Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity

C.W.J. Beenakker , P.W. Brouwer

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classification ❄️ cond-mat.dis-nn cond-mat.mes-hall

keywords absorbingweaklycavitychaoticeigenvaluesabsorptionaccordingdistributed

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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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Distribution of the reflection eigenvalues of a weakly absorbing chaotic cavity

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