3-D Electromagnetic Scattering From Multilayer Dielectric Media With 2-D Random Rough Interfaces Using $T$ -Matrix Approach

The translation matrix (T-matrix) solution to the 3-D problem of scattering of the electromagnetic waves from a dielectric layered medium with random rough interfaces is presented. The solution is based on the coupled vector integral equation of the electric field using the dyadic periodic Green's function as a kernel. It is shown that the T-matrix solution conserves energy, the bistatic scattering pattern is regular even in cases, where guided modes within the layered medium are excited, and also that the method's results coincide with those of the second-order Small Perturbation Method (SPM2) in the small height limit. One of the advantages of the T-matrix method compared to the SPM2 is the wide validity range of the solution, which is also studied.