Wave Scattering through Classically Chaotic Cavities in the Presence of Absorption: An Information-Theoretic Model

Details Wave Scattering through Classically Chaotic Cavities in the Presence of Absorption: An Information-Theoretic Model Wave Scattering through Classically Chaotic Cavities in the Presence of Absorption: An Information-Theoretic Model

1999-05-13

arxiv.org/abs/cond-mat/9905177v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, latex, 3 ps figures

Scientific paper

10.1103/PhysRevE.61.R17

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 $ =\alpha n$: n is the dimensionality of S, and $0\leq \alpha \leq 1, \alpha =0(1)$ 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 n=1. For $n\gg 1$ Rayleigh statistics is attained even with no absorption; here we extend the study to $\alpha <1$. 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.

Affiliated with

Also associated with

No associations

Rating

Wave Scattering through Classically Chaotic Cavities in the Presence of Absorption: An Information-Theoretic Model does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Wave Scattering through Classically Chaotic Cavities in the Presence of Absorption: An Information-Theoretic Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Wave Scattering through Classically Chaotic Cavities in the Presence of Absorption: An Information-Theoretic Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-247666