assembly 6000, in addition to
the additional square pyramidal materials 6010, act as
substructures which, when combined into expanded assembly 6001,
form a composite shape comprising a rhombic dodecahedron. A
longitudinal cross-section of the expanded assembly 6001 can be
seen at 6012, and a transverse cross-section can be seen at
6014.
[0367] To allow for self-alignment of multiple volumetric
structures, various forms of interlocking and non-regular
dimensional geometries are disclosed. In FIG. 61, a rhombic
dodecahedron is illustrated with the appropriate ordering accounted
for to provide appropriate localization in any orientation, and
accounts for the boundary conditions that will form from the
interlocking of adjacent volumetric structures.
[0368] The fused (or otherwise processed) assemblies form a
singular dimensional geometric shape that is designed such that all
space is dimensionally filled. There still exists the possibility
for non-perfect geometry where fusing or other processes (including
liquid optical materials or other) may be applied to fill residual
gaps. However, the ability to either form, or directly fabricate
these geometric forms with the ordering considered provides the
ability to directly or indirectly produce these manufactured
ordered shapes that may be more easily produced without the
necessity for multiple additional fabrication steps (e.g. pulling,
fusing, material collection drums, etc) and may self- align with
interlocking geometries and retain the appropriate non-random
configuration regardless of individual rotation/placement of each
volumetric structure.
[0369] Throughout the medium of the volumetric structure, Ordered
Energy Localization is maintained for efficient energy propagation
when tessellated with other volumetric structures.
[0370] FIG. 62 illustrates a perspective view of an assembled
ordered volumetric structure 6300. A plurality of structure 6300
may be arranged in three-dimensional space to produce an energy
relay with non-random patterning of materials in three-dimensions
capable of inducing an energy localization effect in the
longitudinal and transverse (not illustrated) directions, such as
along propagation path 6302. The propagation path 6302 may be
substantially linear through the volumetric structure 6300 In an
embodiment, energy propagation along a substantially linear
propagation path 6302 in a longitudinal direction through
volumetric structure may experience higher transport efficiency in
the longitudinal direction due to the localization effects
described herein.
[0371] FIG. 63 illustrates a perspective view of a plurality of the
ordered volumetric structures 6300 from FIG. 62 in geometric
tessellation with boundary conditions accounted for to enable
efficient localization of energy.
[0372] Due to the interlocking design of the rhombic dodecahedron,
or any other desired dimensional configuration, the volumetric
structures may align together to fill all residual space within a
volume and appropriately account for Ordered Energy Localization.
These structures may be formed together with vibration, pressure,
vacuum, heat, liquid, gas, or any other process to interlock them
together and form a material with as few gaps as possible. Further
processing as defined in the previous sections (compression, heat,
fusing, etc.) may be additionally applied, and these structures may
be considered a dimensional preform to undergo all other disclosed
inventions. Further, there may include multiple patterns, multiple
dimensional interlocking (or non-interlacing) geometries, multiple
sizes, patterns, etc for various energy propagation and
localization design considerations It is also noted that the
resultant interlocking structures may not be a solid, and may
potentially be a liquid, or a flexible structure to enable the
ordered structures to move for various applications.
[0373] Ordered Energy Localization volumetric structures used in
the manufacture of an energy relay material may possess further
properties that aid with the manufacturing process. For example, a
non-random volumetric structure may feature a mechanism for
orienting the structure in space. A structure may be weighted on
one side, for example, or may have a magnetic moment and react to
magnetic fields to orient itself in a certain direction in space.
By carefully controlling, these properties, it may be possible for
ordered volumetric structures to self-assemble or partially
self-assemble into an energy relay material. In an embodiment, a
plurality of ordered volumetric structures may each possess a
particular electric dipole moment and exist in a common,
uncompressed medium. When an electromagnetic field is applied to
the plurality of structures, they may orient themselves such that
they may be effectively compressed into an energy relay assembly.
Other methods of orienting ordered volumetric structures besides
weighting and electrical I magnetic polarization may exist, and may
also include manual or computerized mechanical manipulation of the
structures. Certain embodiments of CES volumetric structures may
further be self-assembling, due to their particular engineered
properties. For example, they may self-orient when introduced in
bulk to one another, or a stimulus may be applied to cause an
ordering of the volumetric structures.
[0374] FIG. 64 illustrates a perspective view of an assembly 6500
comprising additional ordered volumetric structures 6300, and
demonstrates that they may be added in all dimensions to form
larger and larger assemblies in order to achieve a desired size or
configuration.
[0375] FIG. 65A illustrates a cross-sectional view in the
transverse direction of the assembly 6500 of structures 6300 from
FIG. 64. When designed with Ordered Energy Localization
appropriately, for any given cross-section of the resultant
materials after processing/forming, the same "rules" can apply as
these geometries maintain higher order of similar material for
localization in the longitudinal orientation and may exhibit
further inhibiting of energy propagation in a transverse
orientation, as shown by the dashed lines in FIG. 65A, A plurality
of non-viable propagation paths 6602 is illustrated, demonstrating
how the design of the ordered volumetric structures can inhibit
transverse energy propagation through assembly 6500.
[0376] FIG. 65B illustrates a cross-sectional view in the
longitudinal direction of an assembly 6500 of ordered volumetric
structures of energy relay material. The dotted regions, such as
region 6702, are locations that are attached in front or behind the
cross section allowing for longitudinal propagation of energy.
Ordering of the materials in FIG. 65B requires one of the
dimensions to be ordered with the appropriate orientation (e.g. the
axis cannot change), however, all other aspects of the design may
rotate freely. The squiggly solid lines going through 6500 show
possible energy propagation paths 6302 where the variation in the
engineered property is minimized, promoting energy propagation. The
propagation path 6302 may be substantially linear in a
three-dimensional sense, but is illustrated as squiggly due to the
way the cross-sectional view of FIG. 65B is presented.
[0377] FIG. 66A-C FIG. 67A-C, FIG. 68A-F, FIG. 69A-C, FIG. 70A-C,
and FIG. 71 illustrates several variations and diagrams of the
ordered volumetric structure concept, leveraging various geometries
and configurations which embody the principles disclosed herein in
order to form assemblies having non-random arrangements of
materials throughout which induce Ordered Energy Localization in
one or more planes of the assemblies
[0378] FIGS. 66A and 66C illustrate embodiments of a volumetric
structure comprising three different substructures, while FIG. 66B
illustrates an embodiment of a volumetric structure comprising two
different substructures.
[0379] FIGS. 67A-C illustrate the assemblage of several different
volumetric structures having differently shaped substructures.
[0380] FIGS. 68A-F illustrate further embodiments of volumetric
structures having different substructure components, as well as
wire models illustrating the internal structure of certain
volumetric structure embodiments.
[0381] FIG. 69A illustrates an embodiment of a plurality of
volumetric structures arranged in an assembly, while FIGS. 69B and
69C illustrates cross sectional views of the assembly shown in FIG.
69A along the longitudinal and transverse directions,
respectively.
[0382] FIG. 70A illustrates an embodiment of a plurality of
volumetric structures arranged in an assembly, while FIGS. 70B and
70C illustrates cross sectional views of the assembly shown in FIG.
70A along the longitudinal and transverse directions,
respectively.
[0383] FIG. 71 illustrates an embodiment of an assembly of two
different volumetric structures, wherein a first volumetric
structure is configured to tessellate at the vertices of a
plurality of larger second volumetric structures.
[0384] While various embodiments in accordance with the principles
disclosed herein have been described above, it should be understood
that they have been presented by way of example only, and are not
limiting. Thus, the breadth and scope of the invention(s) should
not be limited by any of the above-described exemplary embodiments,
but should be defined only in accordance with the claims and their
equivalents issuing from this disclosure. Furthermore, the above
advantages and features are provided in described embodiments, but
shall not limit the application of such issued claims to processes
and structures accomplishing any or all of the above
advantages.
[0385] It will be understood that the principal features of this
disclosure can be employed in various embodiments without departing
from the scope of the disclosure. Those skilled in the art will
recognize, or be able to ascertain using no more than routine
experimentation, numerous equivalents to the specific procedures
described herein. Such equivalents are considered to be within the
scope of this disclosure and are covered by the claims.
[0386] Additionally, the section headings herein are provided for
consistency with the suggestions under 37 CFR 1.77 or otherwise to
provide organizational cues. These headings shall not limit or
characterize the invention(s) set out in any claims that may issue
from this disclosure. Specifically, and by way of example, although
the headings refer to a "Field of Invention," such claims should
not be limited by the language under this heading to describe the
so-called technical field. Further, a description of technology in
the "Background of the Invention" section is not to be construed as
an admission that technology is prior art to any invention(s) in
this disclosure. Neither is the "Summary" to be considered a
characterization of the invention(s) set forth in issued claims.
Furthermore, any reference in this disclosure to "invention" in the
singular should not be used to argue that there is only a single
point of novelty in this disclosure. Multiple inventions may be set
forth according to the limitations of the multiple claims issuing
from this disclosure, and such claims accordingly define the
invention(s), and their equivalents, that are protected thereby. In
all instances, the scope of such claims shall be considered on
their own merits in light of this disclosure, but should not be
constrained by the headings set forth herein.
[0387] The use of the word "a" or "an" when used in conjunction
with the term "comprising" in the claims and/or the specification
may mean "one," but it is also consistent with the meaning of "one
or more," "at least one," and "one or more than one." The use of
the term "or" in the claims is used to mean "and/or" unless
explicitly indicated to refer to alternatives only or the
alternatives are mutually exclusive, although the disclosure
supports a definition that refers to only alternatives and
"and/or." Throughout this application, the term "about" is used to
indicate that a value includes the inherent variation of error for
the device, the method being employed to determine the value, or
the variation that exists among the study subjects. In general, but
subject to the preceding discussion, a value herein that is
modified by a word of approximation such as "about" or
"substantially" may vary from the stated value by at least .+-.1,
2, 3, 4, 5, 6, 7, 10, 12 or 15%.
[0388] As used in this specification and claim(s), the words
"comprising" (and any form of containing, such as "contains" and
"contain") are inclusive or open-ended and do not exclude
additional, unrecited elements or method steps.
[0389] Words of comparison, measurement, and timing such as "at the
time," "equivalent," "during," "complete," and the like should be
understood to mean "substantially at the time," "substantially
equivalent," "substantially during," "substantially complete,"
etc., where "substantially" means that such comparisons,
measurements, and timings are practicable to accomplish the
implicitly or expressly stated desired result. Words relating to
relative position of elements such as "near," "proximate to," and
"adjacent to" shall mean sufficiently close to have a material
effect upon the respective system element interactions. Other words
of approximation similarly refer to a condition that when so
modified is understood to not necessarily be absolute or perfect
but would be considered close enough to those of ordinary skill in
the art to warrant designating the condition as being present. The
extent to which the description may vary will depend on how great a
change can be instituted and still have one of ordinary skilled in
the art recognize the modified feature as still having the required
characteristics and capabilities of the unmodified feature.
[0390] The term "or combinations thereof" as used herein refers to
all permutations and combinations of the listed items preceding the
term. For example, "A, B, C, or combinations thereof is intended to
include at least one of: A, B, C, AB, AC, BC, or ABC, and if order
is important in a particular context, also BA, CA, CB, CBA, BCA,
ACB, BAC, or CAB. Continuing with this example, expressly included
are combinations that contain repeats of one or more item or term,
such as BB, AAA, AB, BBC, AAABCCCC, CBBAAA, CABABB, and so forth.
The skilled artisan will understand that typically there is no
limit on the number of items or terms in any combination, unless
otherwise apparent from the context.
[0391] All of the compositions and/or methods disclosed and claimed
herein can be made and executed without undue experimentation in
light of the present disclosure. While the compositions and methods
of this disclosure have been described in terms of preferred
embodiments, it will be apparent to those of skill in the art that
variations may be applied to the compositions and/or methods and in
the steps or in the sequence of steps of the method described
herein without departing from the concept, spirit and scope of the
disclosure. All such similar substitutes and modifications apparent
to those skilled in the art are deemed to be within the spirit,
scope and concept of the disclosure as defined by the appended
claims.
* * * * *
References