Reflectance Fluctuations in an Absorbing Random Waveguide

1996/07/17 by T. Sh. Misirpashaev, C. W. J. Beenakker
Physics and Astronomy · #cond-mat

paper · pdf · doi:10.1134/1.567190

published as Pis'ma ZhETF 64, 289-293 (1996) [JETP Lett. 64, 319-324 (1996)] · 7 pages, RevTeX, 2 postscript figures

arxiv created 1996/07/17 · arxiv updated 2009/11/30

Abstract

We study the statistics of the reflectance (the ratio of reflected and incident intensities) of an N-mode disordered waveguide with weak absorption γ per mean free path. Two distinct regimes are identified. The regime γN²≫1 shows universal fluctuations. With increasing length L of the waveguide, the variance of the reflectance changes from the value 2/15 N², characteristic for universal conductance fluctuations in disordered wires, to another value 1/8 N², characteristic for chaotic cavities. The weak-localization correction to the average reflectance performs a similar crossover from the value 1/3 N to 1/4 N. In the regime γN²≪1, the large-L distribution of the reflectance R becomes very wide and asymmetric, P(R)∝ (1-R)^-2 for R≪ 1-γN.

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