Comptes Rendus
Directional source of water waves by a crystal of surface-piercing cylinders
Comptes Rendus. Mécanique, Volume 343 (2015) no. 12, pp. 689-699.

The feasibility of using the band structure of a crystal to realize directional emission of water waves is investigated numerically and experimentally. The directionality of a source inside a square array of cylinders is obtained numerically for a perfect lattice in a lossless liquid. But in the experiments, the directivity is weakened, due to the effects of losses. Nevertheless, the waves are shown to satisfy the Helmholtz equation when proper attenuation is accounted for. Thus, the robustness of the directionality is studied numerically with respect to the effects of the attenuation and of the disorder.

On étudie la faisabilité d'une source directive pour les ondes à la surface de l'eau, basée sur les propriétés de la structure de bandes d'un cristal. Cette directivité est caractérisée numériquement pour un réseau périodique de cylindres rigides dans un fluide parfait. Dans l'expérience, la directivité est affaiblie, à cause de l'atténuation. Cependant, en prenant en compte cette atténuation, la propagation des ondes est toujours correctement décrite par l'équation de Helmholtz. Aussi, la robustesse de la directivité est-elle étudiée numériquement plus en détail, vis-à-vis des effets d'atténuation et de désordre.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crme.2015.06.005
Keywords: Metamaterial, Water waves, Periodic crystal
Mot clés : Metamatériau, Cristal périodique

Mathieu Chekroun 1; Agnès Maurel 2; Vincent Pagneux 1; P. Petitjeans 3

1 LAUM, Université du Maine, avenue Olivier-Messian, 72085 Le Mans cedex 9, France
2 Institut Langevin, ESPCI, 1, rue Jussieu, 75005 Paris, France
3 PMMH, ESPCI, 10, rue Vauquelin, 75005 Paris, France
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Mathieu Chekroun; Agnès Maurel; Vincent Pagneux; P. Petitjeans. Directional source of water waves by a crystal of surface-piercing cylinders. Comptes Rendus. Mécanique, Volume 343 (2015) no. 12, pp. 689-699. doi : 10.1016/j.crme.2015.06.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2015.06.005/

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