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

Authors: Schäfer R.1; Gorin T.2; Seligman T.H.3; Stöckmann H-J.1

Source: Journal of Physics A: Mathematical and General, Volume 36, Number 12, 2003 , pp. 3289-3302(14)

Publisher: Institute of Physics Publishing

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Abstract:

The 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.

Language: English

Document Type: Miscellaneous

Affiliations: 1: Fachbereich Physik, Philipps-Universität Marburg, Renthof 5, D-35032 Marburg, Germany 2: Theoretische Quantendynamik, Fakultät für Physik, Universität Freiburg, Hermann-Herder-Str. 3, D-79104 Freiburg, Germany 3: Centro de Ciencias Físicas, Universidad Nacional Autónoma de México, Campus Morelos, CP 62251, Cuernavaca, Morelos, Mexico

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