Perturbation analysis of nonlinear signal generation in radio frequency bulk acoustic wave resonators

This paper describes perturbation analysis of nonlinear signal generation in radio frequency (RF) bulk acoustic wave (BAW) devices. Nonlinear constitutive equations with the h form are used where the electric flux density is an independent variable. In conventional ones with the e form, the electric flux density is a dependent variable. This choice makes generated nonlinear fields satisfy Gauss' law for electricity automatically. It is shown that non-linear characteristics of RF BAW devices can be simulated well by the simple first order perturbation analysis, and the harmonic balance analysis is not necessary. Origin of the nonlinearity is also discussed.