PMID: 15244727Jul 13, 2004Paper

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Liang-Shan ChenXin Sun

Abstract

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.

References

Nov 1, 1987·Physical Review. B, Condensed Matter·C A Condat, T R Kirkpatrick
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Apr 17, 2001·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·M TorresJ Fayos
Sep 21, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jørgen H PihlMatthew J Hancock
Apr 12, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Zhen Ye
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xinhua HuSonglin Feng
Oct 4, 2003·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Géraldine L Grataloup, Chiang C Mei

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Citations

Oct 26, 2005·Physical Review Letters·Xinhua Hu, C T Chan
Mar 16, 2007·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tom Chou

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