Statistical Distribution of the Normalized Difference Polarization Index for 3-D Layered Structures With Slightly Rough Interfaces

Saddek Afifi (1) , Richard Dusséaux (2)

1 LAPLASO - Laboratoire de Physique des Lasers, de Spectroscopie Optique et d’Opto-électronique
2 SPACE - LATMOS

We determine the probability distribution of the Normalized Difference Polarization Index (NDPI) for a stack of slightly rough interfaces illuminated by a plane wave. For infinite surface areas and Gaussian centered height distributions, we show within the framework of the first-order small perturbation method that the co-and crosspolarized NDPI are random variables, the probability laws of which depend only on two parameters. Contrary to the intensity ratio which follows a heavy-tailed distribution, the NDPI has finite mean and variance. For a sand layer covering a granite surface and Gaussian correlation functions, we analyze the combined influence of the anisotropy and cross-correlation upon the probability laws.

Domains: Engineering Sciences [physics]; Electromagnetism

Saddek Afifi, Richard Dusséaux. Statistical Distribution of the Normalized Difference Polarization Index for 3-D Layered Structures With Slightly Rough Interfaces. IEEE Transactions on Antennas and Propagation, 2019, 67 (6), pp.4291 - 4295. ⟨10.1109/TAP.2019.2905930⟩. ⟨insu-02085600⟩