A staircase model of tapered-thickness piezoelectric ceramics

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Abstract
Tapered-thickness piezoelectric ceramics have been used in novel devices and imaging techniques, such as wideband transducers and frequency-controlled acoustic-beam translation. However, further application requires an adequate theoretical model of these tapered ceramics. In this work a staircase model is developed in which the thickness gradient is represented as discrete steps. Each step is modeled as an independent, constant-thickness section which contributes to the net response. The theoretical electric input impedance, spectral content, pulse, and continuous-wave pressure profile responses obtained with the model are shown to be in close agreement with the measured response of a tapered piezoelectric transducer.

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