A general nonlinear Mason model of arbitrary nonlinearities in a piezoelectric film

The widely used Mason equivalent circuit is an exact 1-dimensional linear acousto-electric solution for a piezoelectric plate of finite thickness. When the nonlinear property of the piezoelectric medium cannot be ignored, an appropriate modification has to be made to the piezoelectric constitutive equations. An exact solution, within the desired numerical accuracy, to the nonlinear acousto-electric problem may be readily obtained from a careful inspection of the Mason model and its governing equations. The resulting nonlinear equivalent circuit consists of a linear Mason circuit for the linear part of the constitutive equations and an additional nonlinear voltage source to each of the acoustic and electrical branches.