Distribution of reflection eigenvalues in many-channel chaotic cavities with absorption

dc.creatorSavin, D. V.
dc.creatorSommers, H. -J.
dc.date2003-11-12
dc.date2003-11-13
dc.date.accessioned2026-07-07T02:54:43Z
dc.date.available2026-07-07T02:54:43Z
dc.descriptionThe reflection matrix R=S^{\dagger}S, with S being the scattering matrix, differs from the unit one, 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 on 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.
dc.description4 pages, 2 figures; (Ref.[5b] added, appropriate modification in text)
dc.identifierhttps://arxiv.org/abs/cond-mat/0311285
dc.identifierhttp://arxiv.org/abs/cond-mat/0311285
dc.identifierPhys. Rev. E 69, 035201(R) (2004)
dc.identifierdoi:10.1103/PhysRevE.69.035201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/22672
dc.subjectMesoscale and Nanoscale Physics
dc.subjectChaotic Dynamics
dc.subjectQuantum Physics
dc.titleDistribution of reflection eigenvalues in many-channel chaotic cavities with absorption
dc.typetext

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