Homogenization of Thin and Thick Metamaterials and Applications
| Autor: | Yao Gao, Jean-Jacques Marigo, Agnès Maurel, Abdelwaheb Ourir |
|---|---|
| Přispěvatelé: | Institut Langevin - Ondes et Images (UMR7587) (IL), Ecole Superieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI Paris), Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université de Paris (UP), Laboratoire de mécanique des solides (LMS), École polytechnique (X)-MINES ParisTech - École nationale supérieure des mines de Paris, Université Paris sciences et lettres (PSL)-Université Paris sciences et lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Alejandro Lucas Borja |
| Rok vydání: | 2017 |
| Předmět: |
multiplexing
Materials science Demultiplexer guided waves subwavelength devices Mathematical analysis homogenization Metamaterial metamaterial surface waves 01 natural sciences Homogenization (chemistry) Multiplexing spoof plasmons [PHYS.MECA.ACOU]Physics [physics]/Mechanics [physics]/Acoustics [physics.class-ph] Magnetic field 010309 optics Complex geometry Homogeneous Surface wave [PHYS.MECA.SOLID]Physics [physics]/Mechanics [physics]/Solid mechanics [physics.class-ph] 0103 physical sciences 010306 general physics |
| Zdroj: | Metamaterials-Devices and Applications Alejandro Lucas Borja. Metamaterials-Devices and Applications, InTech, pp.149-165, 2017, 978-953-51-3100-7. ⟨10.5772/66035⟩ |
| DOI: | 10.5772/66035 |
| Popis: | International audience; The wave propagation in structures involving metamaterials can be described owing to homogenization approaches which allow to replace the material structured at the subwavelength scale by an equivalent and simpler, effective medium. In its simplest form, homogenization predicts that the equivalent medium is homogeneous and aniso-tropic and it is associated to the usual relations of continuity for the electric and magnetic fields at the boundaries of the metamaterial structure. However, such prediction has a range of validity which remains limited to relatively thick devices and it is not adapted to more involved geometries (notably three-dimensional). The following two aspects are considered: (i) we study how the homogenization at the leading order can be improved when the thickness of the device becomes small and (ii) we propose a heuris-tic extension of the solution given by the leading order homogenization in order to deal with a complex geometry; in the latter case, an application to a demultiplexer device is proposed. |
| Databáze: | OpenAIRE |
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