Scattering by two-dimensional rough surfaces: comparison between the method of moments, Kirchhoff and small-slope approximations |
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Authors: | Gabriel Soriano Charles-Antoine Gu rin Marc Saillard |
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Institution: | Gabriel Soriano ,Charles-Antoine Gué,rin,Marc Saillard |
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Abstract: | We use a rigorous numerical code based on the method of moments to test the accuracy and validity domains of two popular first-order approximations, namely the Kirchhoff and the small-slope approximation(SSA), in the case of two-dimensional rough surfaces. The experiment is performed on two representative types of surfaces: surfaces with Gaussian spectrum, which are the paradigm of single-scale surfaces, and ocean-like surfaces, which belong to the family of multi-scale surfaces. The main outcome of these computations in the former case is that the SSA is outperformed by the Kirchhoff approximation(KA) outside the near-perturbative domain and in fact is quite unpredictable in that its accuracy does not depend only on the slope. For ocean-like surfaces, however, SSA behaves surprisingly well and is more accurate than the KA. |
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