Monte Carlo simulations of scattering and emission from lossy dielectric random rough surfaces using the wavelet transform method

Recently, a fast computational technique based on the handed-matrix iterati ve approach/canonical grid (BMIA/CG) method has been developed for the anal ysis of random rough surfaces. However, there are situations that the matri x-vector multiplication associated with strong near-field interactions may dominate the CPU and memory storage requirement, In this paper, the wavelet transform method in conjunction with a screening window scheme is used to address these problems. It is noted that the wavelet-transformed matrix for each submatrix is implemented only once for different incident polarizatio ns. Based on the idea of multiresolution analysis, the matrix-vector multip lication in an iterative solver is then efficiently evaluated for its highe r sparsity. Numerical simulations are then used to study scattering and emi ssion from the lossy dielectric random rough surfaces. All the four Stokes parameters are calculated in this paper.