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

1995/09/08 by S. A. van Langen, Piet W. Brouwer, P. W. Brouwer +1 · 1 citation
Engineering · Physics and Astronomy · #Quantum chaos and dynamical systems #Quantum optics and atomic interactions #Terahertz technology and applications #cond-mat

paper · pdf · doi:10.1103/physreve.53.r1344

published as Phys.Rev.E 53, R1344 (1996) · 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

arxiv created 1995/09/08 · openalex publication_date 1996/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A nonperturbative 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=\ensuremathΣ_mT_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.

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• Mesoscopic Fluctuations and Multifractality at and across Measurement-Induced Phase Transition

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