Electromagnetic diffraction by arbitrary-angle impedance wedges

Abstract

The problem of the diffraction of a plane electromagnetic wave incident at an oblique angle on a wedge of arbitrary angle with general tensor impedance boundary conditions is solved using a semi-analytical approach. Application of Maliuzhinets' method transforms the boundary-value problem into coupled functional difference equations (FDEs) for two unknown Sommerfeld integral spectra in a basic strip. By explicitly separating out the singular parts of the spectra in the strip, followed by a partial inversion of the FDEs, we obtain integral representations of the regular parts of the spectra. The regular parts are then expanded in a Taylor series in terms of a new variable that conformally maps the strip on to a disc. This expansion reduces the integral representations to algebraic equations for the series coefficients and these are solved numerically. We examine the convergence of the procedure, compare the numerical solution with an available reference solution and present solutions of new problems.