Combination of finite element simulations and linear systems theory for pulse shaping of piezoelectric transducers used in therapy

A simulation procedure is presented to calculate the focal ultrasound pressure pulse from the driving voltage of a piezoelectric composite transducer or to calculate the required voltage from a given focal pressure pulse. The description of the transducer system including the driving circuit is done by linear systems theory. A transducer transfer function is derived by transient finite element simulations of the transducer structure. Focusing is assumed to be linear, which is valid for small amplitudes. Measurements validate the model.