Frozen water waves over rough topographical bottoms

Details Frozen water waves over rough topographical bottoms Frozen water waves over rough topographical bottoms

2004-04-28

arxiv.org/abs/physics/0404130v1

Phys. Rev. E 70, 036312 (2004)

Physics

Fluid Dynamics

4 pages and 5 figures

Scientific paper

10.1103/PhysRevE.70.036312

The propagation of surface water waves over rough topographical bottoms is investigated by the multiple scattering theory. It is shown that the waves can be localized spatially through the process of multiple scattering and wave interference, a peculiar wave phenomenon which has been previously discussed for frozen light in optical systems (S. John, Nature {\bf 390}, 661, (1997)). We demonstrate that when frozen, the transmission of the waves falls off exponentially, and a cooperative behavior appears, fully supporting previous predictions. A phase diagram method is used to illustrate this distinct phase states in the wave propagation.

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