Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity

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.

arXiv comment4 pages, 1 figure, to appear in Physica E (special issue on Dynamics of Complex Systems)

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