Numerical computation of the green's function of a layered media with rough interfaces

A numerical method for the calculation of the Green's function related to a layered media containing rough interfaces is presented. The method is based on the assumption that the perturbations of the rough surfaces from planar ones are objects located at both sides of the planar boundaries. Such an approach allows one to formulate the problem as a scattering of cylindrical or spherical waves from buried bodies, which can be solved by means of MoM. The method is effective for surfaces having a localized and arbitrary roughness. This asymptotic behavior of the Green's function is also derived for large distances. The Green's function obtained here is applied to some direct and inverse scattering problems related to objects buried in a layered background to see its effectiveness and annlicabilitv.