Revisiting the anisotropy of metamaterials for water waves

Abstract : We establish, both theoretically and experimentally, that metamaterials for water waves reach a much higher degree of anisotropy than the one predicted using the analogy between water waves and their electromagnetic or acoustic counterparts. This is due to the fact that this analogy, based on the two-dimensional shallow water approximation, is unable to account for the three-dimensional near field effects in the water depth. To properly capture these effects, we homogenize the fully three-dimensional problem and show that a subwavelength layered structuration of the bathymetry produces significant anisotropic parameters in the shallow water regime. Furthermore, we extend the validity of the homogenized prediction by proposing an empirical anisotropic version of the dispersion relation.
Type de document :
Article dans une revue
Physical Review B : Condensed matter and materials physics, American Physical Society, 2017, 96 (13), pp.134310. 〈10.1103/PhysRevB.96.134310〉
Liste complète des métadonnées

https://hal-polytechnique.archives-ouvertes.fr/hal-01657084
Contributeur : Jean-Jacques Marigo <>
Soumis le : mercredi 6 décembre 2017 - 12:45:32
Dernière modification le : vendredi 8 décembre 2017 - 01:22:16

Fichier

LaHouleAM.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Citation

A. Maurel, J.-J. Marigo, P. Cobelli, P. Petitjeans, V. Pagneux. Revisiting the anisotropy of metamaterials for water waves. Physical Review B : Condensed matter and materials physics, American Physical Society, 2017, 96 (13), pp.134310. 〈10.1103/PhysRevB.96.134310〉. 〈hal-01657084〉

Partager

Métriques

Consultations de la notice

19

Téléchargements de fichiers

2