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Bandgaps in the propagation and scattering of surface water waves over cylindrical steps

Liang-Shan Chen·Chao-Hsien Guo·Zhen Ye·Xin Sun
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Abstract

Here we investigate the propagation and scattering of surface water waves by arrays of bottom-mounted cylindrical steps. Both periodic and random arrangements of the steps are considered. The wave transmission through the arrays is computed using the multiple scattering method based upon a recently derived formulation. For the periodic case, the results are compared to the band structure calculation. We demonstrate that complete band gaps can be obtained in such a system. Furthermore, we show that the randomization of the location of the steps can significantly reduce the transmission of water waves. Comparison with other systems is also discussed.

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Liang-Shan Chen, Chao-Hsien Guo, Zhen Ye, Xin Sun. 2003-09-27. Bandgaps in the propagation and scattering of surface water waves over cylindrical steps. https://doi.org/10.1103/physreve.69.066308

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