Skip to Main content Skip to Navigation
Journal articles

Statistical Distribution of the Layered Rough Surface Index (LRSI)

Abstract : In this paper we determine the statistical distributions of the co-and cross-polarized Layered Rough Surface Index (LRSI) for three-dimensional layered structures with an arbitrary number of slightly rough interfaces illuminated by an electromagnetic 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 LRSI under a given observation direction is a random variable, whose statistical distribution is only function of two parameters. Contrary to the intensity ratio which follows a heavy-tailed distribution, the LRSI has finite mean and variance. For a structure air/clayey soil/rock, we analyze the influence of a snow layer upon the probability laws in the cases of Gaussian or exponential correlation functions.
Document type :
Journal articles
Complete list of metadata

Cited literature [15 references]  Display  Hide  Download
Contributor : Catherine Cardon Connect in order to contact the contributor
Submitted on : Saturday, July 20, 2019 - 11:42:01 AM
Last modification on : Friday, December 3, 2021 - 11:42:51 AM


Publisher files allowed on an open archive


  • HAL Id : insu-02189826, version 1


Richard Dusséaux, Saddek Afifi. Statistical Distribution of the Layered Rough Surface Index (LRSI). Progress In Electromagnetics Research C, EMW Publishing, 2019, 94, pp.75 - 87. ⟨insu-02189826⟩



Record views


Files downloads