Monte Carlo simulations for electromagnetic scattering of rough surfaces by a combined wavelet transform and banded-matrix iterative approach/canonical grid method

Combining a wavelet transform and banded-matrix iterative approach/canonical grid method (BMIA/CG), an efficient algorithm for solving the large-scale electromagnetic problems is proposed. Based on the concept of the multiresolution analysis, the banded matrix associated with the strong near interactions in the BMIA/CG method is compressed to reduce the required storage and computational cost by using a screening window wavelet transform scheme. For the weak far interactions, the contributions are translated into the canonical-grid mesh by using a Taylor's series expansion so that the fast Fourier transform can be applied. Monte Carlo simulations of the electromagnetic scattering from one-dimensional lossy dielectric rough surfaces are then performed to illustrate the numerical efficiency of the proposed method. © 1998 John Wiley & Sons, Inc.