Shear horizontal acoustic waves at the periodically corrugated interface between two isotropic elastic media

Abstract

On the basis of the Rayleigh method we have obtained two equivalent exact dispersion relations for acoustic waves of shear horizontal polarization propagating across the periodically corrugated interface between two different isotropic elastic media. These dispersion relations have been solved numerically, and the dispersion curve of the corresponding surface acoustic waves obtained. These waves exist for only a limited range of wave vectors in the immediate vicinity of the boundary of the one-dimensional first Brillouin zone of the periodically corrugated interface, in agreement with the results of earlier, perturbative studies of this problem. By continuing the solutions into the radiative region of the frequency-wave vector plane, we also calculate the attenuation of these shear horizontal interface acoustic waves.