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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.
Littérature citée [37 références]
https://hal.archives-ouvertes.fr/hal-02454086
Contributeur : Philippe Petitjeans <>
Soumis le : vendredi 24 janvier 2020 - 11:25:26
Dernière modification le : mercredi 17 février 2021 - 15:26:08
Archivage à long terme le : : samedi 25 avril 2020 - 14:29:19
Contributeur : Philippe Petitjeans <>
Soumis le : vendredi 24 janvier 2020 - 11:25:26
Dernière modification le : mercredi 17 février 2021 - 15:26:08
Archivage à long terme le : : samedi 25 avril 2020 - 14:29:19
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