Eigenfunction Expansion of SH Wave-Fields for a Layered Medium Having an Irregular Interface

Abstract

Mathematical viewpoints of the eigenvalue problems provide geometrical aspects forintegral equations used in various phisical ploblems. One of the authers Touhei previously showed spectral representation of Green's function concerned with the scattering problem for a layered acoustic half-space. This paper shows a representation of SH wave-fields for a layered medium having an irregular interface in terms of eigenfunctions for the continuous spectra and verifies applicablity of these expressions to the boundary integral equations.