U.S. patent number 3,585,579 [Application Number 04/840,163] was granted by the patent office on 1971-06-15 for side looking sonar transducer.
This patent grant is currently assigned to Westinghouse Electric Corporation. Invention is credited to John A. Dorr, John H. Thompson.
United States Patent |
3,585,579 |
Dorr , et al. |
June 15, 1971 |
SIDE LOOKING SONAR TRANSDUCER
Abstract
A side looking sonar transducer having an elongated active
radiating, or receiving, surface which is wider at the ends of the
transducer than at the middle. This arrangement provides an energy
distribution which allows for a greater depth of focus.
Inventors: |
Dorr; John A. (Baltimore,
MD), Thompson; John H. (Pittsburgh, PA) |
Assignee: |
Westinghouse Electric
Corporation (Pittsburgh, PA)
|
Family
ID: |
25281608 |
Appl.
No.: |
04/840,163 |
Filed: |
July 9, 1969 |
Current U.S.
Class: |
367/153 |
Current CPC
Class: |
B06B
1/0622 (20130101); G10K 11/32 (20130101); G01S
15/8902 (20130101) |
Current International
Class: |
G10K
11/32 (20060101); B06B 1/06 (20060101); G01S
15/00 (20060101); G01S 15/89 (20060101); G10K
11/00 (20060101); H04r 017/00 () |
Field of
Search: |
;340/9,10 ;310/9.6 |
References Cited
[Referenced By]
U.S. Patent Documents
Primary Examiner: Farley; Richard A.
Assistant Examiner: Ribando; Brian L.
Claims
We claim as our invention:
1. Side looking sonar apparatus comprising:
a. a transducer means having an elongated radiating surface
extending between end points for radiating acoustic energy;
b. the width of said radiating surface being nonuniform;
c. said transducer means being for travel through a body of
water;
d. electrical means;
e. said transducer means being responsive to said electrical means
for radiating the said acoustic energy toward a relatively narrow
area on the bottom of said body of water.
2. Apparatus according to claim 1 wherein:
a. the width of the radiating surface is greater at at least one of
the end points than toward the center portion of the radiating
surface.
3. Apparatus according to claim 2 wherein:
a. the radiating surface is symmetrical about a line perpendicular
to a line joining the end points.
4. Side looking sonar apparatus comprising:
a. a transducer means having an elongated receiving surface
extending between end points for receipt of acoustic energy;
b. the width of said receiving surface being nonuniform;
c. said transducer means being for travel through a body of
water;
d. said transducer means providing an output signal upon receipt of
the said acoustic energy propagating through said water toward said
transducer means.
5. Apparatus according to claim 4 wherein:
a. the width of the receiving surface is greater at at least one of
the end points than toward the center portion of the receiving
surface.
6. Apparatus according to claim 5 wherein:
a. the receiving surface is symmetrical about a line perpendicular
to a line joining the end points.
7. Side looking sonar apparatus comprising:
a. a plurality of transducer active elements each having an active
surface of a certain length and width;
b. said elements being arranged in end-to-end relationship and
lying substantially along a line extending between end points;
c. the width of said elements nearer said end points being greater
than the elements near the center of said line;
d. electrical means;
e. said elements being connected to said electrical means for
collective operation;
f. said collective operation providing a predetermined beam pattern
associated with said transducer means.
8. Apparatus according to claim 7 wherein:
a. the line is a curved line.
9. Apparatus according to claim 8 wherein:
a. The line is an arc of a circle of radius R; and
b. the apparatus is for positioning over a target area at a
distance R.
10. Apparatus according to claim 9 wherein:
a. the elements are oriented with a certain depression angle such
that a line perpendicular to an active surface will intersect the
target area.
11. Side looking sonar apparatus comprising:
a. elongated transducer means having an active surface for
transmission and/or reception of acoustic energy
b. said active surface having a width that varies in the range of
from greater than .lambda. to less than .lambda., where .lambda. is
the wavelength of the operating frequency in the medium in which
the transducer operates.
12. Apparatus according to claim 11 wherein:
a. the length of the active surface is greater than
150.lambda..
13. Side looking apparatus comprising:
a. elongated transducer means having an active surface for
transmission and/or reception of acoustic energy;
b. said active surface having a width so varied that during
operation over a target area said elongated transducer means has a
length L with respect to points relatively distant on said target
area, and has a simulated length L' with respect to points
relatively close on said target area, where L>L'.
Description
CROSS-REFERENCES TO RELATED APPLICATIONS
Ser. No. 889,415 filed Dec. 31, 1969.
BACKGROUND OF THE INVENTION
1. Field of the Invention
The invention in general relates to transducers, and particularly
to a side looking sonar transducer which transmits acoustic energy
to, or receives reflected acoustic energy from, a narrow strip on a
target area such as the sea bottom.
2. Description of the Prior Art
In side looking sonar systems an elongated transducer is generally
mounted on a carrier vehicle which travels along a course line.
Acoustic energy is propagated in a very narrow fan-shaped beam
pattern toward a target area, the sea bottom, by the transducer and
energy reflected from the bottom or objects on the bottom is picked
up by a similar receiver transducer. As the carrier vehicle
continues along its course line an indicating apparatus, such as a
storage tube or paper recorder, portrays a picture of the bottom in
accordance with each reflected transmitted signal. The resultant
display is similar to a picture on a television screen in that the
entire picture is made up of a plurality of parallel sweeps with
each sweep being the portrayal of a reflected transmitted
signal.
One type of side looking sonar transducer has been developed
wherein the transducer is of a curved elongated configuration. The
curved transducer is used for high-resolution applications and the
carrier vehicle travels at a relatively short altitude above the
bottom, for example 20 feet.
The curved transducer has a radiating surface arranged on the arc
of a circle whose radius is the design altitude and acoustic energy
is focused along a line of focus plane on the sea bottom. The
curvature of the arc approximately matches the wave front curvature
of the reflected acoustic energy and any variation in the design
altitude results in defocusing and a consequent degradation of the
display.
It is therefore an object of the present invention to provide a
focused side looking sonar transducer that provides for a greater
depth of focus than transducers of the prior art.
Another type of side looking sonar transducer is the straight line
configuration. This type is not focused along a line of focus and
can tolerate relatively large altitude excursions. The resolution
of the desired target area relatively close to the transducer is
however limited by the width of the transducer.
It is a further object to provide a straight line side looking
sonar transducer that effectively increases the depth filed of the
display, that is, increases the resolution for target areas
relatively close to the transducer.
SUMMARY OF THE INVENTION
A side looking sonar transducer means is provided and includes an
elongated active surface with the width of the surface being
greater toward one, and preferably both ends of the transducer. The
transducer may be used as a transmitter and/or a receiver of
acoustic energy and the variable-width active surface results in a
transducer having an effective length L for governing response at
relatively large distances from the transducer and an effective
length L', of a magnitude smaller than L, for governing response
relatively close to the transducer. The apparent shortening of the
transducer results in a greater depth of focus or depth of field at
those positions relatively close to the transducer.
In the preferred embodiment the elongated transducer has an active
face which assumes or lies on a straight line or the arc of a
circle, and the transducer is made up of a plurality of short
segments of transducer material positioned in end-to-end
relationship to form an array and wherein the end elements of the
array are wider than the elements near the center of the array.
BRIEF DESCRIPTION OF THE DRAWINGS
FIGS. 1a and 1b show an elevational and a plan view, respectively,
of a typical side looking sonar beam pattern;
FIG. 2 is a block diagram of the transmit/receive electronics
portion of a typical side looking sonar system;
FIG. 3 illustrates a side looking sonar transducer of the prior
art;
FIG. 4 illustrates the positional orientation of the transducer of
FIG. 3;
FIG. 5 illustrates another transducer of the prior art;
FIG. 6 is a beam pattern in rectangular coordinates;
FIG. 7 illustrates the development of a beam pattern on a target
area for a transducer such as illustrated in FIG. 5;
FIG. 8 shows an insonified area, or a receive area for a typical
side looking sonar transducer;
FIGS. 9a through 9c serve to illustrate the matching and
mismatching of acoustic energy with the curved transducer to aid in
understanding of depth of focus of the transducer;
FIG. 10 illustrates the effect of shortening the transducer of
FIGS. 9a through 9c;
FIG. 11 are curves illustrating the variation in depth of focus
with increase in bottom range;
FIG. 12 illustrates a preferred embodiment of the present
invention;
FIGS. 13 through 15 serve to illustrate the operation of the
preferred embodiment of FIG. 12;
FIG. 16 illustrates a straight line transducer orientation with
respect to a target area; and
FIG. 17 illustrates another embodiment of the present
invention.
DESCRIPTION OF THE PREFERRED EMBODIMENT
In FIG. 1a, illustrating a typical side looking sonar application,
a carrier 10 proceeds along a course line (toward the viewer) at a
predetermined altitude H above the sea bottom 12. Although sea
bottom is mentioned it is obvious that the apparatus may be used
over different target areas and in various bodies of water. Side
looking sonar apparatus aboard the carrier 10 has associated
therewith a pancake-shaped beam pattern 14 being wide in a
generally vertical plane and being relatively narrow in a generally
horizontal plane, as illustrated in FIG. 1b which is a view looking
down on the apparatus of FIG. 1a.
For increased coverage of the target area, port and starboard
transducer means may be provided and may simultaneously operate at
slightly different frequencies of operation or may operate
sequentially at the same frequency.
The transducer which provides such a beam pattern has a radiating
or active surface which is very long compared to its width. For
example, in terms of wavelengths, .lambda., its length L may be
over 150.lambda. and its width W, less than 1.lambda. where
.lambda. is the wavelength of the operating frequency, in the fluid
medium in which the transducer operates.
FIG. 2 illustrates in block diagram form an operative side looking
sonar system for one side. Where very low speed can be tolerated, a
single transducer may be used in conjunction with proper switching
equipment, as both a transmitter and a receiver of acoustic energy.
For a relatively faster speed however two transducers are utilized,
one for projecting acoustic energy and one for receipt of reflected
acoustic energy, with the transducers being oriented relative to
one another that the transmitted acoustic energy is projected at an
angle with respect to the receiver. In FIG. 2, upon the application
of a suitable command pulse 2, the transmitter 3 will provide an
electrical signal to the transmitter transducer TR. Reflected
acoustic energy is received by the receiver transducer REC the
output signal of which is provided through a receiver means 5. In
order to provide for somewhat uniform intensity of the return
signal (in the absence of a target) the receiver output, which
decreases in amplitude with respect to time, is operated upon by
time-varying gain means 6 which varies gain in accordance with the
illustrated curve. Such technique is well known to those skilled in
the art. The detector 8, which receives the output of the
time-varying gain means 6, provides an output signal to recorder
means 9 which then provides the desired display. Such recorder
means 9 may be for example magnetic tape storage for future
display, cathode ray storage tube apparatus, or a helical
wire-electrosensitive paper unit, to name a few.
For high-resolution work, use is made of a curved transducer such
as illustrated in FIG. 3 to which reference is now made.
The transducer 18, representative of the prior art, is made up of a
plurality of active elements 20 arranged in end-to-end relationship
such that the center of each element 20 lies substantially along
the curve A, A being a section of a circle having the center 0 and
a radius R. Each element 20 (more particularly the center of each
rectangular surface illustrated) is at the same distance R from
point 0. If the transducer 18 is designed to travel at an altitude
H equal to the distance R, then point 0 0 will lie on the sea
bottom 12 and the energy radiated at any instant of time from any
of the active elements 20 will arrive at point 0 simultaneously
with the arrival of the energy transmitted by the remaining active
elements. Conversely, if transducer 18 is a receiver, energy
transmitted, or reflected, from point 0 and radiating spherically,
will simultaneously arrive at each of the active elements 20. If 0
is extended perpendicularly to the plane of the circle then each of
the active elements 20 will be equally distant from any point on
that line. This is illustrated in FIG. 4.
FIG. 4 illustrates an XYZ coordinate system with the transducer 18
of FIG. 3 being represented by T which is the curve A between
points a and b. T lies in the XZ plane at an altitude or distance R
from the origin 0 and each point on T is at the same distance R
from 0 since T is the arc of the circle centered about 0. Line F,
known as the line of focus is perpendicular to the plane of the
circle at point 0 and any point on line F is equidistant to all
points on the transducer T. A line from point 24 drawn to the
intersection of the transducer T and the Z axis is designated 25
and has a length S, S being the slant range to point 24. The lines
25 joining the end points of the transducer with point 24 are also
of a distance equal to S. Lines joining point 24 with each and
every point on the transducer T would form a section of a cone.
Perpendiculars drawn to the faces of the active elements in FIG. 3
will all be parallel to one another and to the Y axis in FIG. 4.
Maximum energy is directed or received along that perpendicular. In
order to direct more energy onto the sea bottom the individual
active elements are generally tilted about the arc A by a certain
depression angle, as illustrated in FIG. 5, such that the
perpendicular to each face passes through a point on the line of
focus F, such point R.sub.m being at maximum range. For example,
and with additional reference to FIG. 4, if point 24 is the maximum
range point R.sub.m then the lines 25 will be identical with the
lines 26.
The transducer 18 whether it is a transmitter or receiver of
acoustic energy has a radiation pattern or receive pattern,
respectively, associated therewith. FIG. 6 illustrates a typical
beam pattern on the sea bottom. In FIG. 6 the horizontal axis
represents units of distance from an origin 0, 0 for example being
any representative point on the line of focus F. The vertical axis
represents normalized acoustic sound pressure. That is, the maximum
acoustic sound pressure (at the particular point in question) has
been given an arbitrary value of 1 with all sound pressures being
relative to the maximum and therefore falling between 0 and 1. The
vertical scale of FIG. 6 has also been labeled in decibels db. This
designation is another manner of stating relative pressures and
since the pressures will be a maximum of 1 or less, the pressure
designation will be -db. or "db. down." For example, the maximum
point, 1.0 on the relative pressure scale would be equivalent to 0
db. a pressure of approximately 0.7 of maximum is said to be -db.
or 3 db. down; and a pressure of approximately 0.1 is said to be
-20 db. or 20 db. down. The db. values are approximate and may be
calculated exactly from known formulas. The width of the beam is
generally given at some reference level. By way of example, the -3
db. points may be chosen as the reference, as is commonly done, and
the width of the beam represented by the pattern of FIG. 6
therefore will be equal to x units of distance.
Each point along the line of focus F has a beam pattern such as
illustrated in FIG. 6. In FIG. 7 the beam pattern 30 is the pattern
associated with point P.sub.2 at a slant range of S.sub.2 from the
transducer T. The -3 db. points are designated 31. Another beam
pattern 34 is illustrated for point P.sub.1 at a slant range of
S.sub.1 from transducer T and the -3 db. points are designated 35.
The distance between the -3 db. points (x in FIG. 6) may be
approximated by the relationship
where .lambda. is the wavelength of the operating frequency, L the
length of the transducer T, and S the slant range. From the
relationship it may be seen that as the slant range S increases,
the distance x between the -3 db. points also increases. It is
obvious that the beam pattern could be drawn for every point along
the line of focus F. If a line is drawn through all the -3 db.
points on one side of the line of focus F and through all the -3
db. points on the other side of F then there is defined a
wedge-shaped area 38 as illustrated in FIG. 8. The area 38,
sometimes known as the insonified area, is the area which contains
maximum acoustic energy. Conversely, if the transducer T is a
receiver then it will receive substantially the energy reflected
from the area, or any target in the area, 38 and will provide a
corresponding output signal in response to receipt of such energy.
In actual operation transducer T provides an acoustic pulse 39
which initially impinges upon the sea bottom (the Xy plane) for
example at point 40 and proceeds outwardly along the line of focus
F to a maximum point 42, to thereby define the area 38.
Consider now a situation wherein FIG. 8 represents a receive
situation and transducer It is a receiver transducer. Reflected
acoustic energy from the area 38 or from a target within the area
38 diverges substantially omnidirectionally. That is, a reflected
wave front may be thought of as an expanding sphere emanating from
the point of reflection. When reflected energy from area 38 reaches
the transducer T the wave front of such energy will substantially
match the curvature of transducer T which accordingly will provide
a corresponding output signal.
The transducer is designed for a critical altitude and deviation
from that altitude will place the line of focus F above or below
the XY plane.
Even if the critical altitude is maintained it will be apparent
that reflected energy may emanate from a point above or below the
area 38 due to a reflection from a physical target or land contour.
It may be shown that for relatively distant ranges, for example,
near the vicinity of point 42, the wave front of energy reflected
from a point above or below the line of focus F by a considerable
distance will still match the curvature of transducer T to such an
extent as to provide meaningful output signal. However, considering
a relatively close in range in the vicinity of point 40, as soon as
the reflecting point goes above or below the line of focus F by a
relatively small amount, a proper signal indicative of that target
point will not be provided. This defocusing effect is further
illustrated in FIGS. 9a, b and c.
FIG. 9a, is a view looking down the line of focus F toward the XZ
plane and illustrates acoustic energy reflected from point 40. FIG.
9a represents a particular wave front 50 as it emanates from point
40 toward the transducer T. It is seen that wave front 50 after
having traveled for a distance R will exactly match the curvature
of transducer T, every section of which will provide an output
signal in accordance with the wave front and in phase with every
other section of the transducer T.
In FIG. 9b the situation is depicted wherein acoustic energy is
reflected from point 40' above the line of focus F. Wave front 52
proceeds from point 40' and at some later time just touches
transducer T and is designated 52'. As the wave front proceeds it
will touch the ends a and b of transducer T and a crescent 55 will
be formed between the wave front designated 52" and the transducer
T. If the height h of this crescent is more than a predetermined
value then it may be stated that a proper output signal will not be
provided. Depending upon system design and by way of example, if h
is greater than 0.38.lambda. then the output signal will be
degraded such that point 40' will not be properly displayed on the
recorder apparatus. For radiations effectively emanating from point
40" the crescent area would be below the line T and if the height
of such crescent was greater than the critical distance h, a
meaningful output signal would not be provided.
The reason for signal degradation is graphically depicted in FIG.
9c which shows several active elements 20 of the transducer T in
conjunction with the wave front 52' of FIG. 9b. A dot has been
drawn at the center of the active face of each element 20 to serve
as a reference point and it is seen that when the wave front 52'
just touches the dot of the active element 20 on the Z axis it will
be at a progressively increasing distance from the remaining active
elements.
In the FIG. .delta..sub.1 =0 and .delta..sub.2 <.delta..sub.3
<.delta..sub.4 <.delta..sub.5. Each active element therefore
contributes an individual signal which is out of phase with the
signals provided by the remaining active elements. The signals are
provided by suitable electrode means, not shown, but well known to
those skilled in the art. A vector addition of these individual
signals provides a resultant signal of a substantially reduced
magnitude. In contrast, a wave front proceeding from point 40 would
simultaneously impinge on each active element 20 and the individual
output signals, all being in phase, would result in a significantly
higher output signal.
If the height h of the crescent 55 formed by the wave front of
energy emanating from point 40' could be reduced below the critical
value 0.38.lambda.the information relative to point 40' could also
be properly displayed.
As illustrated in FIG. 10, if the length of the transducer T is
shortened from points a and b to points a' and b' respectively then
the wave front 52 emanating from point 40' forms a crescent 55' of
a height h which is significantly reduced in magnitude such that
information relative to point 40' may now be displayed.
It may be shown that for bottom ranges from directly beneath the
transducer out to maximum range, the depth of focus varies
inversely as the square of the length of the transducer. For bottom
ranges approximately equal to or less than the magnitude of
altitude R, the depth of focus is approximately proportional to
R.sup.2 /L.sup.2. For greater bottom ranges the depth of focus is
approximately proportional to R/L.sup.2.
Variation in depth of focus is illustrated in FIG. 11 wherein the
horizontal axis represents the bottom range, in feet, along the
line of focus, and the vertical axis represents vertical distance,
in inches. Curve 60 represents the depth of focus above, and curve
60' the depth of focus below the line of focus, for a transducer
such as in FIG. 9b with the following design parameters;
operating altitude R ..... 20 feet
length L ..... 22 inches
.lambda. ..... 0.04 inches
width W of active surface ..... 0.03 inches (3/4.lambda.)
critical distance h ..... 0.38.lambda.
Curve 60 shows that directly below the transducer, that is at a
bottom range of zero on the horizontal scale the depth of focus is
+13.7 inches and curve 60' shows a depth of focus of -15.4 inches.
A similar transducer reduced in length to 14 inches would have a
depth of focus, at that same bottom range of zero, of +31.1 inches
and -42.0 inches. The positive and negative depth of focus for such
14-inch transducer is depicted in curve 62 and 62'
respectively.
Past approximately 20 feet, curve 60 and 60' diverge so that at a
bottom range of for example 100 feet the depth of focus would be
+73.1 inches and -74.8 inches. For the 14 -inch transducer these
respective values are extended to +179.0 inches and -189.9 inches
respectively. From the curves of FIG. 11 it is seen that for
distant ranges a relatively large transducer altitude deviation may
be tolerated. For close in ranges the maintenance of a specified
relative altitude is critical although it is seen that it is less
critical for the 14 -inch transducer than for the 22-inch
transducer. Use of a 14-inch transducer therefore would allow for a
greater depth of focus however, from equation (1) the width x of
the insonified area at maximum range would also be increased, thus
degrading system resolution. The situation is presented therefore
where it is desired to have a relatively long transducer for
maintaining system resolution while at the same time a relatively
shorter transducer is desired for increasing the depth of focus for
close in ranges. The present invention provides for an increased
depth of focus at close in ranges without sacrificing system
resolution. This is accomplished by an elongated transducer means
having a radiating or receiving active surface and wherein the
width of the active surface is greater at least one end portion of
the transducer means and reduces in width toward the center portion
of the transducer means. In the preferred embodiment the width of
the active surface is greater at both end portions and the width
decreased towards the center.
A preferred embodiment of the invention is illustrated in FIG. 12.
The transducer 65 is similar in many respects to the transducer of
FIG. 5 in that it is made up of a plurality of active elements
forming an active surface, the elements being arranged
substantially on an arc A of a circle of radius R and extending
between points a and b and is symmetrical about a line (the Z axis
in FIG. 12) perpendicular to a line joining points a and b.
Preferably each active element is depressed by some predetermined
angle.
The active elements may be of any well-known transducer material,
barium titanate being one example, although it is understood that
the transducer need not be piezoelectric or piezoceramic, but may
also be magnetostrictive. Transducer operation is conventional in
that when supplied with proper electrical energy the transducer 65
will transmit acoustic energy in a certain beam pattern or if a
receiver, the transducer 65 will provide a corresponding electrical
output signal in response to the receipt of proper acoustic energy
and in accordance with its receive beam pattern. The active surface
of the transducer 65 is effectively wider at the end portions
thereof than in the middle. By way of example the two active
elements 67 at each end portion are wider than the remaining active
elements 68. By proper design the transducer 65 may be made to
simulate the 14-inch transducer discussed in FIG. 11, to increase
the depth of focus for close in ranges while also simulating the
22-inch transducer for maintaining system resolution.
It may be shown such operation will result if each active element
68 (there are seven such elements) has a length of 2 inches and a
width of 0.03 inch and each active element 67 (there are four such
elements) has a length of 2 inches and width of 0.045 inch. Other
parameters are identical to that described with respect to FIG. 11,
that is, an operating altitude of 20 feet with a frequency of
operation such that the wave length .lambda. is 0.04 inches. This
apparent duality of length of a single transducer is best explained
with reference to FIG. 13, 14 and 15.
In the following discussion the transducer will be treated as a
transmitter. It is to be understood that by reciprocity the
principles apply to the transducer as if it were a receiver. In
such case the individual elements would be responsive to point
sources of radiation and to obtain equal response from a source of
radiation at a distant point as in FIG. 15 the receiver response of
the wider elements 67 may be varied with respect to the response of
elements 68.
In FIG. 13 an active element's surface 74 lies in the XZ plane on
the Z axis and has a length l and a width W. A planar surface is
illustrated, however the active element may have a curved surface.
Line 76 is perpendicular to the surface 74 and point 79 is a point
in the ZY plane. A line drawn from the intersection of
perpendicular 76 and surface 74 to the point 79 has a length S and
lies at an angle .phi. with respect to perpendicular 76. The
pressure at any point such as point 79 is given by the beam pattern
formula:
If the angle .phi. (.phi. is in radians) is equal to 0 then point
79 falls on line 76 and equation (2) reduces to:
K is a proportionally constant dependent upon the length l and the
input power supplied to the element. With a given depression angle
.phi. the orientation of FIG. 14 results. The perpendicular 76
intersects the line of focus F at point m where the pressure is
P.sub. m and the distance from the face 74 to point m is designated
S.sub. m. The pressure at any other point n along the line of focus
F between o and m is P.sub.n and the distance from the face 74 to
such point n is designated S.sub. n. The ratio of the pressure at
point n to the pressure point at point m is given by the
relationship:
With the above beam pattern formulas, the transducer embodiment of
FIG. 12 will be analyzed in the simplified arrangement of FIG. 15
which shows two active elements, element 68 having a width of 0.03
inch and an end element 67 of a greater width, 0.0425 inch. In the
following analysis, parameters associated with the element 67 have
been given primed reference characters. Both elements have been
given a depression angle such that the line S.sub.m and S'.sub.m
are equivalent to the perpendicular 76 illustrated in FIG. 14.
Point n is directly below the transducer at the origin of the
coordinate system and accordingly the distances S.sub. n and
S'.sub. n are equal to a radius R as in FIG. 12. The line S.sub. m
makes an angle .phi.' with line S.sub. n and line S'.sub. m makes
an angle .phi.' with line S'.sub. n. In this illustration S.sub. m
= S'.sub. m ; S.sub. n = S'.sub. n ; and .phi.=.phi.' . From
equation (3) the pressure at point m due to element 68 is
P.sub.m =K/S.sub.m Eq. (5)
The pressure at point m due to element 67 is similarly
P'.sub.m =K'/S'.sub.m Eq. (6)
Although not a requirement, for purposes of illustration, the
pressure at point m from element 67 will be made equal to the
pressure at point m from element 68, that is P.sub.m =P'.sub.m.
Since S.sub. m equals S'.sub. m the pressures are made equal by
relative adjustment of the constants K and K'. The element 67 has a
larger active surface area than element 68 and therefore K and
K'are made equal by proportionately reducing the power supplied to
element 67.
The pressure at point n due to the element 68 may be determined
from equation (4) wherein .lambda.=0.04 inch; W=0.03 inch;
.phi.=1.22 radians (70.degree.) and S.sub. n /S.sub. m = Cos.
.phi.. Solution of equation (4) with these parameters result in
P.sub. n =0.124.sup.. P.sub. m which demonstrates that element 68
contributes to the pressure at point n as will all elements 68 of
FIG. 12.
The pressure at point m due to the wider element 67 may also be
determined from equation (4) with the width W being 0.0425 inch.
The solution of equation (4) with this increase in width results in
P'.sub. n =0. The same will be true with respect to every other
element 67 in FIG. 12. It is therefore seen that the total pressure
at point m is the combination of all the individual pressures
provided by elements 67 and 68 and since each element is 2 inches
long the pressure at point m is the result of a 22-inch transducer
since in the present example there are a total of 11 elements. The
wider elements 67 contribute no pressure at point n the total
pressure at which is provided solely by elements 68. In the present
example there are seven such elements each 2 inches long so that in
effect at point n the transducer appears to be a 14-inch
transducer.
The foregoing principles may also be applied to a straight line
transducer such as transducer T in FIG. 16. The transducer T may be
similarly made up of a plurality of active elements each depressed
by a certain angle to insonify a portion of the sea bottom. Since
the transducer T is generally parallel to the X axis the acoustic
energy radiating therefrom is not focused along a line of
focus.
A view looking down on the transducer T and the sea bottom is
illustrated in FIG. 17. If the transducer has a length L its -3 db.
beam width in the near field will be that beam width depicted by
lines 90, 90'. Starting from the transducer it is seen that the
beam width decreases to a minimum value of 0.6L after which it
diverges to form the far field -3 db. beam width. The distance of
the narrow region from the transducer is approximately given by the
value of L.sup.2 /2.lambda.. If it is desired to increase the
resolution within the near field then the end elements 67 may be
made wider than the central elements 68, exactly as described in
FIG. 12, except for the fact that the elements now lie on a
straight line. With such an arrangement it will be remembered that
the end elements 67 contributed nothing to the region directly
below the transducer, effectively simulating a smaller length
transducer. Such simulated smaller length transducer is designated
by the length L ' and its beam width is depicted by the lines 92,
92'. This latter beam width decreases to a value of 0.6L' at a
region closer to the transducer, since L' is smaller than L. By
applying the principles discussed herein therefore, the beam
pattern for the transducer for close in ranges will be 92, 92'
since elements 67 contribute no or little energy to the region,
whereas for the far field consideration the beam pattern will be
described by 90, 90'. The resolution up to distance of L.sup.2
/2.lambda. therefore is increased.
The variable width of transducer may be a curved or straight line
receiver either one being utilized in conjunction with a curved or
straight line transmitter of nonvariable width. Conversely the
variable width transducer may be the transmitter used in
conjunction with a curved or straight line transducer of either
variable or nonvariable width. If the transducer is constructed of
a plurality of active elements the depression angle of the elements
may be varied, as disclosed in copending application Ser. No.
889,415 filed Dec. 31, 1969 and assigned to the assignee of the
present invention.
Although the present invention has been described with a certain
degree of particularity, it should be understood that the present
disclosure has been made by way of example and that modifications
in constructional details and variations of the present invention
are made possible in the light of the above teachings.
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