Application of Analytical Expressions of Transient Potentials to the MOT Solution of Integral Equations

摘要

In the marching-on-in-time (MOT) method, Rao-Wilton-Glisson (RWG) basis functions [1] are widely used for modeling the current density. Analytical evaluations of retarded-time potential integrals, related to transient electric and magnetic fields due to RWG current bases are developed in [2] and [3], respectively. However, an application of these analytic formulas to a MOT solver is not demonstrated so far. Only an opinion in [3] is drawn to adopt developed formulations to a MOT solver. Here, an application of these developed techniques to solve magnetic field integral equation (MFIE) with MOT is shown and the algorithm that is used for solving MFIE, which is also very similar for electric field integral equation (EFIE), is described. Also, the advantages and drawbacks of the presented algorithm will be highlighted.