PMID: 11308637Apr 20, 2001Paper

Diffusion and localization of surface gravity waves over irregular bathymetry

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
A Stepaniants

Abstract

An interaction of a linear surface gravity wave with weakly irregular one-dimensional bathymetry has been analyzed using the diagrammatic technique. The Boltzmann diffusion coefficient and the Anderson localization length for the wave energy density are expressed analytically via a correlation function of irregularities of the sea floor. The results are applied to different topographies. The effect of a finite region of irregularities, viscous damping, wave interaction, current, geometrically diffuse wave source, and anisotropy on localization is briefly discussed. The theory provides a scenario for the observation of large scale Anderson localization phenomenon in a tank or possibly in coastal waters.

References

Dec 9, 1985·Physical Review Letters· Van Albada MP, A Lagendijk

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Citations

Oct 29, 2005·Chaos·Ousseynou NakoulimaAndrey Kurkin

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