Wave Propagation from a Point-Source in a Wedge-Shaped Layer on Top of a Half-Space

Abstract

The generalized ray integrals for the propagation of spherical acoustic waves from a point source to a (fixed) receiving point, following various paths of reflection and refraction are derived. The phase functions in the Weyl-Sommerfeld representation are constructively developed in terms of the apparent local slowness in two coordinate systems, one for each surface. Inversion of the Laplace-integrals requires the simultaneous transformation of time into two planes of complex slowness to render a pair of finite integrals for numerical evaluation.