A theoretical model of an ultrasonic transducer incorporating spherical resonators

Walker, Alan J. and Mulholland, Anthony J. (2016) A theoretical model of an ultrasonic transducer incorporating spherical resonators. IMA Journal of Applied Mathematics, 81 (1). pp. 1-25. ISSN 1464-3634 (https://doi.org/10.1093/imamat/hxv023)

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Abstract

This article considers the theoretical modelling of a novel electrostatic transducer in which the backplate consists of many spherical resonators. Three analytical models are considered, each of which produce impedance profiles of the device, in addition to transmission voltage responses and reception force responses, all of which closely agree. Design parameters are then varied to investigate their influence on the resonant frequencies and other model outputs.