The Analysis of Surface Acoustic Waves in A Finite Solid with Electrodes by the Rayleigh-Ritz Method

Abstract

The analysis of surface acoustic waves (SAW) in finite solids with complications such as electrodes is of great importance in resonator design. As a simplification of the analysis of actual SAW resonators, we apply the Rayleigh-Ritz method to an isotropic substrate for the formulation and numerical analysis of effects of electrodes on the wave velocity and frequency spectra.It is shown that accurate results of frequency of Rayleigh waves can be obtained at reasonable costs in the computation of eigenvalues from the dense stiffness and mass matrices. As it is known, the computational time are spread to the numerical integration of elements of matrices and the extraction of eigenvalues of the generalized eigenvalue problem, although the size of matrices is small but the matrices are dense, which is in contrast with the FEM approach.The Rayleigh-Ritz method provides another effective technique in the analysis with possible development of efficient tools for the design of SAW resonators.