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) , François Jouve (2) , C. Delage (3) , Thierry Chartier (4)

1 MINACOM
2 LJLL - Laboratoire Jacques-Louis Lions
3 CTTC - Centre de Transfert de Technologies Céramiques
4 Axe 1 : procédés céramiques

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.

Mots clés: : shape optimization; topology gradient; level-set; microwave components; finite element method

Hassan Khalil, Stéphane Bila, Michel Aubourg, Dominique Baillargeat, Serge Verdeyme, et al.. Shape optimized design of microwave dielectric resonators by level set and topology gradient methods. International Journal of RF and Microwave Computer-Aided Engineering, 2010, 20, pp.33-41. ⟨10.1002/mmce.20400⟩. ⟨hal-00450646⟩