High-frequency dynamics of wave localisation

Details High-frequency dynamics of wave localisation High-frequency dynamics of wave localisation

1999-09-03

arxiv.org/abs/cond-mat/9909050v1

Phys.Rev.E 60, R6313 (1999)

Physics

Condensed Matter

Disordered Systems and Neural Networks

3 pages, 1 figure

Scientific paper

10.1103/PhysRevE.60.R6313

We study the effect of localisation on the propagation of a pulse through a multi-mode disordered waveguide. The correlator of the transmitted wave amplitude u at two frequencies differing by delta_omega has for large delta_omega the stretched exponential tail ~exp(-sqrt{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 localisation length xi. Localisation has the effect of multiplying the correlator by a frequency-independent factor exp(-L/2xi), which disappears upon breaking time-reversal symmetry.

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