MoM Matrix Generation Based on Frequency and Material Independent Reactions (FMIR-MoM)

A novel and efficient method of moments (MoM) matrix generation technique called the frequency and material independent reactions for the method of moments (FMIR-MoM) technique is presented. This new matrix generation algorithm efficiently calculates impedance matrices while sweeping through frequency, permittivity, conductivity, and/or permeability values. For frequency sweeps it has computational and memory costs comparable to those of interpolation techniques. It has the advantage over interpolation techniques in that it does not divide the frequency range into segments and allows one to dynamically update the precision. The technique expands the exponential of the Green's function into a Taylor series. This allows the problem to be formulated as a summation, where each term consists of a real valued matrix depending only on the geometry (discretization), multiplied by a scalar dependent on the propagation constant. The algorithm's efficiency is obtained by calculating the geometry-dependent matrices prior to sweeping through frequency or material parameters.