Weinstein's Diffraction Problem: Embedding Formula and Spectral Equation in Parabolic Approximation

Abstract

A short-wave problem of reflection and radiation by an open end of a two-dimensional planar waveguide is studied. The incident mode is assumed to have frequency close to the cut-off. The problem is studied in the parabolic approximation. A recently developed approach based on the embedding formula and the “spectral” equation for the directivity of an edge Green's function is applied to the problem.