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International Journal of RF and Microwave Computer-Aided Engineering 20 (2010) 33-41
Shape optimized design of microwave dielectric resonators by level set and topology gradient methods
Hassan Khalil 1, Stéphane Bila 1, Michel Aubourg 1, Dominique Baillargeat 1, Serge Verdeyme 1, F. Jouve 2, C. Delage 3, Thierry Chartier 4
(2010)

The finite element method is coupled with the topology gradient (TG) and level-set (LS) methods for optimizing the shape of microwave components using a computer-aided design model. On the one hand, the LS approach is based on the classical shape derivative; while on the other hand, the TG method is precisely designed for introducing new perturbations in the optimization domain. These two approaches, which consist in minimizing a cost function related to the component behavior, are first described. Regarding given electrical specifications, these techniques are applied to optimize the distribution of ceramic parts of a dual-mode resonator in order to improve its behavior. The optimized dielectric resonators result in a wide spurious-free stop band. A comparison between classical and optimized dual mode resonator is presented. Theoretical results are then validated by careful measurements.
1 :  XLIM (XLIM)
CNRS : UMR6172 – Université de Limoges
2 :  Laboratoire Jacques-Louis Lions (LJLL)
CNRS : UMR7598 – Université Pierre et Marie Curie [UPMC] - Paris VI
3 :  Centre de Transfert de Technologies Céramiques (CTTC)
CTTC
4 :  Science des Procédés Céramiques et de Traitements de Surface (SPCTS)
CNRS : UMR6638 – Université de Limoges – Ecole Nationale Supérieure de Céramique Industrielle – Institut des Procédés Appliqués aux Matériaux
MINACOM
Axe 1 : procédés céramiques
: shape optimization – topology gradient – level-set – microwave components – finite element method