An Interface Model for Homogenization of Acoustic Metafilms
| Autor: | Marigo, Jean-Jacques, Maurel, Agnes |
|---|---|
| Přispěvatelé: | 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), 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), Richard Craster, Sébastien Guenneau, Stefan A. Maier |
| Rok vydání: | 2017 |
| Předmět: | |
| Zdroj: | World Scientific Handbook of Metamaterials and Plasmonics Richard Craster, Sébastien Guenneau. World Scientific Handbook of Metamaterials and Plasmonics, 2, World Scientific, pp.599-645, 2018, Elastic, Acoustic, and Seismic Metamaterials, 978-981-3227-63-7. ⟨10.1142/9789813228702_0014⟩ |
| DOI: | 10.1142/9789813228702_0014 |
| Popis: | Chapter 14; International audience; We present a method of homogenization for metamaterials with ultrathin thickness e, so-called metafilms. The method relies on a separation of scales, a macro scale being associated to the wavelength 1/k in the far field (outer region) and a micro scale associated to the subwavelength size h of the periodic cells in the metamaterial being relevant in the near field (inner region). The ratio of the two scales is the small parameter ε = kh of the problem which is used to expand the acoustic fields in the two regions, afterwards matching conditions are used to connect the informations between both regions. The problem ends with effective parameters of an equivalent zero thickness film, that are determined by solving elementary problems. This allows to determine unambiguously the scattering properties of the film for any incident wave. The method is validated in the case of a thin film made of periodic rectangular sound hard inclusions in two dimensions and compared to the results given by classical homogenization of layered media. Our interface model is shown to be accurate for ke,kh < 1 while the classical homogenization applies for kh < 1, e > h. |
| Databáze: | OpenAIRE |
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