Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity
arXiv:cond-mat/9908325 · doi:10.1016/S1386-9477(00)00245-9
Abstract
The scattering-matrix product SS+ of a weakly absorbing medium is related by a unitary transformation to the time-delay matrix without absorption. It follows from this relationship that the eigenvalues of SS+ for a weakly absorbing chaotic cavity are distributed according to a generalized Laguerre ensemble.
4 pages, 1 figure, to appear in Physica E (special issue on Dynamics of Complex Systems)