Propagation of surface acoustic waves across random gratings
- 15 November 1987
- journal article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 36 (15), 7827-7839
- https://doi.org/10.1103/physrevb.36.7827
Abstract
The propagation of surface acoustic waves of sagittal and of shear horizontal polarization across the grooves of a random grating is investigated theoretically. It is found that the attenuation rate of a sagittally polarized surface acoustic wave in the long-wavelength limit is proportional to (ka${)}^{4}$, where k is the wave vector of the wave and a is the transverse correlation length of the surface roughness. This is in contrast with the (ka${)}^{5}$ dependence of the attenuation rate found in this limit for sagitally polarized surface acoustic waves propagating across a two-dimensional, randomly rough surface. The dominant contribution to the attenuation rate of such a surface acoustic wave comes from its scattering into bulk waves. The attenuation rate of surface acoustic waves of shear horizontal polarization is found to be proportional to (ka${)}^{5}$ in the long-wavelength limit. The surface roughness gives rise to the wave slowing of surface acoustic waves of both polarizations.Keywords
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