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High-frequency dynamics of wave localization.

Authors
Type
Published Article
Journal
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
Publication Date
Volume
60
Issue
6 Pt A
Identifiers
PMID: 11970623
Source
Medline

Abstract

We study the effect of localization on the propagation of a pulse through a multimode disordered waveguide. The correlator <u(omega(1))u(*)(omega(2))> of the transmitted wave amplitude u at two frequencies differing by delta omega has for large delta omega the stretched exponential tail proportional to (- square root[tau(D)delta omega/2]). The time constant tau(D)=L(2)/D is given by the diffusion coefficient D, even if the length L of the waveguide is much greater than the localization length xi. Localization has the effect of multiplying the correlator by a frequency-independent factor exp(-L/2 xi), which disappears upon breaking time-reversal symmetry.

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