Using Wavelet Transforms in the Method of Moment Solutions of Large Electromagnetic Scattering Problems

Abstract

Conventional method of moments, when directly applied to integral equations arising in numerical solution of electromagnetic scattering problems, leads to a dense (fully populated) matrix which often becomes computationally ungovernable even for supercomputers, especially when the electrical size of the scatterer becomes large. To overcome this difficulty, recently, researchers have frequently used wavelets which leads to a sparse matrix that can be solved easily by an efficient sparse solver. Using wavelets in solving EM integral equations has been widely studied. The purpose of this study is to develop a strategy for efficient wavelet solution of integral equations by connecting and using efficient studies have been done in this area. Results in terms of matrix sparsity and relative error in reconstructed current, which obtained from numerical experiments are provided to illustrate the validity of the proposed approach.