A New High Efficient Analysis of the Scattering by a Perfectly Conducting Rectangular Plate

The analysis of the scattering by a perfectly conducting rectangular plate by means of Galerkin's method in the spectral domain with products of Chebyshev polynomials of first and second kind multiplied by their orthogonal weights as basis functions is fast convergent even for scatterers size of some wavelengths but leads to the numerical evaluation of infinite double integrals of oscillating and slowly decaying functions. The aim of this paper is the introduction of a new analytical technique that allows to write such integrals as combinations of very quickly converging integrals.