Sa. Vanlangen et al., NONPERTURBATIVE CALCULATION OF THE PROBABILITY-DISTRIBUTION OF PLANE-WAVE TRANSMISSION THROUGH A DISORDERED WAVE-GUIDE, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 53(2), 1996, pp. 1344-1347
A nonperturbative random-matrix theory is applied to the transmission
of a monochromatic scalar wave through a disordered waveguide. The pro
bability distributions of the transmittances T-mn and T-n = Sigma(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 o
r 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.