Simple Analytical Solution to Electromagnetic Scattering by Two-Dimensional Conducting Object with Edges and Corners: Part I—TM Polarization

A simple and approximate analytical solution is presented by invoking on-surface radiation condition (OSRC) theory for the analysis of electromagnetic scattering by a perfectly conducting two-dimensional 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 and is useful in many engineering studies. It is applicable only for the case of a convex shaped conducting object having arbitrary two dimensional cross section with arbitrary edges and corners. Canonical scattering objects, such as a triangular shaped scatterer and a thin strip scatterer are analyzed for the transverse magnetic excitation to evaluate usefulness of the analytical results reported in this paper. Numerical data for the monostatic as well as the bistatic radar cross section are also 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.