Reflectance fluctuations in an absorbing random waveguide
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We study the statistics of the reflectance (the ratio of reflected and incident intensities) of an N-mode disordered waveguide with weak absorption g per mean free path. Two distinct regimes are identified. The regime γ N2≫1 shows universal fluctuations. With increasing length L of the waveguide, the variance of the reflectance changes from the value 2/15N2, characteristic for universal conductance fluctuations in disordered wires, to another value 1/8N2, characteristic for chaotic cavities. The weak-localization correction to the average reflectance performs a similar crossover from the value 1/3N to 1/4N. In the regime γ N2≫1, the large-L distribution of the reflectance R becomes very wide and asymmetric, P(R)∝(1−R)−2 for R≪1−γN.
PACS numbers05.40.+j 42.25.Bs 78.20.Ci
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