Abstract
Abstract : A method is formulated to accurately and efficiently model ultrasonic piezoelectric transducers. A computer program based on the Mason model for a longitudinal resonator has been developed which is able to model the performance of a variety of different transducers, including those of widely varying types of piezoceramics constructed with and without matching layers and backing materials. Equivalent circuits for each part of the transducer are developed and then pieced together to form a complete equivalent circuit. A detailed description of how the model is implemented in software is presented. It is designed to allow easy manipulation of all material parameters and dimensions in order to examine their effects on the electrical input impedance and transient response of the transducer. Modeled results are presented and compared with measurements of actual transducers in order to test the accuracy of the model. The usefulness of the program as an engineering tool is discussed.
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