Homogenization of Maxwell’s Equations in Lossy Biperiodic Metamaterials
| Autor: | Abderrahim Sekkaki, Hassania Ouchetto, Ouail Ouchetto, Said Zouhdi |
|---|---|
| Přispěvatelé: | Laboratoire Génie électrique et électronique de Paris (GeePs), Université Paris-Sud - Paris 11 (UP11)-Université Pierre et Marie Curie - Paris 6 (UPMC)-CentraleSupélec-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2013 |
| Předmět: |
Floquet theory
[PHYS]Physics [physics] Numerical analysis 020208 electrical & electronic engineering Mathematical analysis 020206 networking & telecommunications 02 engineering and technology Mixed finite element method Homogenization (chemistry) Finite element method symbols.namesake Maxwell's equations 0202 electrical engineering electronic engineering information engineering symbols Boundary value problem Electrical and Electronic Engineering ComputingMilieux_MISCELLANEOUS Extended finite element method Mathematics |
| Zdroj: | IEEE Transactions on Microwave Theory and Techniques IEEE Transactions on Microwave Theory and Techniques, 2013, 61 (8), pp. 4214-4219. ⟨10.1109/TAP.2013.2262663⟩ IEEE Transactions on Microwave Theory and Techniques, Institute of Electrical and Electronics Engineers, 2013, 61 (8), pp. 4214-4219. ⟨10.1109/TAP.2013.2262663⟩ |
| ISSN: | 0018-9480 |
| DOI: | 10.1109/TAP.2013.2262663⟩ |
| Popis: | A novel homogenization technique is proposed for computing the quasi-static effective parameters of the lossy bi-periodic artificial structure materials. This technique is based on the Floquet's Theorem which allows reducing the studied domain to the elementary cell with pseudo-periodic conditions on the lateral sides. The studied domain is extended by adding a vacuum layer in order to impose correctly the Silver-Muler absorbing boundary condition. This homogenization technique is a numerical method using the Finite Element Method and based on the evaluation of the macroscopic fields by averaging the local fields on the elementary cell. The effective constitutive parameters are obtained from the macroscopic fields and inductions. The numerical validation of this approach is presented in 2D and 3D by computing the effective conductivities for square cylinders and cubes suspended in a host isotropic medium. The obtained results are compared to our previous approach based on Unfolding Method and Finite Element Method (UFEM). On the one hand this technique can be applied to homogenize any bi-periodic metamaterial with elementary cells having inclusions of arbitrary geometry and on the other hand it takes into account the effect of the inclusions shape on the effective parameters. |
| Databáze: | OpenAIRE |
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