Non-perturbative calculation of the probability distribution of plane-wave transmission through a disordered waveguide
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.***
Keywords
Cite
@article{arxiv.cond-mat/9509042,
title = {Non-perturbative calculation of the probability distribution of plane-wave transmission through a disordered waveguide},
author = {S. A. van Langen and P. W. Brouwer and C. W. J. Beenakker},
journal= {arXiv preprint arXiv:cond-mat/9509042},
year = {2007}
}
Comments
7 pages, REVTeX-3.0, 5 postscript figures appended as self-extracting archive. A complete postscript file with figures and text (4 pages) is available from http://rulgm4.LeidenUniv.nl/preprints.html