Diffusion des ondes électromagnétiques par des surfaces rugueuses aléatoires naturelles. Méthode exacte en coordonnées curvilignes et Principe du faible couplage

Abstract : We are concerned by the scattering of an electromagnetic field by one or two dimensional rough surfaces. Our aim is to solve exactly this problem, by mean of numerical methods. We consider the case of surfaces separating homogeneous media illuminated by plane waves.

In order to analyse the scattering phenomena we have developed an exact method: the C method. The theory is based on Maxwell's equations in covariant form written in a nonorthogonal coordinate system fitted to the surface profile. This leads to an eigenvalue system, the solutions of which give the scattered fields.

The surfaces under study are modelled as a spatial random process with a height function assuming normally distributed values and are characterized by an isotropic autocorrelation function. They are numerically generated by linear filtering of a Gaussian white noise. The statistical parameters are estimated using a set of agricultural soil data base.
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Submitted on : Wednesday, January 2, 2008 - 3:32:04 PM
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Karim Aït Braham. Diffusion des ondes électromagnétiques par des surfaces rugueuses aléatoires naturelles. Méthode exacte en coordonnées curvilignes et Principe du faible couplage. Physique mathématique [math-ph]. Université de Versailles-Saint Quentin en Yvelines, 2007. Français. ⟨tel-00201723⟩

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