Parametric Shape Optimization for the Conformation of Axisymmetric Reflector Antennas

Benoît Chaigne 1 Jean-Antoine Desideri 1
1 OPALE - Optimization and control, numerical algorithms and integration of complex multidiscipline systems governed by PDE
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR6621
Abstract : A shape reconstruction problem of axisymmetric radiating structures is considered. This reads as an inverse problem. The direct problem - expression of the electric field w.r.t. a given geometry - is approximated by a simple model. For the inverse problem - find the shape whose radiation has been measured - a parametric shape functional is defined for which the \emph{Free-Form Deformation} method is introduced. Two different strategies to solve numerically the inverse problem (minimize the functional) is discussed: the first one is deterministic and the other one semi-stochastic. It appears that the functional is highly multimodal. At last, a multilevel strategy is proposed for which we discuss both robustness and convergence.
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Rapport
[Research Report] RR-6210, INRIA. 2006, pp.27
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Benoît Chaigne, Jean-Antoine Desideri. Parametric Shape Optimization for the Conformation of Axisymmetric Reflector Antennas. [Research Report] RR-6210, INRIA. 2006, pp.27. 〈inria-00151600v2〉

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