Abstract

A numerical method was developed for predicting the radiated acoustic field from arbitrarily shaped ultrasonic transducers. The numerical method was first verified for a spherical transducer, and it was found that the numerical results agreed very well with exact analytical results. The numerical method was then applied to other transducer shapes: toroidal, elliptical, conical, and parabolic transducers. As will be shown in this paper, an ultrasonic transducer’s geometrical shape affects the radiated acoustic field and acoustic beam pattern, and thus characterizes its specific application. For both the focusing‐ and nonfocusing‐type transducers, the ultrasonic characteristics of focal length, depth of field/depth of penetration, beam radius, sidelobe level, and its radial location were calculated and are discussed.

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