A method of moments analysis of electromagnetic coupling through slots using a Gaussian beam expansion

A moment solution is presented for the problem of transverse electric (to the slot axis) electromagnetic coupling through a slot in infinitesimally thin, perfectly conducting screen separating two identical or contrasting half-space regions. The moment solution uses sets of properly shifted and modulated Gaussian elementary beams to expand the unknown equivalent magnetic current and a simple point-matching procedure for testing. The Gaussian expansion offers a numerical advantage in subsequent field calculations. Instead of integrating over surface currents when computing the fields, the proposed expansion allows the evaluation of the fields by summations of analytic terms exploiting the simple and well-understood propagation features of Gaussian beams. Sample computations are given and compared with a standard pulse-pulse Galerkin solution