Numerical study of random surface scattering using Coifman wavelets

The scattering of electromagnetic waves from one-dimensional rough surfaces is studied numerically using Coifman wavelets. Owing to the orthogonality, vanishing moments and multiresolution analysis of wavelets, sparse impedance matrices have been obtained. More importantly, the coiflets allow the development of a high accuracy one-point quadrature formula, which reduces the computational effort in filling the matrix entries. Excellent agreement of the proposed approach with existing approaches was observed.