Revisiting the anisotropy of metamaterials for water waves
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 tw...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_24699950_v96_n13_p_Maurel |
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todo:paper_24699950_v96_n13_p_Maurel2023-10-03T16:41:45Z Revisiting the anisotropy of metamaterials for water waves Maurel, A. Marigo, J.-J. Cobelli, P. Petitjeans, P. Pagneux, V. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_24699950_v96_n13_p_Maurel |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
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. |
| format |
JOUR |
| author |
Maurel, A. Marigo, J.-J. Cobelli, P. Petitjeans, P. Pagneux, V. |
| spellingShingle |
Maurel, A. Marigo, J.-J. Cobelli, P. Petitjeans, P. Pagneux, V. Revisiting the anisotropy of metamaterials for water waves |
| author_facet |
Maurel, A. Marigo, J.-J. Cobelli, P. Petitjeans, P. Pagneux, V. |
| author_sort |
Maurel, A. |
| title |
Revisiting the anisotropy of metamaterials for water waves |
| title_short |
Revisiting the anisotropy of metamaterials for water waves |
| title_full |
Revisiting the anisotropy of metamaterials for water waves |
| title_fullStr |
Revisiting the anisotropy of metamaterials for water waves |
| title_full_unstemmed |
Revisiting the anisotropy of metamaterials for water waves |
| title_sort |
revisiting the anisotropy of metamaterials for water waves |
| url |
http://hdl.handle.net/20.500.12110/paper_24699950_v96_n13_p_Maurel |
| work_keys_str_mv |
AT maurela revisitingtheanisotropyofmetamaterialsforwaterwaves AT marigojj revisitingtheanisotropyofmetamaterialsforwaterwaves AT cobellip revisitingtheanisotropyofmetamaterialsforwaterwaves AT petitjeansp revisitingtheanisotropyofmetamaterialsforwaterwaves AT pagneuxv revisitingtheanisotropyofmetamaterialsforwaterwaves |
| _version_ |
1807323491193585664 |