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

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

Here we investigate the propagation and scattering of surface water waves in the presence of 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...

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Veröffentlicht in:Physical review. E, Statistical, nonlinear, and soft matter physics Statistical, nonlinear, and soft matter physics, 2004-06, Vol.69 (6 Pt 2), p.066308-066308, Article 066308
Hauptverfasser: Chen, Liang-Shan, Kuo, Chao-Hsien, Ye, Zhen, Sun, Xin
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container_issue 6 Pt 2
container_start_page 066308
container_title Physical review. E, Statistical, nonlinear, and soft matter physics
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creator Chen, Liang-Shan
Kuo, Chao-Hsien
Ye, Zhen
Sun, Xin
description Here we investigate the propagation and scattering of surface water waves in the presence of 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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title Band gaps in the propagation and scattering of surface water waves over cylindrical steps
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