Revisiting the anisotropy of metamaterials for water waves
Revisiting the anisotropy of metamaterials for water waves
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DOI：
10.1103/physrevb.96.134310
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发表时间：
2017-10-26
影响因子：
3.7
通讯作者：
Pagneux, V.
中科院分区：
文献类型：
--
作者：
Maurel, A.;Marigo, J. -J.;Pagneux, V.
我们从理论上和实验上都证明，水波超材料的各向异性程度比使用水波与其电磁或声学对应物之间的类比预测的各向异性程度要高得多。这是因为这种基于二维浅水近似的类比无法解释水深中的三维近场效应。为了正确捕捉这些影响，我们对全三维问题进行均质化，并表明测深的亚波长分层结构在浅水区产生显着的各向异性参数。此外，我们通过提出色散关系的经验各向异性版本来扩展均质预测的有效性。
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.