The modeling of piezoelectric transducers using the FDTD method

Based on the works of the finite-difference time-domain (FDTD) method to the piezoelectrics, we have extended this method to analyze electromechanical phenomena of one-dimensional multilayer piezoelectric transducers for the first time. In this method, the piezoelectric governing equations and Newtonpsilas equation are discretized to centered finite-differences, and the update equations for the transmit-receiver voltage and the piezoelectric governing equations are derived for the first time, then numerical solutions of the acoustic propagation in the time domain can be obtained by these difference equations. The model is applied to analyze the influence of thickness of the matching layer on the receiver voltages, and the propagation of particle velocity and the particle stress signals are demonstrated in space-time. In addition, this letter also applied Pronypsilas method as an alternative to FFT since it capable of obtaining resonant frequencies from shorter time - domain responses. The technique is shown to be effective for the analyses characteristics of the wave propagating in multilayer transducers for both transient and steady-state problems.