# High-frequency dynamics of wave localization.

- Authors
- Type
- Published Article
- Journal
- Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- Publication Date
- Dec 01, 1999
- Volume
- 60
- Issue
- 6 Pt A
- Identifiers
- PMID: 11970623
- Source
- Medline
- License
- Unknown

## 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.