Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity

Details Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity

1999-08-24

arxiv.org/abs/cond-mat/9908325v1

Physica E 9, 463 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

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

Scientific paper

10.1016/S1386-9477(00)00245-9

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.

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