Universal statistics of the scattering coefficient of chaotic microwave cavities.
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TLDR
The normalized scattering coefficient is obtained whose probability density function is predicted to be universal in that it depends only on the loss of the cavity, and which applies to scattering measurements on any wave chaotic system.Abstract:
We consider the statistics of the scattering coefficient S of a chaotic microwave cavity coupled to a single port. We remove the nonuniversal effects of the coupling from the experimental S data using the radiation impedance obtained directly from the experiments. We thus obtain the normalized scattering coefficient whose probability density function (PDF) is predicted to be universal in that it depends only on the loss (quality factor) of the cavity. We compare experimental PDFs of the normalized scattering coefficients with those obtained from random matrix theory (RMT), and find excellent agreement. The results apply to scattering measurements on any wave chaotic system.read more
Citations
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References
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Book
Quantum signatures of chaos
TL;DR: The distinction between level clustering and level repulsion is one of the quantum analogues of the classical distinction between globally regular and predominantly chaotic motion (see Figs. 1, 2, 3) as mentioned in this paper.
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Statistics of Impedance and Scattering Matrices in Chaotic Microwave Cavities: Single Channel Case
TL;DR: In this paper, the authors studied the statistical properties of the impedance and scattering matrices of open electromagnetic cavities with several transmission lines or waveguides connected to the cavity, and they mainly discussed the single port case.