A study for the fast solution of electromagnetic scattering problems: a wavelet based approach

Conventional method of moments (MoM), when directly applied to integral equations arising in numerical solution of electromagnetic (EM) 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, wavelet bases have been used recently which lead to a sparse matrix that can be solved easily by an efficient sparse solver. Using wavelet in solving EM integral equations has been widely studied. The purpose of this paper is to develop a strategy for efficient wavelet solution of integral equations by connecting and using efficient studies done in this area. Numerical results are provided to illustrate the validity of the proposed approach.