Scattering of plane electromagnetic waves at the junction formed by a PEC half-plane and a half-plane with anisotropic conductivity

In this study, scattering of plane electromagnetic waves at the junction formed by a PEC half-plane and a half-plane with anisotropic conductivity is investigated. By using the Fourier transform technique the problem is formulated into a matrix Wiener-Hopf system and an exact closed-form solution is obtained for the most general case by factorizing a 2×2 Wiener-Hopf matrix. Also, four different special cases are examined which in all, by using the Fourier transform technique the problem is formulated into a pair of simultaneous Wiener-Hopf equations which are decoupled via a polynomial transformation and solved through the standard procedure. The diffracted field is expressed in a form suitable for GTD applications and the effects of the resistivities of the anisotropic half-plane on the diffraction coefficient are also investigated