The co- and cross-polarized scattered intensity ratios for 3D layered structures with randomly 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 statistical distributions for the co- and cross-polarized scattered intensity ratios characterizing three-dimensional layered structures with an arbitrary number of rough interfaces illuminated by a plane wave. Within the framework of the first-order small perturbation method, we show for slightly rough interfaces with infinite surface areas and Gaussian height distributions that the intensity ratio is a random variable, the probability law of which is a function of two parameters. For air/clayey soil/rock structures, we analyze the influence of a snow layer upon the probability laws and we validate the closed-form formulae by comparison with Monte-Carlo simulations.

Keywords: Rough layered surfaces; scattering amplitudes; small perturbation method; co- and cross-polarized intensity ratios; density probability function

Domains: Electromagnetism

Saddek Afifi, Richard Dusséaux. The co- and cross-polarized scattered intensity ratios for 3D layered structures with randomly rough interfaces. Journal of Electromagnetic Waves and Applications, 2019, 33 (7), pp.811-826. ⟨10.1080/09205071.2018.1523027⟩. ⟨insu-01983616⟩