The analysis presented in this paper focuses on the calculation of the scattering cross-section of polarized electromagnetic plane waves from 2-D dielectric surfaces with non-Gaussian statistics. The second order small slope approximation is used to evaluate the scattered field from the 2-D rough surface. The gap between the small perturbation method and Kirchhoff's approximation is bridged using the small slope approximation. This method is applicable to surfaces of arbitrary roughness possessing small slopes. The incident and scattered wave vectors are in arbitrary directions. The coherent and incoherent components of the electromagnetic field are calculated for the bistatic case. In this paper we consider dielectric materials. The permittivity of the dielectric materials can be complex. A finite conductor is characterized by a conductivity which is introduced in the imaginary part of the permittivity of the material. We consider in this paper surfaces with Gaussian and non-Gaussian statistics, i.e., a Gaussian probability density function is assumed for the random rough surface heights and the correlation function is assumed to be non-Gaussian. Non-isotropic grooves on the dielectric surfaces are modeled by nonGaussian correlation functions. Numerical simulations are carried out with the second order SSA method and we compare these results with the Kirchhoff's approximation, the small perturbation approximation, and the full-wave method.
