Novel exact surface wave solutions for layered structures

Abstract

Novel exact solutions describing surface acoustic waves on general layered structures have been found by the method of variable separation. First, solutions have been constructed with plane wavefronts and involving polynomial dependence on lateral variables. Second, their inhomogeneous plane-wave analogues have been found. At last, beam-like solutions highly localized at large lateral distances in a given sector have also been considered.

On the causality of the Rayleigh wave

“…Parker [2012] later generalised their results for evanescent Schölte waves with an arbitrary profile. Surface waves in layered structures [Kiselev and Rogerson 2009;Kiselev et al 2007] have also attracted considerable attention. Among other contributions, we note the approach of Rousseau and Maugin [2011] associating the quasiparticles with the Rayleigh wave, along with papers developing the mathematical theory of surface waves in anisotropic media, e.g., [Achenbach 1998;Prikazchikov 2013;Parker 2013].…”