ABSTRACT
The method of moments (MoM) is applicable for solving both differential and integral equations (IEs). The method is also known as the boundary element method, the Galerkin method, or the surface integral method. The use of MoM in electromagnetics (EM) has become popular since the work of J. H. Richmond in 1965 and R. F. Harrington in 1967. The method has been successfully applied to a wide variety of EM problems of practical interest such as radiation due to thin-wire elements and arrays, scattering problems, analysis of microstrips and lossy structures, propagation over an inhomogeneous earth, and antenna beam pattern, to mention a few. The classification of one-dimensional IEs arises naturally from the theory of differential equations, thereby showing a close connection between the integral and differential formulation of a given problem. A more systematic means of obtaining an IE from a partial differential equation (PDE) is by constructing an auxiliary function known as Green's function for that problem.
