Functional methods in the study of diffraction by penetrable thick half-planes and wedges

Summary form only given. The problem of diffraction of electromagnetic waves by a penetrable wedge has produced a multitude of studies, and yet the problem is still unsolved. The authors discuss the technique applicable to right-angle wedges and which is based on one- or two-dimensional Wiener-Hopf techniques. They apply it to scattering by a thick half-plane made of isorefractive material. An analytical solution is obtained by solving modified Wiener-Hopf equations. In the case of infinite thickness, one has a right-angle isorefractive wedge, and the solution is obtained in closed form by factorization.