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Correlation effect between transmitter and receiver azimuthal directions on the illumination function from a random rough surface

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The resolution of some problems of electromagnetic scattering from random rough surfaces implies the derivation of the illumination function, especially when the geometrical optics approximation is valid. In current models, the shadowing effects occurring for both the transmitter and the receiver are assumed to be independent of their azimuthal directions. This assumption makes it possible to compute separately the shadowing probabilities in each direction. However, if the transmitter and receiver azimuthal directions are close, these probabilities become strongly correlated. In such a configuration, the uncorrelation approximation induces an overestimation of the average illumination function up to as well as a discontinuity. In this paper, assuming surfaces of isotropic Gaussian statistics with independent heights and slopes, this correlation is taken into account. Comparisons of our model with Monte Carlo simulations are made and show a very good agreement, which validates our approach.
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Document Type: Research Article

Affiliations: 1: Inria–Jean Kuntzmann Laboratory (Université de Grenoble and CNRS), Saint Ismier Cedex, France 2: IETR Laboratory – Université de Nantes, Polytech Nantes, Nantes Cedex 3, France

Publication date: August 1, 2013

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