Chaotic Scattering in the Regime of Weakly Overlapping Resonances

Details Chaotic Scattering in the Regime of Weakly Overlapping Resonances Chaotic Scattering in the Regime of Weakly Overlapping Resonances

2008-08-26

arxiv.org/abs/0808.3503v1

Phys.Rev.E78:055204,2008

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

10.1103/PhysRevE.78.055204

We measure the transmission and reflection amplitudes of microwaves in a resonator coupled to two antennas at room temperature in the regime of weakly overlapping resonances and in a frequency range of 3 to 16 GHz. Below 10.1 GHz the resonator simulates a chaotic quantum system. The distribution of the elements of the scattering matrix S is not Gaussian. The Fourier coefficients of S are used for a best fit of the autocorrelation function if S to a theoretical expression based on random--matrix theory. We find very good agreement below but not above 10.1 GHz.

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