Half-plane diffraction in a gyrotropic medium

Abstract

The diffraction problem of a plane wave obliquely incident on a half-plane embedded in a gyrotropic medium whose distinguished axis is parallel to the haft-plane's edge is considered. The problem is a generalization of previous work by Jull who treated normal incidence of a plane wave. The generalization is not trivial: indeed for many years the problem had been thought insoluble. We have found that the Wiener-Hopf-Hilbert (WHH) method provides a factorization of the Wiener-Hopf maxtrix encountered, and we obtain an exact closed-form solution.