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

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

2003-09-27

arxiv.org/abs/physics/0309115v1

Phys. Rev. E 69, 066308 (2004)

Physics

Fluid Dynamics

4 pages, 3 figures

Scientific paper

10.1103/PhysRevE.69.066308

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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