Edge diffraction of high-frequency coherence functions in a random medium

Abstract

A recently formulated geometrical theory of diffraction for coherence functions of high-frequency fields propagating in a random medium is applied here to the canonical problem of line-source field diffraction by a perfectly reflecting wedge. The solution strategy for various regular and transitional ray-optical domains, indicative of what will be done also for other configurations, involves transport of two-point coherence functions, random fields, and two-point random functions, using multiscale expansion propagators.