[0001] The present invention relates generally to electroacoustic transducers employed in
sonar systems, and more particularly to an electroacoustic transducer capable of accommodating
multiple sonar beams which utilises collimating acoustic lenses.
[0002] Sonar systems utilise narrow beams of sound energy projected in certain desired directions
from a marine vehicle, and receive reflected energy from these directions, as described,
for example, in U.S. Patent Specification No.3,257,638. Conventionally, these beams
are produced by vibrating piezoelectric discs having diameters which are large compared
to the wavelength of the sound wave propagated or to be received. When multiple beams
are utilised, the transducer assembly must be enlarged to accommodate the multiplicity
of necessary elements. Multiple beam transducers of the prior art create installation
difficulties, particularly on small ships, and provoke increased installation costs
due to the necessity for larger gate valves and stronger structural supports. Thus,
there is a need for relatively compact multiple beam transducers which will facilitate
installation and mitigate attendant costs.
[0003] European Patent Specification No.0,088,569 discloses a compact apparatus for transmitting
and receiving multiple sonar beams. An acoustic lens directs plane waves incident
in desired directions to electroacoustic transducers disposed in spherical shell segments
centred in the focal regions of the lens associated with the incident beams. The electroacoustic
transducers transmit spherical waves which are transformed by the acoustic lens to
plane waves emergent in the desired directions. The manufacture of this transducer
entails some difficulty and expense resulting from the need to fabricate piezoceramic
crystal elements in the form of spherical shell segments.
[0004] An object of the invention is to maintain the compact configuration of the above-mentioned
co-pending application whilst eliminating the need for electroacoustic transducers
in the shape of spherical shell segments.
[0005] The invention is defined in the appended claims and a sonar transducer embodying
the principles of the present invention includes means for converting incident plane
sound waves to sound waves that converge at a focal region in the focal surface thereof.
Plane waves incident in different predetermined directions are converged to different
focal regions. Sound waves emitted from the focal regions are converted to plane sound
waves which are radiated in these predetermined directions. Electroacoustic transducers
having planar surfaces may be employed for receiving and transmitting sound waves
and means for presenting the focused sound waves in phase at the planar surfaces of
the transducers may be provided. Sound waves emitted by the planar surfaces of the
transducers are converted to diverging beams which are radiated as plane waves in
the predetermined directions.
[0006] A preferred embodiment of the invention comprises a doubly concave acoustic lens
which focuses plane waves incident from a plurality of predetermined directions to
a plurality of focal regions in corresponding relationship with the incident directions.
A medium of silicone rubber is bonded to the inner surface of the lens. The low speed
of sound in rubber produces a short focal length, thus diminishing assembly depth.
Acoustic lenses having spherical surfaces are positioned to collimate the focused
sound waves to provide plane waves at the planar surface of three piezoelectric ceramic
crystal transducers. Positioned between the collimating lenses and the planar surfaces
of the transducers are epoxy matching sections. A matching section provides favourable
electrical characteristics when measured at the electrical terminal of a crystal by
transforming the low acoustic impedance of a collimating lens to a higher value for
presentation to the crystal. Aluminium backing plates are positioned behind the transducers.
The backing plates provide both structural strength and heat transport or conduction
for the crystals. The planar surfaces of the transducers are positioned to receive
and transmit beams which are each inclined 15° from the central axis of the doubly
concave lens.
[0007] Apparatus in accordance with the invention for transmitting and receiving a plurality
of sonar beams will now be described in greater detail, by way of example, with reference
to the accompanying drawings in which:-
Figure 1 is a schematic diagram of a doubly concave acoustic lens, an electroacoustic
transducer having a planar surface, and a collimating acoustic lens disposed therebetween,
with a superposed ray diagram illustrating the action of the lenses,
Figure 2 is a schematic diagram of a ray impinging upon a collimating acoustic lens
used for calculating the curvature of the lens, and
Figure 3 is a cross-sectional view of a preferred embodiment of the invention.
[0008] Identical numerals in different figures correspond to identical elements.
[0009] The invention is concerned with the construction of a multiple beam transducer with
a single aperture in the form of an acoustic lens which provides the required aperture
to wavelength ratio. A ray diagram depiciting the focusing action of the acoustic
leans is shown in Figure 1. Parallel rays of incident plane wave 10, propagating in
water medium 11, impinge on an acoustic lens 12. To focus an incident plane wave,
the acoustic lens 12 is chosen doubly concave and constructed of a medium in which
the velocity of sound is greater than that in water 11 and an adjacent medium 13.
The focusing action results from the beam being first bent away from the normal to
the surface of the lower refractive index lens 12 as it enters the lens, and then
upon emergence from the lens, being bent towards the normal. Accordingly, incident
plane sound wave 10 is focused to a focal point 14 by the lens 12. Conversely, a point
source at 14 radiating lens 12 with a sound wave will cause the projection of a plane
wave depicted by the parallel rays 10. Characteristic of a lens constructed in this
fashion is a unique correspondence between the direction of incidence of a plane wave,
and the associated focal point in the focal plane of the lens. Simply, collimated
beams incident from different directions have different focal points. For example,
the plane wave represented by parallel rays 15 will be focused at a second focal point
16. Thus a multiplicity of such focal points lie in a focal plane 16a of the lens
12, each focal point defining a different beam direction for reception or projection
of sound waves. A multiplicity of small electroacoustic transducers placed at different
focal points can then be used to transmit and receive sound beams such that the beam
width is characterised by the lens diameter.
[0010] A major deterrent to the implementation of such an arrangement is the inability of
the small transducers to operate at significant power levels. The sound intensity
(watts per unit area) in the medium 13 in the vicinity of a transducer is intense
because of the small transducer surface area, causing cavitation and disruption of
the medium. In addition, heat dissipation produced by transducer losses is confined
to the small transducer surface, thus causing high temperatures to be generated if
significant electrical power is supplied. The present invention utilises larger transducers
having significantly larger surface areas and which are placed forwardly of the focal
points. An electroacoustic transducer 17, having a planar surface 18 for receiving
and transmitting waves, is disposed between the focal point 14 and the lens 12. A
lens 19, disposed between the electroacoustic transducer 17 and the lens 12, presents
rays in phase to the surface 18 of the electroacoustic transducer 17. The lens 19
achieves this by refracting the converging rays and directing them perpendicular to
the planar surface 18 of the electroacoustic transducer 17. The material of the lens
19 possesses a sound velocity greater than that of the medium 13, and a specific acoustic
impedance preferably near that of the medium 13 in order to minimise unwanted reflections.
With this arrangement, substantially all the acoustic energy received by the lens
12 is thus available for conversion to electrical energy by the electroacoustic transducer
17. Conversely, when transmitting, the transducer 17 in conjunction with the lens
19 projects rays as though the focal point 14 were the source. An advantage obtained
by this arrangement is that small changes in the position of the focal point do not
cause drastic changes in performace since all rays are still intercepted by the transducer
17 with only slight out of phase interference. With small transducer elements disposed
directly at the focal points, small changes in focal point location can precipitate
large changes in the captured energy. As a further advantage, the depth of the entire
apparatus is reduced, since the apparatus need not extend behind the lens 12, in the
medium 13, to the focal plane.
[0011] The curvature of the lens 19 required to present the rays in phase to the planar
surface 18 of the electroacoustic transducer 17 may be determined with the aid of
Figure 2. A ray 20 directed towards the focal point 14 impinges on the surface of
the lens 19. Absent the lens 19, and the ray 20 would travel through the medium 13,
whose propagation speed is C
M, a distance R to the focal point 14. With lens 19 present, the ray 20 travels through
the lens medium, whose propagation speed is C , a distance X to Y axis 21 drawn through
focal poirTC 14. For all the rays refracted by lens 19 to arrive at the Y axis 21
in phase, the propagation time (t ) that would have been experienced in the medium
13 by an individual ray, if the lens 19 were not present, must be equal to the time
(t
L) taken by that ray to traverse the lens material, plus an additive constant k. Accordingly,
[0012] 
Thus,

[0013] By the pythaqorean theorem R = X
2 + Y , so that

and
[0014] This is the well-known equation for a conic with eccentricity equal to

and a directrix equal to c
Lk Since the material of the lens 19 has a higher propagation velocity than the medium
13,

is less than one and, therefore, the curve is an ellipse.
[0015] The elliptical shape of the lens 19 may be approximated by a sphere whose radius
is selected to provide the best fit over the region of interest.
[0016] A typical design embodying the invention is shown in Figure 3. A solid lens 25, of
syntactic foam, 6.75 inches (17.15cm) in diameter, 0.376 inches (0.96cm) centre thickness,
with internal radius 7.18 inches (18.24cms) and external radius 23.82 inches (60.5cms)
is in contact with water on its outer surface and bonded on its inner surface to a
medium 26 of silicone rubber. The arrangement shown provides for three transmitting
or receiving beams each oriented in the water 15° off a central axis 27 of the lens
25. The low speed of sound in rubber oroduces a short focal lenath 28 of 10.91 inches
(27.71cms) thus diminishing the assembly depth. The subtended angle 29 is 33°.
[0017] Each of three piezoelectric ceramic crystals 30 has a planar surface for receiving
and transmitting beams, and each crystal has a diameter of 2.5 inches (6.35cms) and
is disposed 10.5° off the central axis 27 of the lens 25. The crystals are each of
such a thickness that they resonate at 122 kHz, and are bonded to a metal support
31. Collimating lenses 32 comprised of the same syntatic foam material as lens 25
and associated with respective crystals 30, collimate the rays of a focused beam for
presentation to the planar surface of the related crystal. The elliptical surface
of each collimating lens
32 is approximated by a spherical surface of radius 2.1
5 inches (5.46cms) centred 1.85 inches (4.7cms) forwardly of the related focal point
33. Interposed between each crystal 30 and its associated collimating lens 32 is a
plastic matching section 34 preferably comprised of epoxy. Each matching section has
a diameter of 2.5 inches (6.35cms) and has a thickness of 0.21 inches (0.53cms) equal
to an odd multiple of a quarter wavelength, in this embodiment a quarter wavelength.
The matching section 34 provides favourable electrical characteristics when measured
at the electrical terminals of a crystal 30 by transforming a low acoustic impedance
to a higher value for presentation to the crystal. The section 34 creates an acoustic
impedence match between a crystal 30 and its collimating lens 32. Essentially two
purposes are served by the matching section 34: it broadens bandwidth, and it increases
efficiency of the transducer (see The Effect of Backing and Matching on the Performance
of Piezoelectric Ceramic Transducers, by George Kossoff, I.E.E.E. Transactions on
Sonics and Ultrasonics, Volume SU-13, No. 1, March 1966) Disposed on the surface of
each crystal opposite the receiving surface is a metallic backing plate 35, preferably
aluminium, having a diameter of 2.5 inches (6.35cms) and thickness an integral multiple
of a half wavelength, in this case 1.02 inches (2.59cms). The backing plate 35 provides
both structural strength and heat transport or sink for the crystals 30 and is essentially
transparent at the operating frequency. The transparency, that is the negligible effect
upon the transmission of acoustic waves, follows from the standard sound transmission
coefficient formula for waves traversing two boundaries (see, for example, Fundamentals
of Acoustics, page 149 to 153, by Kinsler and Frey, Wiley, 1950). If only heat conduction
is desired from the backing plate 35, it may be made thinner. The plate 35 may alternatively
be positioned in contact with the receiving and transmitting surface of a crystal
30, whereby a matching section may then be utilised between the plate and a collimating
lens to provide an acoustic impedance match between the plate and the lens.
[0018] Since a collimating lens has been constructed (see Figure 2) such that rays traversing
its medium are in phase at the Y axis 21. the rays are necessarily in phase in the
medium at any line parallel to the Y axis 21. Accordingly, rays immediately emerging
from the planar surface of a lens are in phase, and remain so as they pass through
mediums of uniform thickness en route to the planar surface of a crystal.
1. Apparatus for transmitting and receiving a plurality of sonar beams characterised
in that it comprises lens means (25) having a central axis (27) for converting incident
plane sound waves to sound waves which converge at a focal region in the focal surface
thereof such that plane waves incident in different predetermined directions converge
to different focal regions, and for converting sound waves emitted from said focal
regions to plane sound waves radiating from said lens means in said predetermined
directions; a plurality of electroacoustic transducers (30) having planar surfaces
for receiving and transmitting sound waves; and in-phase means (32) for presenting
rays of sound waves in phase to the planar surfaces of the electroacoustic transducers
(30) the rays deriving from the sound waves produced by the focusing action of the
lens means (25) on the plane waves incident on the lens means in the predetermined
directions, and for transforming sound waves emitted by the planar surfaces of the
electroacoustic transducers (30) to sound waves which are converted by the lens means
(25) to the plane sound waves radiated in the predetermined directions.
2. Apparatus according to claim l, characterised in that lens means comprises a doubly
concave acoustic lens (25) constructed of a material with an acoustic propagating
velocity which is greater than the acoustic propagating velocity of water; and an
acoustic propagating medium (26) having an acoustic propagating velocity which is
less than the acoustic propogating velocity of the lens material, positioned between
the lens and the in-phase means (32).
3. Apparatus according to claim 1 or 2, characterised in that the in-phase means comprises
a plurality of collimating acoustic lenses (32) which substantially collimate rays
of the sound waves produced by the focusing action of the lens means (25) on the plane
waves incident on the lens means in the predetermined directions, the substantially
collimated rays being substantially perpendicular to the planar surfaces of the electroacoustic
transducers (30).
4. Apparatus according to claim 3, characterised in that the in-phase means further
comprises matching means (34) positioned between the electroacoustic transducers (30)
and the collimating acoustic lenses (32) for providing an acoustic impedance match
between the electroacoustic transducers and the collimating acoustic lenses.
5. Apparatus according to claim 3 or 4, characterised in that it further comprises
backing plate means (35) positioned adjacent the surfaces of the transducers (30)
opposite the planar surfaces for transmitting acoustic signals, conducting heat, and
providing structural strength.
6. Apparatus according to claim 3, characterised in that the in-phase means further
comprises window means, positioned between the electroacoustic transducers (30) and
the collimating acoustic lenses (32), for transmitting acoustic signals, conducting
heat, and providing structural strength; and matching means, positioned between the
window means and the collimating acoustic lenses (32), for providing an acoustic impedance
match between the window means and the collimating acoustic lenses.
7. Apparatus according to any of claims 3 to 6, characterised in that the collimating
acoustic lenses (32) comprise elliptical surfaces facing the doubly concave acoustic
lens (25), and planar surfaces facing, and being disposed parallel to the planar surfaces
of the electroacoustic transducers (30).
8. Apparatus according to any of claims 3 to 6, characterised in that the collimating
acoustic lenses (32) comprise spherical surfaces facing the doubly concave acoustic
lens, and the planar surfaces facing, and being disposed parallel to the planar surfaces
of the electroacoustic transducers.
9. Appartus according to claim 5 and any claims appended thereto, characterised in
that the transducers (30) comprise cylinders, the matching means (34) comprises cylinders
having a thickness that is an odd multiple of a quarter wavelength of an incident
sound wave, and the backing plate means (35) comprises cylinders having a thickness
that is an integral multiple of a half wavelength of the incident sound wave.
10. Apparatus according to claim 6 and any claim appended thereto, characterised in
that the electroacoustic transducers (30) comprise cylinders, the window means comprises
cylinders having a thickness that is an integral multiple of a half wavelength of
an incident sound wave, and the matching means comprises cylinders having a thickness
that is an odd multiple of a quarter wavelength of said incident sound wave.
ll. Apparatus according to any of the preceding claims, characterised in that the
electroacoustic transducers comprise three piezoelectric ceramic crystals (30) each
inclined 10.5° from the central axis of the lens means (25).