Frozen water waves over rough topographical bottoms
Fluid Dynamics
2009-11-10 v1 Geophysics
Abstract
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.
Cite
@article{arxiv.physics/0404130,
title = {Frozen water waves over rough topographical bottoms},
author = {Liang-shan Chen and Zhen Ye},
journal= {arXiv preprint arXiv:physics/0404130},
year = {2009}
}
Comments
4 pages and 5 figures