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Article Dans Une Revue Waves in Random Media Année : 2004

Weighted curvature approximation : numerical tests for 2D dielectric surfaces

Résumé

The weighted curvature approximation (WCA) was recently introduced by Elfouhaily et al [7] as a unifying scattering theory that reproduces formally both the tangent-plane and the small-perturbation model in the appropriate limits, and is structurally identical to the former approximation with some different slope-dependent kernel. Due to the simplicity of its formulation, the WCA is interesting from a numerical point of view and the aim of the present paper is to establish its accuracy on some representative test cases. We derive statistical formulae for the coherent field and the cross-section in the case of stationary Gaussian random surfaces. We then specialize to the case of isotropic Gaussian spectra and perform numerical comparisons against rigorous method of moments (MoM)-based results on 2D dielectric surfaces. We show that the WCA remains extremely accurate in a roughness range where other first-order classical approximations (small-slope and Kirchhoff) clearly fail, at the same computational cost.
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Dates et versions

hal-00014900 , version 1 (30-11-2005)

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Charles-Antoine Guérin, Gabriel Soriano, Tanos Elfouhaily. Weighted curvature approximation : numerical tests for 2D dielectric surfaces. Waves in Random Media, 2004, 14, n° 3, pp.349 - 363. ⟨10.1088/0959-7174/14/3/009⟩. ⟨hal-00014900⟩
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