Multilook Intensity Ratio Distribution for 3D Layered Structures with Slightly Rough Interfaces

We derive the statistics for the multilook intensity ratio for a multilayered medium bounded by randomly rough surfaces. Calculations are carried out in the context of the first-order small perturbation method and assume slightly rough surfaces of infinite extent and centered Gaussian height distributions. We show that the probability distributions for the co-polar and cross-polarized intensity ratios for n-look data are functions of three parameters and that the mean exists for n > 1 and the variance for n > 2 The obtained theoretical expressions are verified by comparison with Monte-Carlo results.