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A numerical evaluation of Rayleigh's theory applied to scattering by randomly rough dielectric surfaces |
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| Authors: | Stéphane Mainguy Jean-Jacques Greffet |
| Institution: | 1. Centre ?Etudes Scientifiques et Techniques ?Aquitaine , Commissariat à ?Energie Atomique , BP no 2, 33114, Le Barp, France;2. Laboratoire ?Energétique Moléculaire et Macroscopique, Combustion, Ecole Centrale Paris , Centre National de la Recherche Scientifique , Grande Voie des Vignes, 92295, Chǎtenay-Malabry, France |
| Abstract: | Abstract We present a numerical simulation of scattering by one-dimensional randomly rough surfaces. It is based on the use of plane-wave expansions to describe the Melds on the surface (i.e. Rayleigh hypothesis). Accuracy and convergence properties of two different numerical implementations are studied. Some examples of results for a dielectric and a metallic Gaussian rough surface are shown to be in good agreement with calculations by a rigorous numerical method. The Rayleigh method appears to be a fast computation tool for dielectric surfaces with slopes of less than 0.2. |
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