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Recently we demonstrated that a single frequency-independent constant in a P-matrix approach is sufficient to describe the IMD3 of a variety of devices on LiTaO3-42YX including test devices and duplexers. In this work we investigate this effective nonlinear constant in more detail. Starting from a FEM simulation we calculate the linear fields at the frequencies of the input tones and combine them with the help of nonlinear tensors to get sources for nonlinear fields at mixing frequencies. The determination and analysis of the nonlinear shift of the resonance frequency yields an effective nonlinear coupling constant. This approach has been applied to LiNbO3-rot128YX. The value of the effective nonlinear constant calculated for this system is compared to the corresponding value extracted from nonlinear P-matrix simulations of IMD3 measurements.
In a recent paper it has been shown that the effective nonlinear constant which is used in a P-Matrix approach to describe third-order intermodulation (IMD3) in surface acoustic wave (SAW) devices can be obtained from finite element (FEM) calculations of a periodic cell using nonlinear tensor data [1]. In this paper we extend this FEM calculation and show that the IMD3 of an infinite periodic array of electrodes on a piezoelectric substrate can be directly simulated in the sagittal plane. This direct approach opens the way for a FEM based simulation of nonlinearities for finite and generalized structures avoiding the simplifications of phenomenological approaches.