Dispersive surface waves in anisotropic linear electromagnetoelasticity

The occurrence of surface waves on a dispersive piezoelectric half-space is considered on the basis of a fully electromagnetic approach. A linear constitutive model is adopted which accounts for both dielectric and magnetic time-dispersion and a Coulomb-type gauge condition is introduced to derive a Stroh eigenvalue problem in the frequency domain. Compatibility conditions are obtained for surface modes in the ranges of quasi-acoustic and quasi-electromagnetic speeds. The propagation properties are derived having recourse to an asymptotic analysis for the transformed constitutive tensors and it is found that at most three surface waves can propagate in each range of speed. Dispersive solutions are also discussed in the quasi-static limit.