A Simple and Efficient Method of Moments Solution Procedure for Solving Time-Domain Integral Equation—Application to Wire-Grid Model of Perfect Conducting Objects

In this paper, a straightforward method of moments procedure to solve the time-domain integral equation is presented and applied to a wire-grid model of an arbitrarily shaped conducting body. The conducting body is illuminated by a Gaussian plane wave. Contrary to all the available time-domain algorithms, this procedure does not involve marching in time thus eliminating error accumulation, a major source for late-time instability problem. The procedure presented in this paper is conceptually simple, numerically efficient, and handles multiple excitations in a trivial manner, all the while remaining stable. The numerical procedure utilizes pulse functions for space variable and time-shifted Gaussian functions for time variable, respectively. Furthermore, the numerical procedure adopts Galerkin method of solution implying the usage of same time and space functions for both expansion and testing. The numerical results obtained in the time domain are validated by comparing with the data obtained from the frequency domain solution at several frequencies and performing inverse discrete Fourier transform.