[0001] This invention relates to acoustic transducer systems, and more particularly the
coupling of a tuned transducer element to a low impedance medium in which sound waves
are to be propagated to or from the transducer. More particularly, the invention is
concerned with transducer systems suitable for example for use in pulse-echo ranging
applications in which it is desirable to combine high coupling efficiency and highly
directional characteristics with a relatively low transducer "Q".
[0002] Transducers of the type with which the present application is concerned are utilized
for the conversion of acoustic energy into or from another form of energy, usually
electrical energy, and depend upon the vibration of a mechanical element of relatively
high acoustic impedance being converted into or generated from said other form of
energy. In a practical system, the vibration of the mechanical element is coupled
to a medium to or from which acoustic energy is to be transmitted or received, this
medium typically being air which has a very low acoustic impedance. The nature of
this coupling determines the efficiency of the system, its frequency response, and
the directionality of the propagation of the energy.in the medium.
[0003] One widely used form of acoustic transducer assembly utilizes an axially deformable
cylindrical element such as a piezoelectric crystal held in an open end of a cylindrical
support such as a tube. Sound waves emanate from the end, or radiating aperture, of
the tube when the outer end surface of the element vibrates in response to an excitation
of the element as by electrical stimulation. Such a transducer assembly is commonly
utilized for transmission and/or reception of sound in a gaseous medium, the sound
usually being of a high frequency such that the sound wavelength in the medium is
smaller than the dimensions of the radiating aperture.
[0004] The radiation pattern of sound emitted from such a transducer approximates that of
a plane circular piston operating within an infinite baffle. It is well known that
the directivity of such a transducer is a function of the ratio of the diameter of
the radiator to the sound wavelength in the propagating medium, so that a radiator
of larger diameter will exhibit a higher degree of directivity than will one of smaller
diameter while propagating waves of the same length into the same medium. Thus, for
a given directivity, a lower sound frequency requires a larger transducer element.
[0005] Of particular interest is the acoustic power and bandwidth of sound radiated from
a transducer such as that described above. A major and well known problem exists in
the transmission of sound between a gaseous medium of low acoustic impedance and a
high impedance acoustic transducer assembly such as that abovementioned. The problem
is present irrespectively of whether the sound is radiated from the transducer assembly
into the medium or from the medium into the transducer assembly, and is manifested
by a substantially reduced coupling and bandwidth of the acoustic energy transferred
between the source and the medium. In the case of a piezoelectric crystal and an air
environment the difference in impedance is enormous, being of the order of 10,000
to one or greater.
[0006] The essence of the coupling problem is that the low impedance gaseous environment
offers very little opposition to the motion of the high impedance piezoelectric crystal
so that little work is done by the crystal in imparting motion to the gaseous environment.
[0007] A well known means whereby the crystal may be made to do more work on, and thereby
impart more energy into, a gaseous medium is to arrange for the crystal be stimulated
at one of its natural resonant frequencies thereby causing the motion of the crystal
surfaces to be greater by a factor of ten or twenty or more times. In such manner,
the same crystal surface area works against the same opposition offered by the gaseous
environment but through a much greater distance each time the crystal surface moves
through one cycle of its motion. More work is therefore done and more energy is imparted
to the gaseous environment for each cycle of motion of the crystal surface. Even then,
comparatively little power is transferred to the medium, and since there is little
damping of the crystal oscillation, the bandwidth is very narrow and the resultant
ringing effect makes it impossible to transmit and receive sharply defined pulses
of sound energy with very short attack and decay times.
[0008] Another well known means whereby the crystal may be made to do more work on, and
thereby impart more energy to a gaseous medium is to place an intermediate structure
such as a rigid cone or diaphragm, whose frontal dimension is greater than that of
the crystal, between the crystal and the gaseous environment. Such an arrangement
suitably constructed according to well known principles results in a greater area
(according to the ratio of the frontal area of the cone or diaphragm to that of the
crystal) of the gaseous environment being displaced by the motion of the crystal.
Accordingly, a larger area moving through the same distance against the same opposition
offered by the gaseous environment results in more work being done by the crystal
than would be the case if the crystal were operated without benefit of the intermediate
structure. Depending upon the mass and rigidity of the cone or diaphragm, the performance
of the device can be influenced in various ways, but if a highly directional output
is required, only a modest improvement in output can be achieved, since the size of
the diaphragm is limited by the necessity for maintaining a coherent wavefront and
a gross impedance mismatch remains.
[0009] A third well known means whereby the vibrating element may be made to do more work
on, and thereby impart more energy into a gaseous medium is to place one or more impedance
transforming transmission line sections between the crystal and the gaseous environment.
This latter method of impedance matching has been fully described in United States
Patent No. 3,674,945 issued July 4, 1972 to Hands for "Acoustic Matching System".
The operation of this latter method depends upon the-acoustical properties of the
matching section or sections which are placed between the high impedance crystal and
the low impedance gaseous medium and upon those of the crystal and the gaseous environment
themselves. The effect of a properly devised matching structure of this type is that
it allows the motion at the interface between the structure and the gaseous environment
to be much greater than the motion at its opposite end at the interface between the
structure and the crystal surface. Thus a short powerful stroke at the high impedance
end of the structure, at the crystal face, is transformed into a much longer but less
forceful stroke at the low impedance end of the structure at the interface with the
gaseous medium.
[0010] The severity of the impedance mismatch between a piezoelectric crystal and a medium
such as air is readily demonstrated. For example, in the case of a piezoelectric crystal
being utilized without a matching structure for transmission of sound power into air,
the crystal may have to be driven at such large amplitudes of pulsation that the crystal
may fracture, while with the insertion of some form of matching structure between
the crystal and the air environment, the same sound power can be transmitted into
the air by driving the crystal at substantially reduced amplitudes of pulsation which
do not induce crystal fracture.
[0011] It should be noted that while the aforementioned use of a structure, constituting
sections of acoustical transmission line so chosen as to effect an impedance match
between the high impedance crystal and a low impedance air environment, does provide
improvement in sound transmission as compared to the absence of any such matching
structure, nevertheless, the efficiency of the arrangement remains extremely low,
and the degree of coupling to the medium is not high enough to provide any significant
damping of the oscillation of the crystal which must therefore be damped by other
means if a widened bandwidth is required.
[0012] Proposals have been made to match the impedance of a high impedance driving source
such as a piezoelectric crystal to a lower impedance environment such as air by the
use of an intermediate structure embodying a vibrating plate or disc, but it has not
been possible heretofore to achieve such a match without sacrificing directionality
and/or bandwidth.
[0013] An example of such a proposal is provided by Scarpa U. S. Patent No. 3,891,869 issued
June 24, 1975, wherein there is disclosed an acoustic transducer assembly including
a driving element comprising a piezoelectric generator in the form of a disc with
a high mass backing element bonded to one face and an acoustic wave transformer bonded
to the other. The wave transformer element varies in cross-section in an axial direction,
comprising discs of maximum dimension at the generator face and at the radiating face.
Beginning at line 48, column 2 of the disclosure,the statement is made that the transformer,
including the disc, functions to step down the impedance by increasing the area of
contact at the radiating surface, which moves in small arc vibrations at high velocity.
[0014] In the device described in the Scarpa patent, a highly directional field of sound
emission is not a requirement. In point of fact, a main feature of the device is that
phase differences across the vibrating disc cause the central lobe of radiation to
be suppressed, and cause the side lobes to be enhanced to the point that a major portion
of the energy radiated is radiated away at an angle of about 45 degrees to the main
axis of the device.
[0015] Another prior art proposal is described in a paper by
J. A. Gallego-Juarez, G. Rodriguez-Corral and L. Gaete - Garreton, published in the
November, 1978 issue of "Ultrasonic".
[0016] In that paper there is described a transducer utilizing a stepped vibrating plate
to effect an impedance match between a source of ultrasound vibrations and a gaseous
environment, whilst providing highly directional radiation. Although an effective
impedance match is obtained by the device,its bandwidth is extremely narrow, typically
being about 10 hertz for a device operating at about 20,000 hertz corresponding to
a Q of about 2,000. A device with such a high Q is suitable for production of continuous
sound at a fixed frequency, but is not suitable for use in pulsed echo-ranging applications
where it is necessary that the transducer exhibit a much lower Q providing a bandwidth
of at least 5 to 10 percent of the resonant frequency.
[0017] Hitherto, transducer systems suitable for pulsed echo-ranging applications in gaseous
mediums have been of the type disclosed in U. S. Patent No. 3,674,945, or more simple
and inefficient coupling methods have been used, together with some mechanical and/or
electric means for damping the vibrating element thus leading to very low efficiencies.
A further problem with such systems arises in applications where a substantial range
is required. Since absorption of sound energy by gaseous media increases with frequency,
longer ranges require not only greater power but lower frequencies, and this means
that to obtain the required directionality and power output, larger transducer elements
must be used. The piezoelectric materials widely used for such elements are both expensive
and massive, and whilst it would be entirely possible to produce a transducer system
according to U.S. Patent No. 3,674,945 which will perform satisfactorily at 10 kHz,
the mass and cost of such a system would be excessive for normal commercial applications.
[0018] According'to the invention a broadly tuned directional acoustic transducer system
comprising a vibratable member, e.g. a plate, having a radiating surface and a higher
order flexural mode resonance at substantially the operating frequency of the system,
and a transducer element, of much smaller effective area than the radiating surface
of the vibratable member, connected to the vibratable member for excitation of, or
response to, said higher order flexural mode resonance, is characterised in that at
least alternate antinodal zones of the radiating surface of the vibratable member
are coupled to a gaseous propagation medium by means formed of low-loss acoustic propagation
material of much lower acoustic impedance than the vibratable member and applied at
least to said alternate antinodal zones of the radiating surface thereof in a thickness
selected to differentiate at. least one of the relative phase and the relative amplitude
of the radiation from adjacent antinodal zones sufficiently to reduce substantially
mutual cancellation, in the far field and in the desired direction of radiation, of
sound radiated into said medium from adjacent antinodal zones of the vibratable member.
[0019] Preferably the vibratable member is axisymmetrically resonant and in presently preferred
forms of the invention is in the form of a a disc-shaped plate coupled axially to
the transducer element, the axis of the plate and the disc also being the directional
axis of the system. With a disc-shaped plate, the covering low-loss acoustic propagation
material is arranged in concentric rings covering adjacent antinodal zones, the thickness
of adjacent rings being different so as to produce coherency of radiation in the axial
far field. In one embodiment of the invention the thickness of material covering alternate
zones is zero, i.e. alternate zones are uncovered. The matching into the propagation
medium from the covered zones can thus either be made so much better than that from
the uncovered zones that substantially no phase cancellation occurs in the axial far
field, or sufficient phase shift can be introduced in sound radiated from the covered
zones to substantially reduce cancellation. Alternatively the whole radiating, surface
of the vibratable member may be covered by material, of thickness such that there
is both phase shift of radiation from alternate zones, and acoustic impedance matching
between the vibratable member and the propagation medium, usually air. The covering
material need not be uniform, and adjacent zones could be covered by different material,
or the material could comprise layers of different materials or have graded properties
provided that the desired phase and/or amplitude modification is achieved. The improved
coupling of the system to the medium damps the system thus reducing its Q and rendering
it capable of use in echo-ranging techniques without external damping.
[0020] The invention will now be further described, by way of example, with reference to
the accompanying drawings, in which:
Figure 1 is an exploded perspective view of a first embodiment of an acoustic transducer
system without its protective housing;
Figure 2 is a plan of a second embodiment of an acoustic transducer system supported
in a protective housing;
Figure 3 is an axial section through the embodiment of Figure 2, and
Figure 4 is an axial section through a third embodiment of an acoustic transducer
system.
[0021] Referring first to Figure 1, a directional transducer system suitable for transmitting
and receiving pulses of sound at a predetermined frequency comprises a pair of annular
piezoelectric crystal elements 2 operating mechanically in series in an axial compressive
mode, electrical contact with the ends of the ele- nents being made through lugs on
conductive brass washers 4. The elements may be of lead zirconate titanate or other
suitable piezoelectric material and connected to a winding of a suitable electrical
matching transformer 6 (see Figure 3) through which electrical signals are transferred
to and from the transducer.
[0022] The elements 2 and their connection washers 4 are sandwiched between a loading block
8 and a vibratable member 10 having a disc-shaped upper part with a flat upper surface
and a lower part of inverted conical configuration. Measured parallel to the axial
direction, the member 10 is thicker in a middle or axial portion than at its periphery,
and the entire sandwiched assembly is held together by a through bolt 12 and a nut
14. The diameter of the upper part of the plate 10 is much greater than that of the
elements 2, and the material and dimensions of the member 10 are selected so that
it exhibits a higher order flexural mode resonance, exhibiting in the case under consideration
a single nodal circle, at a frequency close to the desired frequency of operation.
In this mode of resonance, the zones of the member 10 radially inside and outside
the nodal circle are moving in antiphase.
[0023] Attached to the zone of the upper surface of the plate radially outside the nodal
circle is a ring 16 of lower density elastic material, typically closed-cell polystyrene
or other synthetic plastic or rubber foam, or non-foamed resilient synthetic plastic
such as polyurethane. The material should be such as to allow propagation of the sound
waves with low losses, i.e. it should exhibit low hysteresis as an acoustic propagation
medium. The axial thickness of this ring is discussed further below but is such that
sound waves passing through it from the member 10 undergo a phase reversal as compared
to waves passing through a similar thickness of air. (It is assumed for convenience
that the system is operating in air, and this will normally be the case, but it will
be understood that the invention is equally applicable to systems operating in other
gaseous media.)
[0024] In a preferred arrangement, further rings 18 and 20 of low density low hysteresis
acoustic propagation material, which may be the same as or different to that of the
ring 16, are applied, respectively, over the ring 16 and against the member 10 within
the nodal circle. These rings have a common axial thickness which is an integral odd
number of quarter wavelengths of sound at the operating frequency in the material
of the rings so as to provide acoustic impedance transformation between the member
10 and the adjacent air. .
[0025] In the embodiment shown in Figures 2 and 3, parts functionally similar to those of
Figure 1 carry the same reference numerals. The vibratable member is of uniform thickness,
which both simplifies manufacture and greatly assists in predicting its resonance
characteristics, and will be referred to as the plate 10. It is operated in a still
higher order flexural resonance mode, with three nodal circles, so that the number
of rings 16, l8, 20 is correspondingly increased. An additional loading and driving
block 22 is provided to couple the transducer elements to the plate 10. The transducer
elements 2 are shown as being four in number, but this will depend on the operating
frequency required, the piezoelectric material utilized, and the dimensions of the
system. The system is enclosed, except for the radiating surface of the plate 10,
in a housing 24 in which it is sealed by peripheral polyurethane seal 26 and a felt
seal 28. An air space 30 beneath the plate is filled with a foam rubber sound absorber,
whilst the transducers and driving blocks are wrapped in cork 32 and surrounded by
potting compound 34. It will be understood by those skilled in the art that this packaging
of the system can be varied within a wide scope to meet different requirements and
environments provided that the proper function of the system is not substantially
obstructed.
[0026] The operation of the embodiments so far described will be better understood by reference
to experiments carried out by the inventor. In all of these experiments, the transducers
were driven by a square wave voltage source having an 800 volt peak to peak amplitude
in bursts of approximately 2 milliseconds duration. Sound pressure levels were measured
in microbars peak-to-peak at a distance of 8 feet from the transducer using an appropriately
calibrated Bruel and Kjaer condenser microphone type 4133.
[0027] The system shown in Figure 1 was constructed using a member 10 of aluminum having
an upper surface 12.5 cm in diameter. The system was first tested with the rings 16,
18 and disc 20 omitted, at three different resonant frequencies. At the lowest frequency
tested, 7.09 KHz, the member 10 acted essentially as a piston, and a radiation pattern
was observed with fairly good directional properties, the axial lobe having a 3 dB
beam width of about 20°, with all side lobes more than 12 dB down, but the coupling
into air was poor. The maximum sound pressure level measured occurred on the axis
of the transducer and was 120 microbars peak-to-peak. The Q of the system was unacceptably
high for pulse echo-ranging applications. At the next resonance of the plate at 15.56
KHz, the member 10 was radiating essentially in the flexural mode, and the radiation
pattern showed only a small central lobe with much larger side lobes, such a pattern
being unsuitable for most echo-ranging techniques. The sound pressure level on axis
was only 87 whilst what of the first side lobe was 250. Almost all the energy was
concentrated in the first and second side lobes. At a frequency of 33.5 KHz, corresponding
to a higher order flexural mode, the radiation pattern had deteriorated still further,
and the sound pressure levels of the first and second side lobes were 140 and 125
respectively.
[0028] Application of the ring 16, which was of insulation grade polystyrene foam, 14.3
mm thick and 19 mm wide, resulted in slight alteration of the second of the two resonant
frequencies discussed above to 16.07 KHz, but a striking change in the radiation pattern
which became excellent with a 3 dB beam width of 10
0 and all side lobes more than 12 dB down. The maximum sound pressure level was once
more on the transducer axis and increased to 550. The ring 16 was calculated, as discussed
below, to provide a 180 degree phase reversal of sound radiated from the part of the
disc outside the nodal circle, the position of which was determined visually by conventional
means.
[0029] When the rings 18 and 20 were added, these being of low density polyethylene foam
6.7 mm thick (corresponding to a quarter wavelength at the resonant frequency) the
performance of the system showed a further substantial improvement. The resonant frequency
altered slightly to .15.83 KHz, and the 3 dB beam width broadened slightly to 12.5°,
but all the side lobes were more than 18 dB down and the maximum sound pressure level
increased to 1700. The coupling to the medium was improved to a point at which the
damping was more than adequate for pulse echo-ranging techniques. In an echo test,
the amplitude of the electrical signal output from the transducer system due to receipt
of an echo returned from a hard target at different distances was as follows: from
1.5 metres, 2.5 volts peak-to-peak, from 2.25 metres, 1.60.volts peak-to-peak; from
3 metres, 1.15 v.p.p. The system was far lighter and used far less piezoelectric material
than would a system operating at the same frequency and providing the same beam width,
but constructed in accordance with the teaching of the Hands U. S. Patent No. 3,674,945.
[0030] In view of the success of the above experiments, further tests were undertaken using
plates 10 of uniform thickness as shown in Figure 3, although for test purposes the
housing 24 and its associated parts were not utilized. The effect of the seal 26 was
simulated by an external cork damping ring in some tests. The actual effect of the
seal 26 was also determined in subsequent tests, and whilst some loss of efficiency
was noted, this was not unduly serious. This minor problem can be mitigated if desired
by having the seal engage a nodal circle on the back of the disc. It was found that
the use of plates 10 of uniform thickness enabled the resonant frequencies and node
circle locations of the various flexural vibration modes to be calculated with a fair
degree of accuracy using generally known formulae, after which optimum parameters
could readily be determined by adjustment on test. It was also found that the nature
of the adhesive used to secure the various rings was not critical provided that it
did not introduce excessive discontinuities in the acoustic properties of the structure.
[0031] One of the objectives of the inventor was to provide a transducer system for pulse
echo-ranging applications which would provide a narrow beam width and substantial
acoustic power output at frequencies lower than are economically practicable with
known technology such as that of U. S. Patent No. 3,674,945. An experiment was therefore
carried out using an aluminum plate 10 which was 27.3 cm in diameter and 7.6 mm thick
in the system configuration shown in Figure 3 (except as already mentioned for the
housing). The assembly of the piezoelectric elements and the loading blocks, without
the plate, was first adjusted to resonate at approximately the desired resonant frequency,
set at 11.8 kHz for an initial experiment, in which the outermost ring 20 was omitted
and the periphery of the plate 10 was undamped. The phase correcting rings 16 were
of 20.6 mm thick polystyrene foam, whilst the impedance matching disc 18 and rings
20 were of 8.5 mm thick polyethylene foam, the parts being positioned so that their
edges coincided with the nodal circles. After optimization of the rings it was found
that the radiation pattern from the system showed a 3 dB beamwidth of 7.5°, a 12 dB
beamwidth of 15°, an axial sound pressure level of 830 and side lobes more than 20
dB down. When operated in a pulse echo-ranging system, a transducer output of 1.9
v.p.p. was obtained from a hard target at a distance of 2.15 metres.
[0032] Measurements were made of the electrical impedance of the transducer system with
and without the plate 10 attached, over a range of frequencies including the resonant
frequency, both the reactive and resistive components being recorded in both cases.
The difference between the two sets of figures represented the impedance due to the
plate, which at the resonant frequency was substantial and essentially resistive in
nature, amounting to about 850 ohms as compared to resistive and reactive components
of respectively about 1150 ohms and -1600 ohms for the system as a whole, thus indicating
substantial coupling into the medium and a low system Q.
[0033] Further experiments were carried out using a plate 20 cm in diameter and 2 mm thick,
again with a similar configuration to that shown in Figure 3 but with three rings
16, 11.5 mm thick, to suit a higher flexural mode. At an operating frequency of 2
2.2 kHz, the 3 db beamwidth was 7.5°, side lobes were at least 13.7 db down, and the
sound pressure level was 1500. The echo output returned from a hard target at 2.15
metres was 3.3 volts peak-to-peak.
[0034] For purposes of comparison, a transducer constructed according to the teaching of
the Hands U. S. Patent No. 3,674,945, having a radiating face of 19 cm diameter and
operating at 21 KHz, was tested under the same conditions. It had a 3 db beamwidth
of 9°, with side lobes 12 db down. The sound output of this transducer was greater,
measuring 2250 microbars, peak-to-peak. However the echo output was substantially
less measuring only 1.9 volts peak-to-peak for an echo returned from a hard target
at 2.15 metres. Further, such a transducer utilizes 8.4 Kg of piezoelectric material
while only 70 g of piezoelectric material were used in the test transducer.
[0035] In another test a transducer with a 14 cm diameter plate 4.9 mm thick and a similar
configuration to that shown in Figure 3, operating at 21.5 KHz, exhibited a 3 db beamwidth
of 8° with side lobes 14 db down and a sound pressure output of 1600 microbars peak-to-peak.
[0036] In view of the very great increases in coupling efficiency obtained with the embodiments
already described, and the quite good results obtained with the embodiment of Figure
1 with only the ring 16 applied, further experiments were carried out with transducers
in which the rings 18 and 20 were omitted. In order to reduce the development of unwanted
side lobes in the radiation pattern,even higher order resonance modes were tried out
in order to increase the number of nodal circles, operation in such modes enabling
use of a thinner disc to obtain resonance at a desired frequency in a given size of
disc. Such a modified transducer is shown in axial cross-section in Figure 4, in which
similar reference numerals to those used in Figure 3 are used to designate similar
parts. Only the points of difference will be described in detail.
[0037] The plate 10 is considerably thinner than that shown in Figure 3, the edge grommet
26 and felt seal 28 of Figure 3 being omitted. The rings 18 and 20 are also omitted,
whilst the rings 16 are applied to alternate antinodal.zones of the plate. Although
in the embodiment shown, the even numbered zones (counting from the centre) are'shown
covered by rings 16, the opposite arrangement has also been used. However, it is preferred
that the arrangement be such that the outermost full zone is covered, in the interests
of ensuring as high a ratio as reasonably practicable of covered to uncovered area
of the plate. In the embodiment shown there are ten antinodal zones and five rings
16 but this number may be varied provided that any required degree of side lobe suppression
can be obtained. The thickness of the rings 16 relative to their material is chosen
as discussed elsewhere so as to provide optimum matching of the radiating surface
of the plate to the gaseous medium, usually air, into which it radiates.
[0038] In the embodiment of Figure 4, a somewhat different driving connection is employed
between the transducer elements 2 and the plate 10. The loading block 22 is coupled
to the plate through a post 23. A filling 25 of foam, either chips or formed in situ,
is used to prevent reflections within the housing cavity, being separated from the
potting compound 34 by a cast-in-place polyurethane sealing membrane 27.
[0039] Transducers constructed in accordance with the embodiment of Figure 4 were tested
under the same conditions as those previously set forth in relation to the embodiments
of Figures 1 to 3.
[0040] A transducer was constructed in accordance with Figure 4 using a plate 10, 24 cm
in diameter and 1.3 mm in thickness, made of grade 6061-T6 aluminum. The rings 16
were of low-density closed-cell polyethylene foam having a density of 0.025 gm/cc,
and were 5.3 mm thick which is one quarter wavelength of sound in the material at
2lkHz, the operating frequency of the transducer. The driver assembly of transducer
elements, loading blocks and post was adjusted to resonate at this frequency. After
optimization of the placement of the rings 16 it was found that the radiation pattern
of the system at a test frequency of 21.0 kHz showed a 3 db beamwidth of 4.9°, a 12
db beamwidth of 8.3°, an axial sound pressure level of 3000 and side lobes at least
18 db down. When operated in a pulse echo-ranging system, a transducer output of 5.5
v.p.p. was obtained. from a hard target at a distance of 2.25 metres. The 3 db bandwidth
of the echo-ranging system was 1.9 KHz, corresponding to a system (two-way) Q of 11.2.
It was found that an even broader bandwidth could be obtained by offsetting the resonant
frequency of the disc from that of the driver assembly, a 1.2 KHz offset of the disc
resonant frequency providing a corresponding increase in bandwidth.
[0041] A further transducer was constructed for an operating frequency of 13 kHz in which
the plate diameter was increased to 33 cm, and the thickness of the rings 16 increased
to 7.6 mm to provide quarter wavelength matching. In this case the plate had 11 antinodal
zones, the odd numbered zones counting from the centre being covered by rings 16.
At a test frequency of 13.03 kHz the radiation pattern of the system showed a 3 db
beamwidth of 4.9°, a 12 db beamwidth of 9.1°, side lobes at least 15 db down, and
an axial sound pressure level of 5600. When operated in a pulse echo-ranging system,
a transducer output of 14.6 v.p.p. was obtained from a hard target at a distance of
2.25 metres. The 3 db bandwidth of the echo-ranging system was 1 kHz, corresponding
to a system Q of about 13.
[0042] It will be apparent from the above test results that even higher outputs can be obtained
from transducers in accordance with Figure 4 despite the simplified ring system, and
despite the fact that the mass of the transducer elements in the experimental transducers
was still further reduced relative to those constructed and tested in accordance with
Figures 2 and 3. In the Figure 4 embodiment, no attempt is made to reverse the phase
of sound radiated from alternate antinodal zones so as by this means to prevent cancellation
in the far field. Instead, cancellation in the far field is prevented by making the
output of sound radiated from alternate antinodal zones negligible compared with that
from the intervening zones. The mismatch between the plate and the medium in those
zones which do not carry rings 16 is so great that very little energy is radiated,
whilst the rings 16 are efficient radiators; consequently, there is no substantial
cancellation of energy radiated from the latter on the axis of the transducer. However,
interference between the radiation from different rings 16 prevents the development
of substantial side lobes in the radiation pattern. Although the effective radiating
area of the plate is reduced in proportion to the area not covered by the rings 16,
the examples show that this can readily be compensated for merely by increasing the
size of the plate so that the proportion of the plate energy transferred to the medium
in each vibratory cycle may actually be increased.
[0043] One disadvantage of prior art transducers such as that of the Hands U. S. Patent
No. 3,674,945 is that their performance can be drastically impaired by the deposition
of condensation or other liquid or greasy material on their radiating surface. This
is because the mass of the deposited material loads the matching material and alters
its tuning, thus greatly reducing or completely destroying its effectiveness until
the deposited material evaporates or is otherwise removed. A similar impairment also
occurs with transducers constructed in accordance with the Figure 2 and 3 embodiment
of the present invention. With Figure 4 embodiment, however, it was found that the
impairment was much less severe, and that the transducer would operate satisfactorily,
albeit at reduced output, even when its radiating surface was sprayed with water.
It is believed that this surprising result is occasioned by a change in the relative
functions of the two sets of antinodal zones. The water loads the matching rings 16
thus detuning them and impairing their matching function. They still act however to
phase-shift the sound radiated from the zones they cover relative to that from the
uncovered zones, which latter radiation becomes significant as that from the rings
16 is reduced. The phase shift is due both to the differential sonic velocity in the
ring material relative to air, and to the reactive characteristic of the detuned matching
section. The result of the phase shift is that the sound radiated from adjacent zones
is approximately in quadrature rather than in phase opposition with the consequence
that mutual cancellation is greatly reduced, and a significant output is retained.
This theory of operation was tested by gradually wetting the transducer radiating
surface whilst measuring its output. Although the output decreased with increasing
application of moisture, no zero or minimum was noted. Although the matching provided
by the rings 16 is lost, enhanced coupling to the medium can still be obtained because
of the large radiating surface relative to the effective area of the transducer element
which is permitted by the invention. This in itself effectively provides a substantial
degree of impedance transformation.
[0044] A transducer of reduced sensitivity to moisture could be provided by deliberately
detuning the matching rings 16 sufficiently that the application of moisture, dirt
or other surface loading will not very greatly change the phase shift applied by the
rings to the radiated sound or their radiating efficiency. Such an arrangement would
not normally be advantageous, since it would not improve the output of the system
in moist conditions. Another approach which was tested was to make the rings of lossy
material so that radiation therefrom was substantially reduced as compared with the
uncovered antinodal zones. This again sacrifices the matching which can be provided
by the rings, but also reduces the efficiency of the system since the rings will absorb
a substantial portion of the energy applied to the plate. It was not found that results
with such an arrangement were satisfactory. Reasons were its low efficiency and the
difficulty of providing effective sound absorbtion in a small thickness of material.
A further disadvantage is that, if effective absorbtion is obtained, the surface of
the rings is stationary and there is loss of the acoustic self-cleansing property
which is manifest in transducers according to the invention. For similar reasons,
where rings 16 of low loss material are applied to alternate antinodal zones, it is
not believed particularly advantageous to apply sound absorbing material to the intervening
zones.
[0045] Instead of or additional to the thickness of material applied to alternate antinodal
zones in the embodiment of Figure 4 being such as to provide otpimum impedance matching,=it
may be selected to provide approximately 180° phase shift, thus avoiding cancellation
in the axial far field.
[0046] Numerous further experiments have been carried out, some using different materials,
including synthetic plastic material for the plate 10, and for the rings 16, 18, 20.
The suitability of materials for these rings may be determined by the same criteria
as are discussed in detail in respect of the impedance matching layers used in the
system of the Hands U. S. Patent No. 3,674,945. The requirements of materials for
the plate 10 are high impedance, low mechanical losses during vibration, and high
elastic modulus. A plate 10 of a uniform thickness which is small compared to its
diameter will behave at resonance in the system just described as an effectively massless
body so far as the drive system is concerned, enabling the plate and the transducer
elements to be tuned independently. As well as assisting in the design of systems,
this feature provides the possibility of stagger-tuning the drive system and the transducer
elements so as further to broaden the bandwidth of the transducer system as a whole.
Plates having a diameter/ thickness ratio of between 25:1 and approximately 500:1
have been found to give good results but this range should not be regarded as limiting.
Plates in which the ratio is large are are usually preferred, since the spacing between
the nodal circles is reduced, thus permitting use of a higher order resonance for
a given plate diameter. A larger number of nodal rings will facilitate the avoidance
of unwanted side lobes in the transducer response. The Figure 2 and 3 embodiment has
three nodal rings although more are desirable and the Figure 4 embodiment has 10.
The experimental results obtained indicate that similar results would be obtained
with non-circular plates operating in symmetrical or asymmetrical flexural modes provided
that the correction material is applied in accordance with the same principles, although
the various zones of material in such cases will not necessarily be ring shaped since
their boundaries will be determined by the lines followed by the nodes on the plate.
While the plate must have a radiating surface which is large compared with the transducer
for the advantages of the invention to be realized, the principles of the invention
allow enlargement of the plate to a degree which enables greatly improved coupling
to the medium to be achieved even without the matching technique of U. S. Patent No.
3,674,945 being utilized, since the plate itself acts as an impedance transformer
by increasing the area of contact with the propagation medium.
[0047] It has been found that a wide range of elastic materials may be used for the rings
16, 18 and 20. Successful tests have been performed with materials ranging from polystyrene
foam with a density only 1.2% of that of the plate material to solid polyurethane
elastomer having a density 43% of that of the plate material. This latter material
results in slightly lower efficiencies and also has a greater effect on the resonant
frequency of the plate because of its greater total mass. On the other hand its use
facilitates manufacture and may provide.greater ruggedness. It also has the advantage
that the difference in the velocity of propagation of sound through it as compared
to the rate of propagation in air is greater than is the case with the foamed materials
tested, so that phase correction can be achieved with rings
'of quite small thickness. It also exhibits a very low hysteresis at the frequencies
of interest. It will of course be appreciated that the suitability of a material for
use in the rings 16, 18 and 20 will depend on its properties as a low-loss acoustic
propagation medium at the operating frequency of the system, and the relationship
of its acoustic impedance to that of the plate and the gaseous medium. Ideally, the
ratio of the acoustic impedance of the plate material to that of the rings should
be of the same order as the ratio of that of the ring material to that of the gaseous
medium, but a less than ideal relationship may be compensated for by other properties
of the ring material. Thus if the plate is aluminum, the gaseous medium is air and
the ring material is polystyrene foam, the ratios defined above are about 400 and
about 85 respectively, whereas when the ring material is solid polyurethane elastomer,
they become about 8 and about 4000 respectively. The material should not exhibit substantial
hysteresis in the propagation of acoustic waves at the operating frequency since this
will prevent proper operation and reduce efficiency. Materials with small closed cells
appear to provide the best results amongst foamed materials.
[0048] If the mass of the material forming the rings 16, 18 and 20 is appreciable relative
to the mass of the plate, the resonant frequency of the latter will be shifted significantly,
and due allowance must of course be made for this.
[0049] The various rings have been described as being separately formed but it is clear
that, when rings are applied to adjacent antinodal zones and particularly when they
are all formed of the same material, they could be formed as a single integrated moulding.
Moreover, whilst in the embodiments described with reference to Figures 1-3, the total
thickness of material applied over adjacent antinodal zones of the member/plate is
shown as alternating up and down, this need not be the case provided that the thicknesses
comply with the requirements to be discussed below.
[0050] As is discussed in U. S. Patent No. 3,674,945, material used for matching purposes
should be an odd number of quarter wavelengths thick. In those embodiments of the
transducer in which adjacent antinodal zones are to be matched to the medium, alternate
antinodal zones also require to be covered with material (which need not be the same
material) to an additional thickness providing approximately 180° phase shift as compared
with sound passing through an equivalent thickness of air (or whatever other gaseous
medium may be involved). This thickness can be shown to be n/2f(1/C
o-1/C
1) where n is an odd integer, f is the frequency of operation, C is the speed of sound
in air and C
1 is the speed of sound in the material used. If this thickness can be selected so
as'also to meet the matching requirement, so much the better. Clearly there should
be a significant difference between C and C
1 to keep the thickness reasonably small. It should be understood that experiment will
usually be necessary to optimize the thickness of the material applied to the plate
since the velocity of sound, particularly in foamed material, is inter alia a function
of the frequency of operation and the configuration and sometimes the orientation
of the material.
[0051] Since the phase correction and matching material (the rings 16, 18, 20 in the embodiments
described) are of low density material of lower acoustic impedance than the plate
they usually add little mass or stiffness to the latter and thus have relatively little
effect on its resonant frequency. This permits a relatively thin disc to be used so
that its surface area is very large compared to its volume and thus to the energy
stored within the disc. Since the rate of transfer of energy from the plate to the
surrounding medium is proportional to the area of the radiating surface, the proportion
of the energy stored within the plate that is transferred to the medium during each
cycle is increased, and the Q of the system is thus decreased. Moreover, since the
ratio of the area of the plate to the effective area of the transducer element or
elements is very large, a much smaller transducer element may be used to achieve a
given transfer of energy. Thus the transducer element utilized in the various experiments
described typically contain about 70 - 150 gm lead zirconate titanate, whereas a 10
k
Hz transducer of comparable performance constructed in accordance with U. S. Patent
No. 3,674,945 would probably require of the order of 50 kilograms of expensive piezoelectric
material and have a lower efficiency.
[0052] Whilst in prior art transducers such as those in accordance with U. S. Patent No.
3,674,945 it has been usual to employ barium titanate as the piezoelectric material,
it is an advantage of the present invention that it is possible to utilize lead zirconate
titanate transducer elements which have somewhat superior performance. The latter
material can readily be fabricated into annular elements suitable for use in the present
invention, but is not readily fabricated into elements suitable for use in transducers
such as that of U. S. Patent No. 3,674,945.
[0053] The coupling between the transducer elements and the vibrating plate may be modified
in various ways. As already described with reference to Figure 4, good results have
been obtained with an arrangement in which the transducer elements are mounted between
identical loading blocks and the assembly is coupled to the plate by a short post,
one end of which is attached to the assembly and the other to the plate. This post
could also be replaced by a mechanical amplifier such as that described by Gallego-Juarez
et al in the November 1978 issue of Ultrasonics at page 268.
[0054] Although all of the embodiments specifically described relate to arrangements in
which the edges of the plate are essentially free, it is of course possible to use
a plate which is clamped or otherwise fixed at its periphery, in which case a nodal
circle will coincide with the periphery of the plate. Such an arrangement may be advantageous
in some cases, particularly when it is desired to provide a flameproof system for
use in environments presenting a fire or explosion hazard.
[0055] The term "higher order flexural mode resonance" used in this specification and the
appended claims is to be taken to include any form of flexural mode resonance of a
plate which gives rise to at least two antinodal zones separated by a node and radiating
(in the absence of the modification) in antiphase to one another.
1. A broadly tuned directional acoustic transducer system comprising a vibratable
member (10) having a radiating surface and a higher order flexural mode resonance
at substantially the operating frequency of the system, and a transducer element (2),
of much smaller effective area than the radiating surface of the plate, connected
to the vibratable member for excitation of, or response to, said higher order flexural
mode resonance, characterised in that at least alternate antinodal zones of the radiating
surfaces of the vibratable member (10) are coupled to a gaseous propagation medium
by coupling means formed of low-loss acoustic propagation material (16, 18, 20) of
much lower acoustic impedance than the vibratable member and applied at least to said
alternate antinodal zones of the radiating surface thereof in a thickness selected
to differentiate at least one of the relative phase and the relative amplitude of
the radiation from adjacent antinodal zones sufficiently to reduce substantially mutual
cancellation, in the far field and in the desired direction of radiation, of sound
radiated into said medium from adjacent antinodal zones of the vibratable member.
2. A system according to claim 1, characterised in that the thickness of low-loss
acoustic propgation material (16) applied to said alternate zones is an odd number
of quarter-wavelengths of sound in the material at the operating frequency of the
system and no such material is applied to the remaining zones.
3. A system according to claim 1, characterised in that the thickness of low-loss
acoustic propagation material (16, 18) applied to said alternate zones differs from
that (20) applied to the. remaining zones by an amount such that the sound reaching
the far field from said alternate zones undergoes a phase shift, compared with that
radiated from the remaining zones, sufficient substantially to reduce cancellation.
4. A system according to claim 1, 2 or 3, characterised in that the vibratable member
(10) is axisymmetrically resonant and axisymmetrically coupled to the transducer element.
5. A system according to claim 1, 2 or 3, characterised in that the vibratable member
(10) is a disc of uniform thickness, and both the vibratable member (10) and the transducer
element (2) are tuned to resonant frequencies close to the operating frequency of
the system.
6. A system according to claim 1, 2 or 3, characterised in that the vibratable member
(10) is a disc of uniform thickness, and the ratio of the diameter of the vibratable
member to its thickness is between 25:1 and 500:1.
7. A system according to claim 3, characterised in that each antinodal zone of the
vibratable member is covered with said material (16, l8, 20) to a thickness which
differs by n/2f(1/Co-1/C1) from that covering the next zone, where n is . an odd integer, f is the frequency
of operation of the system, C is the velocity of sound in the gaseous medium, and
Cl is the velocity of sound in the material.
8. A system according to claim 3 or 7, characterised in that at least some of the
aninodal zones of the vibratable member (10) are covered with low-loss, acoustic impedance
matching material (18, 20) to a thickness equal to an odd number of quarter wavelengths
of sound at the velocity of sound in said matching material.
9. A system according to claim 1, 2 or 3, characterised in that the low-loss acoustic
propagation material (16, 18, 20) is selected from closed-cell foamed synthetic plastics
and unfoamed elastomers.
10. A system according to claim 1, 2 or 3, characterised in that the vibratable member
(10) is a disc having at least three nodal rings.