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 the exact analytical results. The numerical method was then applied to other transducer shapes where exact analytical results are not available: toroidal, elliptical, conical, and parabolic transducers. Among these transducers, the elliptical and the parabolic ones have never been studied in regard to their ultrasonic radiation characteristics. As expected, 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 non-focusing-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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