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Trace formula for chaotic dielectric resonators tested with microwave experiments

Bittner, S. and Dietz, B. and Dubertrand, R. and Isensee, J. and Miski-Oglu, M. and Richter, A. (2012):
Trace formula for chaotic dielectric resonators tested with microwave experiments.
In: Physical Review E, pp. 056203, 85, (5), ISSN 1539-3755, [Online-Edition: http://dx.doi.org/10.1103/PhysRevE.85.056203],
[Article]

Item Type: Article
Erschienen: 2012
Creators: Bittner, S. and Dietz, B. and Dubertrand, R. and Isensee, J. and Miski-Oglu, M. and Richter, A.
Title: Trace formula for chaotic dielectric resonators tested with microwave experiments
Language: English
Journal or Publication Title: Physical Review E
Volume: 85
Number: 5
Divisions: 05 Department of Physics
05 Department of Physics > Institute of Nuclear Physics
Zentrale Einrichtungen
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC)
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC) > C: Fundamentale Experimente
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres > CRC 634: Nuclear Structure, Nuclear Astrophysics and Fundamental Experiments at Low Momentum Transfer at the Superconducting Darmstadt Accelerator (S-DALINAC) > C: Fundamentale Experimente > C4: Quantenchaos und wellendynamisches Chaos
DFG-Collaborative Research Centres (incl. Transregio) > Collaborative Research Centres
DFG-Collaborative Research Centres (incl. Transregio)
Date Deposited: 15 May 2012 12:46
Official URL: http://dx.doi.org/10.1103/PhysRevE.85.056203
Identification Number: doi:10.1103/PhysRevE.85.056203
Alternative Abstract:
Alternative abstract Language
We measured the resonance spectra of two stadium-shaped dielectric microwave resonators and tested a semiclassical trace formula for chaotic dielectric resonators proposed by Bogomolny et al. [ Phys. Rev. E 78 056202 (2008)]. We found good qualitative agreement between the experimental data and the predictions of the trace formula. Deviations could be attributed to missing resonances in the measured spectra in accordance with previous experiments [ Phys. Rev. E 81 066215 (2010)]. The investigation of the numerical length spectrum showed good qualitative and reasonable quantitative agreement with the trace formula. It demonstrated, however, the need for higher-order corrections of the trace formula. The application of a curvature correction to the Fresnel reflection coefficients entering the trace formula yielded better agreement, but deviations remained, indicating the necessity of further investigations.English
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