Abstract
We compute the statistical distribution of the transmittance of a random waveguide with absorption in the limit of many propagating channels. We consider the average and fluctuations of the conductance , where is the transmission matrix, the density of transmission eigenvalues (the eigenvalues of , and the distribution of the plane-wave transmittances and For weak absorption (length smaller than the exponential absorption length , we compute moments of the distributions, while for strong absorption , we can find the complete distributions. Our findings explain recent experiments on the transmittance of random waveguides by Stoytchev and Genack [Phys. Rev. Lett. 79, 309 (1997)].
- Received 10 November 1997
DOI:https://doi.org/10.1103/PhysRevB.57.10526
©1998 American Physical Society