Méthode FDTD conforme et d’ordre (2,4) pour le calcul de SER large bande de cibles complexes

Abstract : Rigorous numerical methods are used to compute an accurate wideband radar cross section (RCS) evaluation of large complex targets. Among these, finite differences in time domain method is appropriated for the wideband characteristic and also to obtain a transient responses of the target. The Yee scheme, known historically as an FDTD scheme for Maxwell equations, is hindered by two crucial weak points: numerical dispersion which imposes a high mesh resolution; and staircase approximation of curve geometry which deteriorates results quality. High-order space differential operator for FDTD schemes have been investigated to limit numerical dispersion errors. In this thesis, the Conservative Modified FDTD(2,4) scheme has been developed and its performance has shown very accurate results with reasonable workload for RCS computation. Relating to curve geometry modeling problem, metallic edges modeling is still an unsolved problem for FDTD(2,4) schemes with enlarged stencil. Conformal techniques have been developed for the Yee scheme and has been studied for FDTD(2,4) to accurately model curve geometry. We propose a new approach based on oblique thin wire model to model metallic surfaces. RCS computations of several targets have shown that this method is promising.
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Nicolas Bui. Méthode FDTD conforme et d’ordre (2,4) pour le calcul de SER large bande de cibles complexes. Electromagnétisme. Université de Limoges, 2016. Français. ⟨NNT : 2016LIMO0118⟩. ⟨tel-01445102⟩

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