Transient response optimization of piezoelectric disc transducers by time domain techniques

Design procedures for reducing the mechanical ringing of piezoelectric disc transducers under impulsive electrical excitation are examined. The transducer was treated as a three port device: the two mechanical ports and one electrical port. Improvements to the transient response were sought through the determination of appropriate matching networks at the ports. The optimization of specified time domain characteristics was accomplished by performing a gradient search over a parameter space defining the port matching configurations. The transducer and mechanical matching sections were modeled using the Mason equivalent circuit and the distributed parameter wave guide model. Transformation to the time domain was achieved using a numerical approximation to the Laplace transform.