Refraction of water waves by periodic cylinder arrays
Refraction of water waves by periodic cylinder arrays
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DOI：
10.1103/physrevlett.95.154501
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发表时间：
2005-10-07
影响因子：
8.6
通讯作者：
Chan, CT
中科院分区：
文献类型：
--
作者：
Hu, XH;Chan, CT
我们表明，在长波长的限制，水波传播通过一个阵列的底部安装的垂直圆柱体，如果水有一个有效的深度和有效的重力常数，取决于填充率的圆柱体，导致折射现象，可以描述的解析公式。得到的结果与严格的均匀化技术，以及多重散射形式主义，给出完整的色散关系。这种现象提供了一种控制海浪能量流动的机制，例如水波聚焦透镜。
We show that in the long wavelength limit, water waves propagate through an array of bottom-mounted vertical cylinders as if the water has an effective depth and effective gravitational constant that depends on the filling ratio of the cylinders, leading to refraction phenomena that can be described by analytic formulas. The results are obtained with rigorous homogenization techniques, as well as the multiple scattering formalism that gives full dispersion relationships. This phenomenon provides a mechanism to control the flow of ocean wave energy, as exemplified by a water-wave focusing lens.