Analytical simplification of the 2-D method of moments impedance integral

摘要

The elements of the two-dimensional (2-D), method of moments (MoM) impedance matrix are analytically reduced by way of an integral transform. The resulting impedance expression is a single integral with an analytic integrand for nearly arbitary shape and weight function sets. The reduced expression requires fewer computations, thereby reducing the matrix fill time. This moments via integral transform method (MITM) is based on an integral representation of the Green's function (Hankel function) and utilizes a special integral transform. The method is developed for 2-D perfectly electrically conducting bodies subjected to a transverse magnetic field. A comparison between brute force and MITM is presented for polynomial shape and weight functions.