U.S. patent application number 11/977918 was filed with the patent office on 2008-06-12 for production of optical pulses at a desired wavelength utilizing higher-order-mode (hom) fiber.
This patent application is currently assigned to Furukawa Electric North America, Inc.. Invention is credited to Siddharth Ramachandran.
Application Number | 20080138011 11/977918 |
Document ID | / |
Family ID | 39325456 |
Filed Date | 2008-06-12 |
United States Patent
Application |
20080138011 |
Kind Code |
A1 |
Ramachandran; Siddharth |
June 12, 2008 |
Production of optical pulses at a desired wavelength utilizing
higher-order-mode (HOM) fiber
Abstract
An apparatus and method for producing optical pulses of a
desired wavelength utilizes a section of higher-order-mode (HOM)
fiber to receive input optical pulses at a first wavelength, and
thereafter produce output optical pulses at the desired wavelength
through soliton self-frequency shifting (SSFS) or Cherenkov
radiation. The HOM fiber is configured to exhibit a large positive
dispersion and effective area at wavelengths less than 1300 nm.
Inventors: |
Ramachandran; Siddharth;
(Hoboken, NJ) |
Correspondence
Address: |
Wendy W. Koba
P. O. Box 556
Springtown
PA
18081
US
|
Assignee: |
Furukawa Electric North America,
Inc.
|
Family ID: |
39325456 |
Appl. No.: |
11/977918 |
Filed: |
October 26, 2007 |
Related U.S. Patent Documents
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Application
Number |
Filing Date |
Patent Number |
|
|
60863082 |
Oct 26, 2006 |
|
|
|
60896357 |
Mar 22, 2007 |
|
|
|
Current U.S.
Class: |
385/27 |
Current CPC
Class: |
G02B 6/02214 20130101;
G02F 2203/17 20130101; G01N 2201/0696 20130101; G02F 2203/54
20130101; G02B 6/02009 20130101; G01N 21/6408 20130101; G01N
2021/653 20130101; G02F 1/3513 20130101; G01N 21/6458 20130101;
G02B 6/03644 20130101; G02B 21/06 20130101; G02B 21/16 20130101;
G02F 2203/26 20130101 |
Class at
Publication: |
385/27 |
International
Class: |
G02F 1/035 20060101
G02F001/035 |
Claims
1. An apparatus for providing optical output pulses of a desired
output wavelength from an input optical signal operating at a
different wavelength, the apparatus comprising: an input mode
converter for receiving the input signal and converting the spatial
mode of the input signal into a higher-order-mode (HOM) signal; and
a section of higher-order-mode (HOM) fiber coupled to the output of
the input mode converter for receiving the input optical signal and
thereafter produce as an output an optical signal at the desired
output wavelength, wherein the section of HOM fiber is configured
to exhibit a positive dispersion and large effective area
sufficient to produce optical output pulses at the desired output
wavelength, the positive dispersion also sufficient to perform
dispersion compensation on the input optical signal, reducing the
presence of chirp prior to producing the optical output signal.
Description
CROSS-REFERENCE TO RELATED APPLICATIONS
[0001] This application claims the benefit of U.S. Provisional
Applications 60/863,082, filed Oct. 26, 2006, and 60/896,357, filed
Mar. 22, 2007, both provisional applications herein incorporated by
reference.
FIELD OF THE INVENTION
[0002] The present invention relates to the production of optical
pulses at a desired wavelength using higher-order-mode fibers and,
more particular, to the utilizing of HOM fiber with a positive
dispersion and large effective area sufficient to generate high
energy, short pulses at wavelengths below 1300 nm, considered
useful for numerous applications.
BACKGROUND OF THE INVENTION
[0003] Mode-locked femtosecond fiber lasers at 1.03 .mu.m and 1.55
.mu.m have been improving significantly in the last several years,
particularly with respect to the achievable output pulse energy
(increasing from 1 to .about.10 nJ). Even higher pulse energy can
be achieved in femtosecond fiber sources based on fiber chirped
pulse amplification. However, femtosecond fiber sources, including
lasers, have seen only limited applications in multiphoton imaging.
The main reason is that they offer very limited wavelength
tunability (tens of nanometer at best), severely restricting the
applicability of these lasers, making them only suitable for some
special purposes. In addition, existing femtosecond fiber sources
at high pulse energy (>1 nJ) are not truly "all fiber," i.e.,
the output is not delivered through a single mode optical fiber.
Thus, additional setup (typically involving free-space optics) must
be used to deliver the pulses to imaging apparatus, partially
negating the advantages of the fiber source.
[0004] Higher-order-mode (HOM) fiber has attracted significant
interest recently, due to the freedom it provides to design unique
dispersion characteristics in all-solid (i.e., non-"holey") silica
fiber.
[0005] The `wavelength tunability` of femtosecond optical sources
has been extensively studied within the phenomenon of soliton
self-frequency shift (SSFS), in which Raman self-pumping
continuously transfers energy from higher to lower frequencies
within an optical fiber. SSFS has been exploited over the last
decade in order to fabricate widely frequency-tunable, femtosecond
pulse sources with fiber delivery. Since anomalous (positive)
dispersion (.beta..sub.2<0 or D>0) is required for the
generation and maintenance of solitons, early sources that made use
of SSFS for wavelength tuning were restricted to wavelength regimes
>1300 nm, where conventional silica fibers naturally exhibit
positive dispersion.
[0006] In addition, Cherenkov radiation has been demonstrated in
microstructured fibers pumped near their zero-dispersion
wavelength. In general, an ideal soliton requires a perfect balance
between dispersion and nonlinearity so that energy becomes
endlessly confined to a discrete packet--both spectrally and
temporally. When perturbations are introduced, this stable solution
breaks down, allowing the transfer of energy between the soliton
and the disturbance. Such energy transfer occurs most efficiently
in fibers for solitons near the zero-dispersion wavelength. The
spectral regime to which energy couples most efficiently has been
dubbed "Cherenkov radiation" due to an analogous phase matching
condition in particle physics. The phenomenon of Cherenkov
radiation in fibers is often associated with SSFS as it allows a
convenient mechanism for more efficient energy transfer between the
soliton and the Cherenkov band. In particular, when the third-order
dispersion is negative, SSFS will shift the center frequency of the
soliton toward the zero-dispersion wavelength, resulting in
efficient energy transfer into the Cherenkov radiation in the
normal dispersion regime. The problem of tunability remains an
issue for these arrangements capable of creating Cherenkov
radiation.
[0007] The recent development of index-guided photonic crystal
fibers (PCF) and air-core photonic band-gap fibers (PBGF) have
relaxed this tunability requirement somewhat, with the ability to
design large positive waveguide dispersion and therefore large
positive net dispersion in optical fibers at nearly any desired
wavelength. This development has allowed for a number of
demonstrations of tunable SSFS sources supporting input wavelengths
as low as 800 nm in the anomalous dispersion regime.
[0008] Unfortunately, the pulse energy required to support stable
Raman-shifted solitons below 1300 nm in index-guided PCFs and
air-core PBGFs is either on the very low side, a fraction of a nJ
for silica-core PCFs, or on the very high side, greater than 100 nJ
(requiring an input from an amplified optical system) for air-core
PBGFs. The low-energy limit is due to high nonlinearity in the PCF.
In order to generate large positive waveguide dispersion to
overcome the negative dispersion of the material, the effective
area of the fiber core must be reduced. For positive total
dispersion at wavelengths less than 1300 nm, this corresponds to an
effective area, A.sub.eff of 2-5 .mu.m.sup.2, approximately an
order of magnitude less than conventional single mode fiber (SMF).
The high-energy limit is due to low nonlinearity in the air-core
PBGF where the nonlinear index, n.sub.2, of air is roughly 1000
times less than that of silica. In fact, most microstructure fibers
and tapered fibers with positive dispersion are intentionally
designed to demonstrate nonlinear optical effects at the lowest
possible pulse energy, while air-core PBGFs are often used for
applications that require linear propagation, such as pulse
delivery.
[0009] For these reasons, previous work using SSFS below 1300 nm
was performed at soliton energies either too low or too high (by at
least an order of magnitude) for many practical applications, such
as multiphoton imaging, where bulk solid state lasers are currently
the mainstay for the excitation source.
[0010] The present invention is directed to overcoming these and
other deficiencies in the state of the art.
SUMMARY OF THE INVENTION
[0011] The present invention relates to a higher-order-mode (HOM)
fiber module operable to generate energetic, short output pulses of
light at wavelengths amenable to various applications, while also
providing a degree of wavelength tunability. In particular, the
inventive HOM module includes a section of HOM fiber with anomalous
(positive) dispersion and a large effective area, characteristics
that create a soliton self-frequency shift sufficient to move an
incoming stream of pulses at one wavelength to a stream of pulses
at a second, desired wavelength associated with a specific
application. These dispersion characteristics have also been found
to allow for the creation of soliton Cherenkov radiation at
wavelengths below 1300 nm, with usable energy in the range of 1-10
nJ.
[0012] Additionally, the HOM fiber module of the present invention
provides the ability to compensate the dispersion of an optical
pulse that is chirped at its input. Therefore, the HOM module
provides a sufficient amount of dispersion to provide a
transform-limited pulse at a predetermined location within the HOM
fiber such that the pulse undergoes frequency shift by either of
the SSFS or Cherenkov effects described above.
[0013] In accordance with the present invention, the HOM module
comprises an input mode converter (for converting from the
conventional LP.sub.01 mode to a higher-order mode), a section of
HOM fiber coupled to the input mode converter for generating the
desired self-frequency shift to a desired output wavelength, and
(when necessary) an output mode converter (for converting the
wavelength-shifted pulses back to the conventional LP.sub.01 mode
or any other desired spatial profile).
[0014] In one embodiment, in-fiber long period gratings (LPGs) are
used for the input and output mode converters, thus minimizing the
amount of optical loss present at the junction between the mode
converters and the HOM fiber.
[0015] The HOM fiber portion of the module is configured in one
embodiment to include a wide, low index ring cladding area,
separated from a high index core region by a trench. The index
values and dimensions of the ring, trench and core are selected to
provide the desired amount of anomalous dispersion and the size of
the effective area. One set of acceptable values for use in
accordance with the present invention is a dispersion on the order
of +60 ps/nm-km and an effective area of approximately 44
.mu.m.sup.2. Another set of acceptable values are defined by the
wavelength range within which the dispersion is anomalous
(positive), this range being between 10 and 300 nm. Yet another set
of acceptable values are defined by the maximum achievable
dispersion in the wavelength range of interest, this value ranging
from 0 to +3000 ps/nm-km. With respect to the effective area,
acceptable values of A.sub.eff for the purposes of the present
invention range from about 5 to 4000 .mu.m.sup.2.
[0016] The present invention also relates to a method of producing
output optical pulses having a desired wavelength. The method
includes generating input optical pulses and delivering the input
pulses to an HOM fiber module to alter the wavelength of the input
optical pulses from the first wavelength to the second, desired
wavelength by soliton self-frequency shifting (SSFS) within the HOM
fiber module.
[0017] In one embodiment, the method can further include converting
the spatial mode of the input signal into a higher-order mode at
the input of the HOM fiber module, and thereafter reconverting the
output of the HOM fiber module back to the original spatial mode or
to any other desired mode profile.
[0018] It is an advantage of the present invention that the HOM
module is capable of achieving these characteristics at wavelengths
below 1300 nm, heretofore not accomplished in an all-silica
(non-holey) fiber.
[0019] Further, the HOM module of the present invention is designed
such that the difference between the effective index n.sub.eff of
the mode in which signal propagation is desired is separated from
that of any other guided mode of the fiber by greater than
10.sup.-5, thus providing for enhanced modal stability of the
signal.
[0020] In one embodiment, the input comprises a single mode fiber
(SMF) spliced to the HOM fiber before mode conversion, with the
properties of the splice ensuring that signal propagation in the
HOM fiber occurs predominantly in the LP.sub.01 mode, further
enhancing modal stability for the signal.
[0021] Other and further aspects and embodiments of the present
invention will become apparent during the course of the following
discussion and by reference to the accompanying drawings.
BRIEF DESCRIPTION OF THE DRAWINGS
[0022] FIG. 1 shows a comparison of modal behavior between
conventional LP.sub.01 (single mode fiber, top--schematic) and
LP.sub.02 (bottom--simulated) modes. FIG. 1A: Near-field images.
FIG. 1B: Mode profiles at various wavelengths. Conventional mode
transitions from high to low index; designed HOM shows opposite
evolution. Grey background denotes index profile of the fiber. FIG.
1C: Resultant total dispersion (D.sub.total, solid). Also shown are
silica material dispersion (D.sub.m, dashed) and zero-dispersion
line (dotted). Arrows show contribution of waveguide dispersion
(D.sub.w) to total dispersion.
[0023] FIG. 2 is an index profile of the HOM fiber.
[0024] FIG. 3 shows an experimentally measured near-field image
LP.sub.02 mode with an effective area A.sub.eff.about.44
.mu.m.sup.2.
[0025] FIG. 4 is a refractive index profile for an HOM fiber of the
present invention, indicating the set of six different parameters
than may be adjusted to provide the desired positive dispersion and
large effective area;
[0026] FIG. 5 is a graph of the simulated total dispersion vs.
wavelength curves for a variety of profiles, forming by adjusting
one or more of the parameters shown in FIG. 4;
[0027] FIG. 6 shows index vs. radial position of the designed and
fabricated fiber measured at several perform positions;
[0028] FIG. 7 illustrates an exemplary HOM module for converting an
input wavelength to a desired output wavelength in accordance with
the present invention; and
[0029] FIG. 8 is a graph of the transmission bandwidth of the HOM
module of FIG. 7.
DETAILED DESCRIPTION
[0030] The present invention is directed to an arrangement for
producing high energy, femtosecond output light pulses over a
tunable wavelength range for wavelengths less than 1300 nm, using a
relatively new type of fiber--higher-order-mode (HOM) fiber--that
yields strong anomalous dispersion in the output wavelength range.
Advantageously, the HOM fiber is an all-solid silica fiber
structure (i.e., does not include air gaps or other
microstructures) where the guidance mechanism is conventional index
guiding. This represents a major breakthrough in fiber design,
inasmuch as it was not previously considered possible to obtain
anomalous dispersion at wavelengths shorter than 1300 nm in an
all-silica optical fiber.
[0031] In accordance with the present invention, a
higher-order-mode (HOM) fiber has been developed that is capable of
achieving a strong positive (anomalous) waveguide dispersion
(D.sub.w) for the LP.sub.02 mode at wavelengths less than 1300 nm.
In particular, an HOM fiber has been formed that exhibits +60
ps/km-nm dispersion for the LP.sub.02 mode in the 1060-nm
wavelength range. Combined with in-fiber gratings, this result has
enabled the construction of an HOM anomalous dispersion element
(hereinafter referred to as an "HOM module") with low loss
(.about.1%), and an effective area A.sub.eff (e.g., .about.44
.mu.m.sup.2) that is ten times larger than conventional photonic
crystal fibers (PCFs). Significantly, the guidance mechanism is
index-guiding, as in standard fibers. Therefore, the inventive HOM
fiber retains the desirable properties of such fibers, including
low loss, bend resistance, and lengthwise invariance (in terms of
loss, dispersion, etc.), making such a fiber attractive for a
variety of applications. By utilizing the phenomenon of SSFS, for
example, an input optical signal at a first, input wavelength can
be shifted to a second, output wavelength after propagating through
the HOM fiber of the present invention. Additionally, an HOM fiber
module in accordance with the present invention can be used as a
femtosecond fiber source at 1300 nm using soliton Cherenkov
radiation in the HOM fiber to efficiently converter a 1030 nm
femtosecond fiber source to the desired 1300 nm wavelength.
[0032] FIG. 1 provides an intuitive picture for the dispersive
behavior of the guided modes by comparing the properties of the
LP.sub.01 mode typically associated with convention single mode
fiber, and the LP.sub.02 mode as supported within the inventive HOM
fiber. In particular, FIG. 1(a) shows modal images for the
fundamental LP.sub.01 mode (top) and the higher order LP.sub.02
mode (bottom). FIG. 1(b) shows the evolution of these mode profiles
as a function of wavelength, in particular at 800 nm, 1040 nm and
1250 nm. The gray background in FIG. 1(b) is used to illustrate the
refractive index profile of the fiber. As shown in the top set of
modal images, the LP.sub.01 mode monotonically transitions from the
high index central core to the surrounding lower index regions as
the wavelength increases from 800 nm to 1040 nm, and finally to
1250 nm. Thus, the fraction of power traveling in lower index
regions increases with increasing wavelength. Since the velocity of
light increases as the refractive index of the medium drops, the
LP.sub.01 mode experiences smaller group delays as wavelength
increases.
[0033] Waveguide dispersion (D.sub.w), which is the derivative of
group delay with respect to wavelength, is thus negative for the
LP.sub.01 mode. Therefore, in wavelength ranges in which material
dispersion (D.sub.m) is itself negative, the conventional LP.sub.01
mode can achieve only negative total dispersion values, where
"total dispersion" D.sub.total is defined as the sum of waveguide
dispersion and material dispersion. This is illustrated in FIG.
1(c) (top), which plots material dispersion D.sub.m as well as
total dispersion D.sub.total of the LP.sub.01 mode in the 1060-nm
wavelength range.
[0034] In contrast and in accordance with the present invention,
the higher-order LP.sub.02 mode is designed to have the mode
evolution shown in FIG. 1(b) (bottom). Again, the gray background
is used to illustrate the refractive index profile for the fiber
supporting this mode. As shown, when the wavelength increases from
800 nm to 1040 nm, and then to 1250 nm, the mode evolves in the
opposite direction as the conventional fiber described above. That
is, with reference to the diagrams along the bottom of FIG. 1(b),
the mode transitions from the lower index regions to the higher
index core as the wavelength increases from 800 nm to 1250 nm. The
LP.sub.02 mode thus experiences larger group delays as the
wavelength increases.
[0035] Therefore, the LP.sub.02 mode will exhibit a wavelength
dispersion D.sub.w that is positive over this entire range as the
mode transitions from the cladding to the core. This is illustrated
in FIG. 1(c) (bottom), which shows the wavelength range where this
transition occurs. Indeed, very large positive values of D.sub.w
may be obtained, vastly exceeding the magnitude of the material
dispersion D.sub.m (which, as mentioned above, is negative over the
same range). As a result of the substantial difference in magnitude
between the waveguide dispersion and the material dispersion, the
LP.sub.02 mode that propagates along an HOM fiber will exhibit a
total dispersion D.sub.total that is positive (anomalous
dispersion).
[0036] It is to be noted that this evolution is governed by the
"attractive" potential of various high index regions of the
waveguide, and can thus be modified to achieve a variety of
dispersion magnitudes, slopes and bandwidths. This yields a
generalized recipe to obtain positive dispersion in a variety of
wavelength ranges.
[0037] FIG. 2 shows the index profile of an exemplary HOM fiber
formed in accordance with the present invention to provide this
positive dispersion value, where a broad, low index ring 10 serves
to substantially guide the LP.sub.02 mode at shorter wavelengths.
As described above, the mode will then transition to a small, high
index core 12 as wavelength increases (as described above in
associated with FIG. 1(b), bottom). The experimentally recorded
near-field image of this LP.sub.02 mode is shown in FIG. 3, where
measurements have shown that this exemplary HOM fiber will exhibit
an effective area A.sub.eff of approximately 44 .mu.m.sup.2 at 1080
nm.
[0038] The well-known physics of SSFS dictates that the wavelength
tuning range is limited by the range within which the dispersion of
the fiber mode is anomalous (positive). In other words, for a
tuning range of .lamda..sub.tuning, the dispersion-zero crossings
of the dispersion curves must also be separated by at least the
same amount .lamda..sub.tuning. For many applications, it is
desirable that this range be at least 300 nm. More broadly, a
tuning range anywhere between 10 nm and 2000 nm may be considered
useful. In general, the range of such tuning, and correspondingly
the energy carried by the shifted soliton, scale with D*A.sub.eff
for the wavelength and the mode in which the soliton signal
resides.
[0039] The well-known physics of generation of Cherenkov radiation,
on the other hand, requires the existence of a zero-dispersion
crossing. If an optical soliton exists in its vicinity in the
anomalous dispersion wavelength range, then Cherenkov radiation is
generated in the spectral region on the other side of this
zero-dispersion wavelength--i.e., in the region where the
dispersion is normal. The exact spectral location of the generated
wave is further governed by the dispersion slope of the fiber mode.
Again, the energy of the converted radiation scales as D*A.sub.eff
for the mode in which the optical radiation resides.
[0040] In accordance with the present invention, therefore, the
fiber design problem reduces to one of configuring an HOM fiber
with the required value of D*A.sub.eff at the output wavelengths of
the dispersion curve. The general fiber index profile for achieving
D.sub.w>0 for the LP.sub.02 mode is shown in FIG. 4. While FIG.
1 provides the physical intuition for D.sub.w>0 in an HOM fiber,
achieving target dispersion D and effective area A.sub.eff values
requires a numerical optimization of the six parameters shown in
FIG. 4, namely, the indices and dimensions of ring 10, trench 14
and core 12. There are two ways to achieve a large dispersion (D)
value; one is by increasing refractive index values
.DELTA.N.sub.core and .DELTA.N.sub.ring, but this may be at the
expense of the effective area A.sub.eff. The second approach is by
increasing r.sub.ring as well as r.sub.trench. Increasing
r.sub.ring will enhance the mode size, while increasing
r.sub.trench will provide for greater effective index changes as
the mode transitions, resulting in larger dispersion.
[0041] The key to achieving the desired properties is a mode that
can transition (as a function of wavelength) through well-defined,
sharp index steps in the fiber's index profile. Therefore, the
fabrication process must be capable of producing both large index
steps as well as steep index gradients, as shown in FIG. 4. The
ideal means to achieve this is the Modified Chemical Vapor
Deposition (MCVD) process, which affords the best layer-to-layer
control of refractive index of all established fabrication
technologies for fibers.
[0042] Dimensional scaling of the preform can also be used to shift
the waveguide dispersion D.sub.w in order to achieve the
D*A.sub.eff necessary for the desired output wavelength ranges.
This is known in the art of optical waveguides as complementary
scaling, which states that wavelength and dimension play a
complementary role in the wave equation and, therefore, are
interchangeable. However, it is to be noted that this is true only
for the waveguide component of dispersion, D.sub.w. Changes in the
material dispersion, D.sub.m, are not complementary and, as a
result, the total dispersion D is not wavelength scalable. In other
words, to move the dispersion curve that provides satisfactory
operation in the 1030 nm wavelength range to the 775 nm spectral
range, the dispersion D.sub.w needs to be high enough to counteract
the strong negative trend for D.sub.m as wavelength decreases.
Therefore, achieving similar properties at lower wavelengths needs
the use of both dimensional scaling and the above-described
dispersion-increasing configurations.
[0043] To achieve the higher 5- to 10-nJ output pulse energies, the
design of an inventive HOM in this range requires a D*A.sub.eff
value that is five to ten times greater than that associated with
providing output pulses in the 1-2 nJ range. The main difficulty is
to simultaneously achieve the large values of D*A.sub.eff while
maintaining .lamda..sub.tuning at approximately 300 nm. FIG. 5
illustrates the simulated total D vs. wavelength curves for a
variety of acceptable profiles, where the material dispersion value
of silica, D.sub.m, is also shown. An important constraint applied
in generating the profiles shown in FIG. 5 is that the effective
index n.sub.eff of the HOM in which signal propagation is desired
(i.e., the mode for which the dispersion curves are shown), is
vastly separated from the n.sub.eff of any other mode that may be
guided in the fiber. The large separation in n.sub.eff between
modes ensures that the signal that is introduced in the HOM
predominantly propagates only in that mode and does not randomly
coupled to any other mode. Such random coupling may occur due to
bends and other environmental perturbations, and typically the
n.sub.eff difference between the modes should be greater than
10.sup.-5 to avoid this type of coupling.
[0044] FIG. 6 shows an example of the designed and fabricated index
profiles for an HOM fiber formed in accordance with the present
invention that yields a large positive dispersion in the 1060-nm
wavelength range. The preform profiles closely match the design
profile in both index values and the steep index gradients. Also
shown in FIG. 6 are index profiles from different sections of the
preform, showing the uniformity of the MCVD process in fabrication
an HOM fiber whose properties are invariant as a function of fiber
length. This robust fiber fabrication process is critical to
provide a constant zero-dispersion wavelength in an HOM fiber for
SSFS, and is a significant advantage of the inventive HOM fiber
over the prior art bandgap fibers.
[0045] FIG. 7 illustrates an exemplary wavelength converting HOM
module 20 formed in accordance with the present invention,
including a section of HOM fiber 22 having the characteristics as
described above in association with the above Figures to provide
high energy femtosecond pulses at wavelengths less than 1300 nm. In
accordance with the present invention, HOM module 20 utilizes SSFS,
or a combination of SSFS with Cherenkov radiation, to shift the
wavelength of an incoming signal to an output wavelength selected
for a specific application (the output wavelength less than 1300
nm).
[0046] Further, in accordance with the present invention, HOM
module 20 provides for dispersion compensation prior to wavelength
shifting, such that chirped incoming pulses are "de-chirped" with
the required amount of dispersion within HOM fiber 22. Thereafter,
the de-chirped pulses undergo SSFS and/or Cherenkov radiation to
generate the output pulses at the desired wavelength.
[0047] For proper operation of HOM module 20, an input mode
converter 24 is needed to convert an incoming Gaussian-shaped
LP.sub.01 mode signal into the desired LP.sub.02 mode. One
preferred method for providing the mode conversion is with one or
more in-fiber long period gratings (LPGs). This type of grating can
be permanently formed in fibers by lithographically transferring a
grating pattern from an amplitude mask to the fiber using a UV
laser. For efficient grating formation, the fiber is typically
saturated with deuterium, which acts as a catalyst for the process,
resulting in UV-induced index changes in the germanosilicate glass.
In another embodiment, the input mode converter may convert any
arbitrary incoming spatial profile of light into the HOM that is
desired to be propagated in the HOM fiber. For some applications,
an output mode converter may be used to transform the
higher-order-mode into another spatial mode. In the illustration of
FIG. 7, an output mode converter 26 is shown as disposed at the
output of HOM fiber 22 to transition the wavelength-shifted
LP.sub.02 mode signal back into a conventional LP.sub.01 signal.
More generally, an output mode converter can be used to convert the
HOM into any desired spatial profile of light.
[0048] Alternatively, in some applications, it may be desired that
no output mode converter is used, inasmuch as the
wavelength-shifted radiation already exhibits the desired spatial
mode profile. In these cases, therefore, the need for an output
mode converted is obviated. In yet another embodiment, the HOM
module may comprise a plurality of separate HOM fiber sections
coupled together in series, using fiber splicing techniques or
another mode converter to join together the adjacent sections. If
they are joined by splices, the HOM in the first fiber is expected
to adiabatically transition to the same mode order in the second
fiber. If they are joined together by means of a mode converter, on
the other hand, the mode order from the first fiber to the second
fiber can also be changed. Such arrangements may be desired in
applications where, in order to increase the .lamda..sub.tuning for
SSFS, two concatenated sections will provide a much larger tuning
range than that associated within only a single HOM fiber section.
Alternatively, such arrangements may allow for changing the
dispersion slope of the zero-dispersion crossing, as may be
required for adjusting the wavelength at which Cherenkov radiation
occurs. In the case where a mode converter is used to join two
sections of HOM fiber, it is known from the prior art that such
mode converters may be tunable, with the capability of switching
light from one incoming HOM fiber to any of a set of outgoing HOM
fibers (including, of course, reflecting back into the incoming HOM
fiber). If a tunable mode converted is employed in this case, the
resulting HOM module will additional provide a means to dynamically
change the effective optical path length of the fiber and, by
extension, its dispersion, dispersion-zero and/or dispersion slope
(as may be desired for different SSFS and Cherenkov applications).
Thus, a module with adjustable HOM fiber lengths may be designed
and is considered to fall within the scope of the present
invention. Indeed, in embodiments that utilize a multiple number of
concatenated HOM fiber sections, tunable mode converters may be
used at the interface between any two sections.
[0049] LPGs offer coupling between co-propagating modes of a fiber
and have found a variety of applications as spectral shaping
elements and mode-conversion devices. However, LPGs are normally
narrow-band devices, and while they offer strong mode coupling
(>99%), the spectral width of such coupling was typically
limited to a range of 0.5 to 2 nm, too narrow for a femtosecond
pulse. To overcome the spectral limitation, reports have shown that
the LPG bandwidth can be extended to greater than 60 nm in some
cases, if the fiber waveguide is configured to yield two modes with
identical group velocities. It is to be noted that the large
bandwidth of HOM module 20, as shown in FIG. 8 (i.e., approximately
51 nm), is uniquely enabled by the dispersive design of the fiber,
which enables matching the group velocities of the two coupled
modes. It is a significant aspect of the present invention that the
utilization of the LPGs allows for the formation of an "all-fiber"
tunable femtosecond pulse source.
[0050] Referring again to FIG. 7, HOM module 20 is spliced to an
input single mode fiber 30 at input long period grating 24. The
splice between single mode fiber 30 and input LPG 24 is configured
such that the signal predominantly resides in the LP.sub.01 mode,
thus ensuring mode conversion with high efficiency and also
minimizing signal propagating in any mode other than the desired
mode. This enables a device to be constructed in which the signal
experiences high modal stability, even in the presence of bends and
other environmental perturbations. Indeed, input single mode fiber
30 may be the output fiber of a laser source (not shown), avoiding
any spurious mode coupling, especially in systems where the chirped
output of the laser source needs to be directly coupled into the
HOM fiber module.
[0051] As mentioned above, output long period grating 26 is used to
convert the beam back to a Gaussian output. Dispersion-matching
configurations are preferably used that yield ultra-large
bandwidths, ensuring that the output pulse is always converted back
to a Gaussian profile, within a tuning range of approximately 250
nm. An important consideration for output grating 26 is its length.
Since the energetic output pulses are solitons for the specific
combination of dispersion D and effective area A.sub.eff of the
LP.sub.02 mode, nonlinear distortions may occur when the signal
converts to the LP.sub.01 mode (having a smaller A.sub.eff) at the
output. However, the length over which the signal travels in the
LP.sub.01 mode, and hence the distortion it accumulates, can be
minimized. The high index core of HOM fiber 22 enables the use of
an output long period grating 26 of lengths less than 5 mm, which
implies that light resides in the LP.sub.01 mode for less than 2.5
mm and therefore largely avoids nonlinear distortions. It is to be
noted that the requirement for "short" LPGs actually complements
the need for broad bandwidth operation, since the conversion
bandwidth is typically inversely proportional to the grating
length.
[0052] Although preferred embodiments have been depicted and
described in detail herein, it will be apparent to those skilled in
the relevant art that various modifications, additions,
substitutions and the like can be made without departing from the
spirit of the invention and these are therefore considered to be
within the scope of the invention as defined in the claims which
follow.
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