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 and of an incident mode 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.
- Received 7 September 1995
DOI:https://doi.org/10.1103/PhysRevE.53.R1344
©1996 American Physical Society