ABSTRACT
The method of moments (MOM) is a powerful numerical method capable of applying weighted residual techniques to reduce an integral equation to a matrix equation. The solution of the matrix equation is usually carried out via inversion, elimination, or iterative techniques. Although MOM is commonly applied to open problems such as those involving radiation and scattering, it has been successfully applied to closed problems such as waveguides and cavities. The classification of one-dimensional integral equations arises naturally from the theory of differential equations, thereby showing a close connection between the integral and differential formulation of a given problem. The method of images is a powerful technique for obtaining the field due to one or more sources with conducting boundary planes. The eigenfunction expansion method is suitable for deriving the Green's function for differential equations whose homogeneous solution is known. Green's function is represented in terms of orthonormal functions that satisfy the boundary conditions associated with the differential equation.
