Correlation functions of scattering matrix elements in microwave cavities with strong absorption
Chaotic Dynamics
2009-11-07 v1 Condensed Matter
Abstract
The scattering matrix was measured for microwave cavities with two antennas. It was analyzed in the regime of overlapping resonances. The theoretical description in terms of a statistical scattering matrix and the rescaled Breit-Wigner approximation has been applied to this regime. The experimental results for the auto-correlation function show that the absorption in the cavity walls yields an exponential decay. This behavior can only be modeled using a large number of weakly coupled channels. In comparison to the auto-correlation functions, the cross-correlation functions of the diagonal S-matrix elements display a more pronounced difference between regular and chaotic systems.
Cite
@article{arxiv.nlin/0212021,
title = {Correlation functions of scattering matrix elements in microwave cavities with strong absorption},
author = {R. Schaefer and T. Gorin and T. H. Seligman and H. -J. Stoeckmann},
journal= {arXiv preprint arXiv:nlin/0212021},
year = {2009}
}