A sparse-matrix canonical-grid method for scattering by many randomly located cylindrical scatterers

We have developed a general methodology of analyzing electromagnetic scattering from one-dimensional and two-dimensional random rough surfaces. The moment-method impedance matrix is decomposed into a banded matrix (l-D) or a sparse matrix (2-D) which represents strong interaction and the remainder of the matrix represents the weak interaction part. The weak interaction matrix represents the far field interaction. For the case of a rough surface, the weak interaction matrix has been further expanded about a flat surface. This results in a translational invariant form for the weak impedance matrix so that the FFT can be applied. It is to be recognized that the flat surface is a canonical grid for a random rough surface scattering problem. We extend the concept to present a sparse-matrix canonical-grid method for dense media scattering.