Scattering of SH waves by surface cavities of arbitrary shape using boundary methods

Physics

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Scientific paper

In this paper a boundary method is used to numerically solve the problem of scattering of SH waves by a bounded surface cavity or arbitrary shape in a half-space. This method reduces the dimension of the problem by one, but avoids the introduction of singular integral equations. A close connection is established between this method and least-squares collocation. Results are obtained using a multipole expansion in terms of Hankel functions about the origin. Comparison with some known exact solutions for SH wave motion yields very good agreement. It is observed that, in the case of a trench with steep walls, local amplification factors can sometimes significantly exceed 100%.
Also: Instituto de Ingeniería, Universidad Nacional Autónoma de México, México.

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