Spatially Large-Domain and Temporally Entire-Domain Electric-Field Integral Equation Method of Moments for 3-D Scattering Analysis in Time Domain

A novel spatially large-domain and temporally entire-domain method of moments (MoM) is proposed for surface integral equation (SIE) modeling of 3-D conducting scatterers in the time domain (TD). The method uses higher order curved Lagrange interpolation-generalized quadrilateral geometrical elements, higher order spatial current expansions based on hierarchical divergence-conforming polynomial vector basis functions, and temporal current modeling by means of orthogonal weighted associated Laguerre basis functions. It implements full temporal and spatial Galerkin testing and marching-on-in-degree (MOD) scheme for an iterative solution of the final system of spatially and temporally discretized MoM-TD equations. Numerical examples demonstrate excellent accuracy, efficiency, convergence, and versatility of the new MoM-MOD method. The results also demonstrate very effective large-domain MoM-TD SIE models of scatterers using flat and curved patches of electrical sizes of up to about 1.7 wavelengths at the maximum frequency in the frequency spectrum of the pulse excitation, higher order current expansions of spatial orders from 2 to 8 in conjunction with entire-domain Laguerre temporal bases, and minimal numbers of unknowns.