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

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

1995-09-08

arxiv.org/abs/cond-mat/9509042v1

Phys.Rev.E 53, R1344 (1996)

Physics

Condensed Matter

7 pages, REVTeX-3.0, 5 postscript figures appended as self-extracting archive. A complete postscript file with figures and tex

Scientific paper

10.1103/PhysRevE.53.R1344

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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