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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
LATMOS - Laboratoire Atmosphères, Milieux, Observations Spatiales
Abstract : 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.
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https://hal-insu.archives-ouvertes.fr/insu-02085600
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Submitted on : Saturday, March 30, 2019 - 8:37:24 PM
Last modification on : Friday, December 3, 2021 - 11:42:51 AM

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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, Institute of Electrical and Electronics Engineers, 2019, 67 (6), pp.4291 - 4295. ⟨10.1109/TAP.2019.2905930⟩. ⟨insu-02085600⟩

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