R Schäfer et al 2003 J. Phys. A: Math. Gen. 36 3289 doi:10.1088/0305-4470/36/12/325
R Schäfer1, T Gorin2, T H Seligman3 and H-J Stöckmann1
Show affiliationsThe scattering matrix was measured for microwave cavities with two antennae. It was analysed 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 behaviour can only be modelled 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.
62M10 Time series, auto-correlation, regression, etc. (See also 91B84)
Issue 12 (28 March 2003)
Received 31 July 2002, in final form 2 December 2002
Published 12 March 2003
R Schäfer et al 2003 J. Phys. A: Math. Gen. 36 3289
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