APPLICATION OF THE TRANSFER-FUNCTION METHOD IN CALCULATIONS OF THE DIRECTIVITY PATTERN OF ULTRASONIC TRANSDUCER

In this paper the authors applied an original transfer function method for calculations of radiation patterns in the case of Bessel circular transducers. It is known that the amplitudes of some natural vibration modes of circular plates are Bessel functions of zero order [R. R. Aggarval, JASA 24, 463 (1952)]. In the paper the natural vibrational modes of a circular disk-shaped ultrasonic transducer were employed. As it follows from the numerical calculations, it is possible to obtain for Bessel-like transducers the nondiffracting main lobe. The latter is in accordance with the suggestions of the paper [J. Durnin, J. Opt. Soc. Am. 4, 651 (1987)].