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

Saddek Afifi; Richard Dusséaux

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.

Document type :

Journal articles

Domain :

Engineering Sciences [physics] / Electromagnetism

Complete list of metadatas

https://hal-insu.archives-ouvertes.fr/insu-02085600
Contributor : Catherine Cardon <>
Submitted on : Saturday, March 30, 2019 - 8:37:24 PM
Last modification on : Thursday, September 12, 2019 - 3:24:38 PM

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

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

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