Novel 2D transient EFIE, MFIE, and CFIE solvers based on the multilevel plane wave time domain algorithm

Abstract

The marching-on-in-time (MOT) method is usually adopted to solve the transient integral equations (IE) for scattering problems. However, it suffers from a high computational cost. In this paper, the 2D plane wave time domain (PWTD) algorithm is coupled with the conventional MOT scheme, resulting in PWTD accelerated 2D MOT solvers for the transient electric field, magnetic field, and combined field integral equations (EFIE, MFIE, and CFIE). The computational cost associated with the novel IE solvers scales as O(N/sub s/N/sub t/logN/sub s/logN/sub t/) compared with O(N/sub s//sup 2/N/sub t//sup 2/) computational complexity of conventional 2D IE MOT solvers, where N/sub s/ and N/sub t/ are the number of spatial and temporal samples that describe the current distribution on the scatterer, respectively. Due to this low computational complexity, the novel IE solvers are capable of analyzing 2D transient scattering phenomena involving large objects. This paper considers scattering of transverse electric (TE) polarized plane waves from perfect electrically conducting (PEC) objects. A simplified version of the IE solvers presented here can be used in analyzing transverse magnetic (TM) problems.