Abstract
This paper is concerned with the scattering of surface waves by small perturbations in the elastic medium. A radiation condition is obtained which does not depend on the rate of decay of the waves at infinity. The representation theorems of elastodynamics are then extended to a multilayered half-space. The first-order perturbation theory of elastic wave propagation, when applied to problems of surface wave transmission, yields results which can be most elegantly stated by introducing the notion of surface wave content at a point. In this manner a one-dimensional transmission model is obtained.
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