2003/11/13 by Dmitry V. Savin, D. V. Savin, Hans-Jürgen Sommers +1
Physics and Astronomy · #Quantum chaos and dynamical systems #Random lasers and scattering media #Scientific Research and Discoveries #cond-mat.mes-hall #nlin.CD #quant-ph
paper · pdf · doi:10.1103/physreve.69.035201
published as Phys. Rev. E 69, 035201(R) (2004) · 4 pages, 2 figures; (Ref.[5b] added, appropriate modification in text)
arxiv created 2003/11/13 · openalex publication_date 2004/03/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The reflection matrix R=S(dagger)S, with S being the scattering matrix, differs from the unit matrix when absorption is finite. Using the random matrix approach, we calculate analytically the distribution function of its eigenvalues in the limit of a large number of propagating modes in the leads attached to a chaotic cavity. The obtained result is independent of the presence of time-reversal symmetry in the system, being valid at finite absorption and arbitrary openness of the system. The particular cases of perfectly and weakly open cavities are considered in detail. An application of our results to the problem of thermal emission from random media is briefly discussed.