Diffraction by an acoustically penetrable or an electromagnetically dielectric half plane II

Abstract

The present work gives a mathematical model for an acoustically penetrable or electromagnetically dielectric half plane. An approximate boundary condition is derived which depends on the thickness of, and the material constants which constitutes, the half plane. A solution is obtained, using the approximate boundary condition, for the problem of a line source field diffracted by a semi-infinite penetrable/dielectric half plane. The asymmetry of the approximate boundary condition results in a matrix Wiener-Hopf problem, which is solved explicitly.