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

Richard Dusséaux (1) , Saddek Afifi (2)

1 SPACE - LATMOS
2 UBMA - Université Badji Mokhtar Annaba

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.

Keywords: Scattering; Probability density function; Random variables; Rough surfaces; Surface roughness; Perturbation methods; Optical surface waves; Multilook intensity ratio; layered rough surfaces; scattering amplitudes; small perturbation method

Domains: Electromagnetism

Richard Dusséaux, Saddek Afifi. Multilook Intensity Ratio Distribution for 3-D Layered Structures with Slightly Rough Interfaces. IEEE Transactions on Antennas and Propagation, 2020, 68 (7), pp.5575-5582. ⟨10.1109/TAP.2020.2979275⟩. ⟨insu-02533353⟩