Wave scattering through classically chaotic cavities in the presence of absorption: An information-theoretic model

Eugene Kogan, Pier A. Mello, He Liqun

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Abstract

We propose an information-theoretic model for the transport of waves through a chaotic cavity in the presence of absorption. The entropy of the S-matrix statistical distribution is maximized, with the constraint [Formula Presented] n is the dimensionality of S, and [Formula Presented] [Formula Presented] meaning complete (no) absorption. For strong absorption our result agrees with a number of analytical calculations already given in the literature. In that limit, the distribution of the individual (angular) transmission and reflection coefficients becomes exponential (Rayleigh statistics), even for [Formula Presented] For [Formula Presented] Rayleigh statistics is attained even with no absorption; here, we extend the study to [Formula Presented] The model is compared with random-matrix-theory numerical simulations: it describes the problem very well for strong absorption, but fails for moderate and weak absorptions. Thus, in the latter regime, some important physical constraint is missing in the construction of the model.

Original languageEnglish
Pages (from-to)R17-R20
JournalPhysical Review E
Volume61
Issue number1
DOIs
StatePublished - 2000

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