# US 4,399,387 A · Ultrasonic wave transducer > Agents: this data is available as JSON from the patentgrep API and MCP server — see https://patentgrep.com/llms.txt - Number: US 4,399,387 A - Document ID: US4399387A - Status: Granted - Kind: A - Application number: 06/215,902 - Filed: 1980-12-12 - Granted: 1983-08-16 - Earliest claimed: 1977-10-21 - Assignees: TDK Electronics Co., Ltd. - Inventors: Toda Kohji - Web page: https://patentgrep.com/patent/US4399387A ## CPC - G10K 11/346: {using phase variation} - B06B 1/0629: {Square array} - G10K: SOUND-PRODUCING DEVICES; METHODS OR DEVICES FOR PROTECTING AGAINST, OR FOR DAMPING, NOISE OR OTHER ACOUSTIC WAVES IN GENERAL; ACOUSTICS NOT OTHERWISE PROVIDED FOR - B06B: METHODS OR APPARATUS FOR GENERATING OR TRANSMITTING MECHANICAL VIBRATIONS OF INFRASONIC, SONIC, OR ULTRASONIC FREQUENCY, {e.g.} FOR PERFORMING MECHANICAL WORK IN GENERAL (for particular applications, see the relevant subclasses, e.g. B07B1/40, B23Q17/12, B24B31/06; measurement of mechanical vibrations G01H; in direction finding, locating, distance or velocity measuring G01S; {generating seismic energy G01V1/02}; control of mechanical vibrations in general G05D; sound-producing devices, e.g. bells, sirens, whistles G10K, {e.g. methods or devices for transmitting, conducting, or directing sound in general G10K11/00}; generation of electrical oscillations H03B; electromechanical resonators in general H03H; electromechanical transducers {for communication techniques, e.g. microphones, speakers} H04R) ## Abstract An ultrasonic wave transducer capable of generating a convergent ultrasonic sound beam has been found. The transducer comprises a piezoelectric substrate, at least one interdigital electrode group arranged on the surface of the piezoelectric substrate, each of said groups having a plurality of interdigital electrodes arranged in the longitudinal direction of the fingers of each interdigital electrode, said substrate being positioned in a liquid so that at least said interdigital electrodes contact with the liquid, and said electrodes being applied an alternating voltage with a predetermined phase difference thus providing a convergent sound beam in y-direction based upon the principle of interference between the sound beams, similar to the interference by a diffraction grating. Further, the non-uniform arrangement of the fingers of the interdigital electrodes provides the x-direction convergence, thus, an ultrasonic wave beam focusing at a single point is obtained. ## Claims ### Claim 1 An ultrasonic wave transducer comprising: a piezoelectric substrate having a planar surface and at least one interdigital electrode group arranged on said surface of said piezoelectric substrate, each of said groups having a plurality of interdigital electrodes, each electrode of which has a plurality of longitudinally-extending fingers, said plurality of electrodes being arranged in a row extending in the longitudinal direction of said fingers of each interdigital electrode, and said electrodes having electrical terminals for applying an alternating voltage thereto with a predetermined phase difference between each of said interdigital electrodes, so that when said transducer is disposed so that said interdigital electrodes thereof contact with a liquid, an ultrasonic wave is generated from said electrodes into the liquid, and wherein the period between said fingers of said electrodes satisfies r.sub.n.sup.2 =k.sub.1 n.lambda..sub.f L+k.sub.2 n.sup.2 .lambda..sub.f.sup.2 where, as defined with respect to cartesian coordinates, r.sub.n is the abscissa length between the n'th finger of the electrode and the focal point, .lambda..sub.f is the wavelength of the sound wave in a liquid, L is the ordinate length between the n'th electrode and the focal point, and k.sub.1 and k.sub.2 are constants. ### Claim 2 (depends on 1) An ultrasonic wave transducer according to claim 1, wherein said interdigital electrode is a three phase interdigital electrode and said alternating voltage is a three phase voltage. ### Claim 3 (depends on 1) An ultrasonic wave transducer according to claim 1, wherein said interdigital electrode is a bi-phase interdigital electrode and said alternating voltage is single phase voltage. ### Claim 4 (depends on 1) An ultrasonic wave transducer according to claim 1, wherein the period between fingers and the frequency of the electrical signal applied to the first group of interdigital electrodes are different from those of the second interdigital electrode group. ### Claim 5 A method for generating a convergent ultrasonic wave beam comprising the steps of: positioning a piezoelectric substrate having a planar surface and at least one interdigital electrode group composed of a plurality of interdigital electrodes, each electrode of which has a plurality of longitudinally-extending fingers, said group being arranged on said surface of the substrate, in a liquid so that at least said interdigital electrodes contact with said liquid, said plurality of interdigital electrodes being arranged in a row extending in the direction of said interdigital electrodes, and each of said electrodes being applied on alternating voltage of a predetermined frequency with the phase difference defined below ##EQU3## where m is an integer, .omega..sub.O is an angular frequency of the electrical signal, v.sub.w is the sound velocity in the liquid, Y.sub.n is the length between the n'th interdigital electrode and the origin point, .DELTA..phi.(y.sub.n) is the phase of the electrical signal applied to the n'th interdigital electrode, and (y,x) are coordinates, and wherein the period between said fingers of said electrodes satisfies r.sub.n.sup.2 =k.sub.1 n.lambda..sub.f L+k.sub.2 n.sup.2 .lambda..sub.f.sup.2 where, as defined with respect to cartesian coordinates, r.sub.n is the abscissa length between the n'th finger of the electrode and the focal point, .lambda..sub.f is the wavelength of the sound wave in a liquid, L is the ordinate length between the n'th electrode and the focal point, and k.sub.1 and k.sub.2 are constants. ### Claim 6 (depends on 5) An ultrasonic wave transducer according to claim 5, wherein said liquid is one selected from the group of water, ether, acetone and glycerine.