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Non-perturbative calculation of the probability distribution of plane-wave transmission through a disordered waveguide

S. A. van Langen·P. W. Brouwer·C. W. J. Beenakker
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Abstract

A non-perturbative random-matrix theory is applied to the transmission of a monochromatic scalar wave through a disordered waveguide. The probability distributions of the transmittances T_{mn} and T_n=\sum_m T_{mn} of an incident mode n are calculated in the thick-waveguide limit, for broken time-reversal symmetry. A crossover occurs from Rayleigh or Gaussian statistics in the diffusive regime to lognormal statistics in the localized regime. A qualitatively different crossover occurs if the disordered region is replaced by a chaotic cavity. ***Submitted to Physical Review E.***

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S. A. van Langen, P. W. Brouwer, C. W. J. Beenakker. 1995-09-08. Non-perturbative calculation of the probability distribution of plane-wave transmission through a disordered waveguide. https://doi.org/10.1103/physreve.53.r1344

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