Method of Moments: Introduction and Techniques

Abstract

The basic ideas of the method of moments (MoM) technique, based on the surface integral equations, are described by analogy with the numerical integration. Such description makes it easy for a nonexpert to have some understanding of the MoMs based on surface integral equations. Then, a simple 2D scattering from an infinite conducting cylinder is considered to show a beginner how to formulate a problem and obtain the integral equations to be solved using the method of moments. Formulations of the problem of multi‐homogeneous dielectric materials are considered. To ease the construction of the MoM matrix for any problem composed of different materials, the surface integral equations are based on the actual boundary condition on each boundary in an operator form that is translated to a matrix, which is looked at as a composition of different impedance or admittance matrix in a partitioned matrix. Different surface integral equations can even be constructed at the matrix level. Discussions related to different possible formulations are considered. The problems involved in some formulations for conducting objects and how to overcome them are discussed. The literature review at the end is given for more detailed reading, which is related to different applications.