A Laguerre polynomial approach to surface acoustic wave propagation in multilayered structures

Abstract

The Laguerre polynomial technique is an efficient method which can be used to solve the field equations of surface acoustic wave (SAW) propagation. In this paper field distributions and velocities in multilayered structures are obtained by this simple and noniterative method. Formulations are given for open-and short-circuit boundary conditions. Calculations for the SAW velocity of a ZnO film on a silicon substrate are presented and these are compared with other calculations from the literature. Numerical results are also given for GaAs/AlGaAs multilayered structures.

The Complex Rayleigh Waves in a Functionally Graded Piezoelectric Half-Space: An Improvement of the Laguerre Polynomial Approach

“…[32] investigated the calculation of wave properties in an inhomogeneous half-space using the Laguerre orthogonal polynomials. Kim and Hunt investigated the surface acoustic wave propagation in multilyered half-space by using the Laguerre polynomial technique [33] and extended the method to examine the acoustic fields and velocities for surface acoustic wave propagation [34]. The conventional Laguerre orthogonal polynomial approach takes the wave numbers k as independent variables while taking the frequencies ω 2 as eigenvalues, but only one square term is related to ω in the Rayleigh wave governing equation.…”