Abstract

We study the shear horizontal and sagittal elastic waves in polytype superlattices, formed by the periodic repetition of three different constituent materials. We use the surface Green function matching method for N non-equivalent interfaces in order to obtain the dispersion relations and the density of states. In this way it is possible to obtain the spatial localization of the different modes. The influence of the variation of the thickness of the constituent materials on the dispersion relation of the elastic modes is studied.

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