Application of Two-Step Spectral Preconditioning Technique for Electromagnetic Scattering in a Half Space

Abstract

Abstract-To efficiently solve large dense complex linear system arising from electric field integral equations (EFIE) formulation of half-space electromagnetic scattering problems, the multilevel fast multipole algorithm (MLFMA) is used to accelerate the matrixvector product operations. The two-step spectral preconditioning is developed for the generalized minimal residual iterative method (GMRES). The two-step spectral preconditioner is constructed by combining the spectral preconditioner and sparse approximate inverse (SAI) preconditioner to speed up the convergence rate of iterative methods. Numerical experiments for scattering from conducting objects above or embeded in a lossy half-space are given to demonstrate the efficiency of the proposed method.

Electromagnetic Scattering by Conducting Bor Coated With Chiral Media Above a Lossy Half-Space

“…The discrete complex-image method (DCIM) [28,29] is applied to obtain the spatial domain half-space Green's functions in closed forms. The coupled PMCHW-CFIE is solved by BORMoM.…”