Diffraction coefficient for a half-plane with anisotropic conductivity

The diffraction of obliquely incident plane waves by a half-plane having anisotropic conductivity is investigated. The half-plane is assumed to be perfectly conducting in one direction and to have finite conductivity in the transverse direction. The material of the half-plane is simulated by a resistive-type boundary condition with the resistivity being a constant tensor. By using the Fourier transform technique, the problem is formulated into a pair of simultaneous Wiener-Hopf equations which are decoupled by means of a polynomial transformation and then solved by standard techniques