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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. © 2017 American Physical Society.

Registro:

Documento: Artículo
Título:Revisiting the anisotropy of metamaterials for water waves
Autor:Maurel, A.; Marigo, J.-J.; Cobelli, P.; Petitjeans, P.; Pagneux, V.
Filiación:I. Langevin, ESPCI, 1 rue Jussieu, Paris, 75005, France
LMS, Ecole Polytechnique, route de Saclay, Palaiseau, 91120, France
Dpt Fisica, Univ. Buenos Aires, IFIBA, Cuidad Universitaria, Buenos Aires, 1428, Argentina
PMMH, ESPCI, 10 rue Vauquelin, Paris, 75005, France
LAUM, Univ. du Maine, Av. O. Messiaen, Le Mans, 72085, France
Año:2017
Volumen:96
Número:13
DOI: http://dx.doi.org/10.1103/PhysRevB.96.134310
Título revista:Physical Review B
Título revista abreviado:Phys. Rev. B
ISSN:24699950
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_24699950_v96_n13_p_Maurel

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Citas:

---------- APA ----------
Maurel, A., Marigo, J.-J., Cobelli, P., Petitjeans, P. & Pagneux, V. (2017) . Revisiting the anisotropy of metamaterials for water waves. Physical Review B, 96(13).
http://dx.doi.org/10.1103/PhysRevB.96.134310
---------- CHICAGO ----------
Maurel, A., Marigo, J.-J., Cobelli, P., Petitjeans, P., Pagneux, V. "Revisiting the anisotropy of metamaterials for water waves" . Physical Review B 96, no. 13 (2017).
http://dx.doi.org/10.1103/PhysRevB.96.134310
---------- MLA ----------
Maurel, A., Marigo, J.-J., Cobelli, P., Petitjeans, P., Pagneux, V. "Revisiting the anisotropy of metamaterials for water waves" . Physical Review B, vol. 96, no. 13, 2017.
http://dx.doi.org/10.1103/PhysRevB.96.134310
---------- VANCOUVER ----------
Maurel, A., Marigo, J.-J., Cobelli, P., Petitjeans, P., Pagneux, V. Revisiting the anisotropy of metamaterials for water waves. Phys. Rev. B. 2017;96(13).
http://dx.doi.org/10.1103/PhysRevB.96.134310