Statistical Distributions of the Copolarized and Cross-Polarized Phase Differences of Stratified Media

We determine the statistical distributions of the copolarized and cross-polarized phase differences of fields scattered from a stack of two 2-D rough interfaces in any observation plane. This communication is carried within the framework of the first-order small perturbation method. The probability laws are established for Gaussian distributions of heights and for infinite extension interfaces. We show that, outside the incidence plane, the cross-polarized phase difference is not uniformly distributed and contains information about the stratified medium.