BACKGROUND OF THE INVENTION
[0001] The present invention relates to ultrasonic transducers for use with devices using
high frequency acoustic radiation and more particularly to such transducers which
are suitable for use in-acoustic microscopes.
[0002] Recent evolution of generation and detection of high frequency acoustic waves extending
up to 1 GHz can afford to provide an acoustic wave length of about 1 micron under
water, giving rise to availability of an acoustic microscope.
[0003] More particularly, an acoustic wave beam of an extremely small size is produced which
is projected on a target specimen and propagation loss of acoustic radiation due to
reflection, scattering and penetrant attenuation at the target is detected to obtain
information representative of elastic properties of the target. In order to apply
this principle to an acoustic microscope, a surface of the specimen is scanned two-dimensionally
with the focused acoustic wave beam and the perturbed energy is displayed on a cathode-ray
tube in synchronism with the scanning.
[0004] In such an apparatus, resolution which is a fundamental characteristic of this type
of apparatus depends on how much the size of the acoustic wave beam is reduced. A
prior art ultrasonic transducer, as shown in Fig. 1, directed to such a reduction
has a cylindrical crystalline body 20 as an ultrasonic wave propagation medium of
sapphire, for example, with one flat surface optically polished and opposite surface
formed with a concaved recess 25. An RF electric signal produced from an electric
signal source 10 is applied to a piezoelectric film 15 which in turn transmits an
RF acoustic wave in the form of a plane wave into the crystalline body 20. The acoustic
plane wave is focused at a given focal point F by means of a positive acoustical lens
40 formed at an interface between the arcuate recess 25 and an ultrasonic wave focusing
medium 30, typically water. As well known in the art, a sufficiently small ratio between
focal length and aperture size, that is, a sufficiently small F-number of the lens
can contribute to generation of the ultrasonic wave beam of a small size which approximates
its wave length. When irradiating this beam onto a target, -perturbed ultrasonic energy
is produced from the target. For reception of the perturbed energy, it is possible
to employ either a reflection mode using the same crystalline body and piezoelectric
film shown in Fig. 1 or a transmission mode using a crystalline body and a piezoelectric
element, similar to those of Fig. 1, which are positioned confocally.
[0005] Let R, C
1 and C
2 denote the radius of curvature of the concaved ultrasonic lens 40, the speed of sound
in the.lens material and the speed of sound in the focusing medium, respectively.
Then, the front-face focal length F is,

and the back-face focal length F' is,

The lens effect can be determined by multiplying a sound pressure distribution on
the back-face focal plane by a pupil function of the lens and subjecting the product
to a two-dimensional Hankel transformation. According to a lens theory in optics,
for the sake of obtaining good focussing effect, it is required that the sound pressure
distribution lie on the back-face focal plane and that the sound pressure distribution
on the back-face focal plane be of a uniform amplitude and phase of a plane wave or
subject to a Gaussian distribution in respect of amplitude and phase of a plane wave.
Another amplitude distribution may also attain the focussing effect but it requires
a great number of multi-lens systems for elimination of the lens aberration and is
unpractical for industrial purposes.
[0006] When the piezoelectric film shown in Fig. 1 is driven, the sound pressure distribution
occurs on the back-face focal plane inside the lens and assumes a sophisticated pattern
under the influence of the interference of acoustic wave. Therefore, it is of a great
significance in lens design to select aperture size (diameter) 2 ρ
o of the piezoelectric film, distance t between the film and the back-face focal plane
of the lens, and aperture size 2a of the lens.
[0007] Various sound pressure distributions of the acoustic wave transmitted from the piezoelectric
film to the interior of the lens are graphically shown in Fig. 2 by using the above
values. In the figure, a curve on the left of the ordinate axis represents a sound
pressure distribution along the lens axis and curves on the right represent orientational
distributions at distances in terms of normalized ℓ by ρ
o2/λ, λ being the wavelength of acoustic wave used. It will be appreciated that within
a distance of 1 (one) or ρ
o2/λ from the piezoelectric film covering a so-called near field, sophisticated patterns
occur which are due to the interference of the acoustic wave whereas outside the distance
of 1 or in a so-called far field, a Gaussian- . like (strictly, Airy function) distribution
occurs. Here, ρ
o2/λ is usually called a Fresnel focal distance.
[0008] Therefore, in one prior art lens design,
p , t and a are so designed as to yield the far field sound pressure distribution on
the back-face focal plane of the lens by determining t = ρ
o2/λ and a ≃ = ρ
o. Thus, as will be seen from Fig. 2, the acoustic wave obviously assumes the Gaussian-like
sound pressure distribution on the back-face focal plane. More specifically, as shown
in Fig. 3, the acoustic wave which is expected to assume the sound pressure distribution
at point A
o (corresponding to point B in Fig. 2) which is distant from the piezoelectric film
by ρ
o2/λ is irradiated onto the lens having an aperture of 2a (= 2
po).
[0009] Pursuant to a second lens design, the distance between the back-face focal plane
of the lens and the piezoelectric film is reduced to an extent that no interference
of ultrasonic wave occurs. While this second design has many applications in the range
of MHz frequencies, it is almost unpractical in the range of GHz frequencies. Because
with sapphire as a lens material, the ultrasonic wave at 1 GHz has a wavelength of
about 11 µm and there needs preparation of an extremely thin lens. Therefore, the
first design alone is practical.
[0010] The prior art measure according to the first design, however, is disadvantageous
as will be described below.
[0011] In the first place, as the frequency increases, the Fresnel focal distance ρ
o2/λ increases accordingly, a disadvantage thereby being such that ultrasonic attenuation
in the crystalline body forming the lens is aggravated and the cost for material is
increased. For p
o being 1 mm, for example, ρ
o2/λ for sapphire is drastically prolonged, amounting to about 91 mm with an accompanied
attenuation of 5 dB. For a fused silica lens, ρ
o2/λ is 166 mm and the attenuation is 54 dB.
[0012] In the second place, when the acoustic wave is necessarily increased in frequency
to increase the resolution of the acoustic microscope, it suffers from a large attenuation
within the focusing medium (typically water) in which it is focused. Accordingly,
in order to obtain a high resolution, there needs a lens having a small aperture.
Reduction in lens aperture corresponds to reduction in ρ
o2/λ so that in compliance with the reduced lens aperture, it is necessary to prepare
a piezoelectric film of a reduced aperture of the same size. For 1 GHz, for example,
the desirable lens aperture is 100 µm but a piezoelectric film of the corresponding
100 µm aperture is difficult to prepare and to handle and in addition, has a high
impedance level for which the impedance matching is difficult at RF electric signal
supplied.
[0013] As described above, the prior art measure has many difficulties for production of
an ultrasonic . transducer since it requires an extensively elongated crystalline
body and a piezoelectric film of a reduced aperture of the same size as a reduced
lens aperture.
SUMMARY OF THE INVENTION
[0014] An object of the present invention is to provide an ultrasonic transducer using ultra
high frequency wherein attenuation of the acoustic wave can'be minimized.
[0015] Another object of the invention is to provide an ultrasonic transducer which can
yield a high resolution even with a piezoelectric element of a larger aperture than
that of a lens.
[0016] To attain the above objects, the present invention is featured by an acoustic wave
propagation medium having an axial length which is 1/N (N: odd number) of a Fresnel
focal distance.
[0017] Specifically, the present invention analyzed the sound pressure distribution to find,
within the Fresnel focal point, axial points at which Gaussian-like distributions
of sound pressure take place and which correspond to 1/N (N: odd number) of the Fresnel
focal distance, and the present invention is based on this analytical result.
BRIEF DESCRIPTION OF THE DRAWINGS
[0018]
Fig. 1 is a schematic view to show construction and operation of a prior art ultrasonic
transducer.
Fig. 2 is a graphical representation to show sound pressure distributions of the acoustic
wave beam.
Fig. 3 is a diagrammatic representation to show a sound pressure distribution as applied
to the prior art transducer.
Fig. 4 is a diagrammatic representation to show a sound pressure distribution as applied
to an ultrasonic transducer according to the present invention.
Fig. 5 is a schematic view to show an ultrasonic transducer embodying the present
invention.
DESCRIPTION OF THE PREFERRED EMBODIMENT
[0019] The present invention has made a mathematical approach to sound pressure distributions
in the near field which are normally difficult to analyze to find that Gaussian-like
sound pressure distributions pursuant to an optical lens theory take place within
the Fresnel focal distance. It was then proven that a lens subject to such a sound
pressure distribution which occurs at a back-face focal plane of the lens can yield
a good focusing characteristic.
[0020] To detail with reference to Fig. 2, as far as the major beam is concerned, a Gaussian-like
sound pressure distribution takes place at an axial point other than ρ
o2/λ point, for example, at point A3.
[0021] Thus, in accordance with this invention, as shown in Fig. 4, the acoustic wave with
the sound pressure distribution taking place at point A3, for example, which is distant
from a piezoelectric element by ρ
o2/3λ is irradiated onto a lens of an aperture size of 2a
o (= 2
Po/3). A focusing characteristic fully equivalent to that of the prior art is then obviously
attributable to this sound pressure distribution incident to the inside of the lens
aperture, because the acoustic wave incident to the lens aperture of 2a
l (= 2
po) in accordance with the prior art assumes the sound pressure distribution which takes
place at point A
o distant from the piezoelectric element by ρ
o2/λ and which is similar to the sound pressure distribution as shown in Fig. 4.
[0022] As a result of computation, axial points like the point A3 correspond to ones at
which the sound pressure along the lens axis has the maximum value. More particularly,
axial ultrasonic distribution I at an axial point within the crystalline body which
is distant by ℓ from the piezoelectric disk element having a radius of p
0 is given by,

Distance ℓ
n at which the peaks take place satisfies,

where n = 0, 1, ...., so that,

stands.
[0023] In the equation (5), for n = 0, ℓ
o = ρ
o2/λ stands to provide the Fresnel focal distance; for n = 1,

stands to provide the point A
3. In the equation (5), ρ
o » λ holds in general so that ℓ
n ≃ ρ
o2/(2n + 1)λ stands. Consequently, it is concluded that axial points to meet the present
invention lie at distances which are l/(odd number) of the Fresnel focal distance.
The analytical result also showed that the axial ultrasonic distribution at point
A3 has a width within which the Gaussian-like distribution is present, the width being
expressed as 2p
o/3 by using the aperture size of the piezoelectric element.
[0024] In brevity, the present invention is based on the aforementioned analytical result
and grounded on the fact that there are axial points within the Fresnel focal distance
at which the Gaussian-like distribution takes place, that these points correspond
to 1/N (N: odd number) of the Fresnel focal distance, and that the width of the Gaussian-like
distribution to meet the present invention is 1/N of the aperture size of the piezoelectric
element.
[0025] Fig. 5 schematically shows one embodiment of an ultrasonic transducer in accordance
with teachings of the present invention. As shown, a cylindrical crystalline body
150 serving as an acoustic wave propagation medium and made of such a material as
sapphire or fused silica has one surface on which a piezoelectric element 145 is mounted
and the opposite surface in which a concaved lens 155 is formed. With this construction,
for the aperture size of the piezoelectric element 145 being 2p
o, the lens aperture size is selected to be 2p
o/N to make it possible to make use of point AN (N = 3, 5, 7, ...), and the axial length
of the lens crystalline body 150 is determined in such a way that the distance between
the piezoelectric element.145 and the back-face focal plane of the lens is ρ
o2/λN. In this manner, it is ensured that the acoustic wave of the Gaussian-like distribution
is incident to the lens interface and the fairly focused beam can be obtained. The
present inventor materialized an ultrasonic transducer for use at 1 GHz by using a
sapphire crystal lens, with such structural dimensions as p
o = 1 mm, the lens length is 13 mm and the lens aperture a is 143 µm, which dimensions
correspond to N = 7. If a portion of the acoustic wave other than the Gaussian-like
axial ultrasonic distribution incident to the lens aperture is irradiated onto a portion
of the interface other than the lens aperture and refracted thereat to be transmitted
into water (ultrasonic wave focusing medium 170), the lens characteristics will be
disturbed. Therefore, in accordance with this embodiment, the portion of the crystal-water
interface other than the lens aperture is applied with an absorbant 160 such as a
plastic material of epoxy resion or a vinyl tape, thereby preventing the sidelobe
being transmitted into the medium 170. The other portion than the lens aperture is
also tapered to prevent the transmission of the sidelobe into the medium 170 and to
mitigate the multiple echo within the lens.
[0026] If a lens with an aperture size of 143 µm according to this embodiment were prepared
in accordance with the prior art measure, a piezoelectric film with an aperture size
of 143 µm would be required which is very difficult to handle practically, and this
film would have an impedance level of 1 KΩ. The piezoelectric film of this embodiment,
however, is easy to match with a 50 Ω coaxial cable.
[0027] As has been described, the present invention can offer the piezoelectric film of
the aperture size which is easy to impedance-match with the electrical system and
easy to handle, and the lens aperture size which is 1/(odd number) of the piezoelectric
film aperture, thereby highly mitigating difficulties in lens design of the acoustic
microscope.
Amended claims in accordance with Rule 86(2) EPC.
1. An ultrasonic transducer using ultra high frequency comprising: an acoustic wave
propagation medium (150), a piezoelectric element (145) mounted on one surface of
the propagation medium (150), and an ultrasonic lens (155) formed in the opposite
surface of the propagation medium (150) and having a predetermined focal distance,
characterized in that said acoustic wave propagation medium has an axial length which
is 1/N (N: odd number. greater than one) of a Fresnel focal distance.
2. An ultrasonic transducer according to claim 1, characterized in that said piezoelectric
element (145) has a larger diameter size than the aperture size of said lens (155).
3. An ultrasonic transducer according to claim 1, characterized in that said lens
(155) has an aperture size which is sufficient to cause a major beam contained in
a sound pressure distribution occurring at a back-face focal plane of said lens (155)
to pass through said lens aperture.
4. An ultrasonic transducer according to claim 1, characterized in that said lens
(155) is tapered at an interface contiguous to a predetermined ultrasonic wave focusing
medium (170) in which the acoustic wave having passed through said lens (155) is focused.
5. An ultrasonic transducer according to claim 1, characterized in that said lens
(155) is applied with an absorbant (160) at an interface contiguous to a predetermined
ultrasonic wave focusing medium (170) in which the acoustic wave having passed through
said lens (155) is focused.