Two domain decomposition methods, SDIM andCBFM, for the scattering from a two-dimensionalperfectly-conducting rough surface: Comparison andparametric study

Christophe Bourlier (1) , Yunniel Arencibia Noa (1) , Kubické Gildas (2) , Sami Bellez (3)

1 IETR - Institut d'Électronique et des Technologies du numéRique
2 DGA.MI - DGA Maîtrise de l'information
3 CMN - Constructions Mécaniques de Normandie

This paper focuses on the two domain decomposition methods, the subdomain decomposition iterative method(SDIM) and the characteristics basis function method (CBFM) combined with adaptive cross approximation(ACA) to compute the normalized radar cross section (NRCS) from a perfectly conducting two-dimensional(2D) randomly rough surface. The 3D electromagnetic problem is solved from the electric field integral equationdiscretized by theGalerkin method of moments with the Rao–Wilton–Glisson basis functions. In addition, a parametricstudy versus the number of blocks, the number of overlapping edges, the thresholds of recompressed ACA(RACA; ACAcombined with twoQRdecompositions and truncated by aSVDprocedure, also named ACA-SVD orACA-TSVD) and the parameters inherent to the CBFM is investigated. The complexity of the two methods is alsoaddressed.

Domaines: Sciences de l'ingénieur [physics]; Electronique; Autre

Christophe Bourlier, Yunniel Arencibia Noa, Kubické Gildas, Sami Bellez. Two domain decomposition methods, SDIM andCBFM, for the scattering from a two-dimensionalperfectly-conducting rough surface: Comparison andparametric study. Journal of the Optical Society of America. A Optics, Image Science, and Vision, 2020, 37 (8), ⟨10.1364/JOSAA.397764⟩. ⟨hal-02919966⟩