Electromagnetic Scattering by a Perfectly Conducting Rectangular Plate Buried in a Lossy Half-Space

The aim of this paper is the accurate and efficient analysis of the electromagnetic scattering by an arbitrary oriented perfectly conducting rectangular plate entirely buried in a lossy half-space. The problem, formulated as an electric field integral equation (EFIE) in the spectral domain for the surface current density on the rectangular plate, is discretized by means of Galerkin's method with a set of orthonormal analytically Fourier transformable basis functions factorizing the behavior of the unknown at the edges. In this way, fast convergence is achieved even for scatterer size of some wavelengths. Unfortunately, this method leads to the numerical evaluation of infinite double integrals of oscillating and slowly decaying functions. To overcome this problem, a new analytical technique that allows to write such integrals as combinations of very quickly converging integrals is introduced.