Numerical simulations of scattering from multilayers separated by one-dimensional rough interfaces

The problem of electromagnetic wave scattering by a stack of two-dimensional Gaussian rough interfaces is solved. The scattered field is expressed from the Kirchhoff approximation where the multiple scattering phenomenon is neglected and the average field (bistatic scattering coefficient) is computed from a Monte Carlo method. The advantage of this method is that it is fast unlike the exact numerical methods as method of moments. The two rough interfaces separate three lossless and homogeneous media. The bistatic scattered field and the scattering cross section are derived in this paper for vertical and horizontal polarizations. The application of this work is the study of electromagnetic modeling of oil slicks on ocean surfaces.