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
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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
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Año: | 2017
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Volumen: | 96
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Número: | 13
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DOI: |
http://dx.doi.org/10.1103/PhysRevB.96.134310 |
Título revista: | Physical Review B
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Título revista abreviado: | Phys. Rev. B
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ISSN: | 24699950
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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