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Correlation functions of scattering matrix elements in microwave cavities with strong absorption

2002/12/09 by R. Schaefer, T. Gorin, T. H. Seligman +1 · 1 citation
Physics and Astronomy · #nlin.CD #cond-mat

paper · pdf · doi:10.1088/0305-4470/36/12/325

arxiv created 2002/12/09 · arxiv updated 2009/11/30

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.

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