Scattering of a sagittal surface acoustic wave from a large amplitude ridge or a deep groove

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1993
Authors
Baghai-Wadji, A.
Maradudin, A.
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Abstract

In [1] we presented a Green’s function theory for obtaining the frequencies of acoustic surface shape resonances of sagittal polarization associated with an isolated ridge or groove of rather general shape on a planar, stress-free surface of an isotropic elastic medium (for details we refer to [2]). It was shown that employing Green’s second theorem, and using tensor Green’s functions associated with the boundary value problem, the initial coupled partial differential equations can be converted into a coupled system of integral equations. Further, it was shown that by discretizing the boundary and using the method of moments (collocation technique), the mentioned integral equations can be transformed into a vector-matrix equation for obtaining a numerical solution. In the modern literature this technique is called the boundary element method (BEM).

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