Distribution of reflection eigenvalues in many-channel chaotic cavities with absorption
arXiv:cond-mat/0311285 · doi:10.1103/PhysRevE.69.035201
Abstract
The 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.
4 pages, 2 figures; (Ref.[5b] added, appropriate modification in text)
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- Statistical wave scattering through classically chaotic cavities in the presence of surface absorption
- Distribution of the Wigner-Smith time-delay matrix for chaotic cavities with absorption and coupled Coulomb gases
- Interpolation formula for the reflection coefficient distribution of absorbing chaotic cavities in the presence of time reversal symmetry