A numerical evaluation of Rayleigh's theory applied to scattering by randomly rough dielectric surfaces

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. Som...

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Bibliographic Details
Published inWaves in random media Vol. 8; no. 1; pp. 79 - 101
Main Authors Mainguy, Stéphane, Greffet, Jean-Jacques
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 01.01.1998
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Summary: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.
ISSN:0959-7174
1361-6676
DOI:10.1080/13616679809409831