Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity
Disordered Systems and Neural Networks
2007-05-23 v1 Mesoscale and Nanoscale Physics
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.
Cite
@article{arxiv.cond-mat/9908325,
title = {Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity},
author = {C. W. J. Beenakker and P. W. Brouwer},
journal= {arXiv preprint arXiv:cond-mat/9908325},
year = {2007}
}
Comments
4 pages, 1 figure, to appear in Physica E (special issue on Dynamics of Complex Systems)