Fast iterative method for computing electromagnetic scattering from randomly rough surfaces

Abstract

A new iterative technique is proposed for the computation of electromagnetic scattering from randomly rough lossy surfaces. The proposed method is an extension of the improved forward backward method (IFBM), introduced by Brennan et al. The improvement step of the IFBM is modified for the use of multiple correction vectors instead of a single correction vector in the original technique. Spectral acceleration (SA) is applied in combination with a matrix splitting technique for a reduction of computational complexity from O(N2) to O(N). Numerical experiments are presented to compare to those techniques proposed in recent studies to demonstrate the efficiency of the proposed method. The modified improvement step significantly enhances the convergence rate of the forward backward method with negligible increases in storage requirements and computational complexity.