Simple analytical solution to electromagnetic scattering by two-dimensional conducting object with edges and corners. I. TM polarization

A simple and approximate analytical solution is presented by invoking on-surface radiation condition theory for the analysis of electromagnetic scattering by a perfectly conducting object. The scattering object is assumed to be placed in a free space medium and is excited by a time harmonic plane wave having transverse magnetic (TM) polarization. The closed form analytical result for the monostatic as well as bistatic radar cross section is approximate. It is applicable only for the case of a convex conducting object having arbitrary two dimensional cross section with arbitrary edges and corners. Canonical scattering objects, such as a triangular scatterer and a thin strip scatterer, are analyzed for the transverse magnetic excitation to evaluate the usefulness of the analytical results. Numerical data for the monostatic and bistatic radar cross section are presented by comparing them with respect to the numerical solution obtained by solving an electric field integral equation based on the method of moments technique.<>