Wavelet-based simulations of electromagnetic scattering from large-scale two-dimensional perfectly conducting random rough surfaces

Simulations of electromagnetic waves scattering from two-dimensional perfec tly conducting random rough surfaces are performed using the method of mome nt (MoM) and the electric field integral equation (EFIE), Using wavelets as basis and testing functions, the resulting moment matrix is generally spar se after applying a threshold truncation, This property makes wavelets part icularly useful in simulating large-scale problems, in which reducing memor y storage requirement and CPU time are crucial. In this paper, scattering f rom Gaussian conducting rough surfaces of a few hundred square wavelengths are studied numerically using Haar wavelets. A matrix sparsity less than 10 % is achieved for a range of root mean square (RMS) height at eight samplin g points per linear wavelength. Parallelization of the code is also perform ed. Simulation results of the bistatic scattering coefficients are presente d for different surface RMS heights up to I wavelength. Comparsions with sp arse-matrix/canonical-grid approach (SM/CG) and triangular discretized (RWG basis) results are made as well. Depolarization effects are examined for b oth TE and TM incident waves. The relative merits of the SM/CG method and t he present method are discussed.