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High-frequency dynamics of wave localisation

C. W. J. Beenakker·K. J. H. van Bemmel·P. W. Brouwer
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Abstract

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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C. W. J. Beenakker, K. J. H. van Bemmel, P. W. Brouwer. 1999-09-03. High-frequency dynamics of wave localisation. https://doi.org/10.1103/physreve.60.r6313

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