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Application of a trace formula to the spectra of flat three-dimensional dielectric resonators

Bittner, S. and Bogomolny, E. and Dietz, B. and Miski-Oglu, M. and Richter, A. (2012):
Application of a trace formula to the spectra of flat three-dimensional dielectric resonators.
In: Physical Review E, pp. 026203, 85, (2), ISSN 1539-3755,
[Online-Edition: http://dx.doi.org/10.1103/PhysRevE.85.026203],
[Article]

Item Type: Article
Erschienen: 2012
Creators: Bittner, S. and Bogomolny, E. and Dietz, B. and Miski-Oglu, M. and Richter, A.
Title: Application of a trace formula to the spectra of flat three-dimensional dielectric resonators
Language: English
Journal or Publication Title: Physical Review E
Volume: 85
Number: 2
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: 03 Feb 2012 12:55
Official URL: http://dx.doi.org/10.1103/PhysRevE.85.026203
Identification Number: doi:10.1103/PhysRevE.85.026203
Alternative Abstract:
Alternative abstract Language
The length spectra of flat three-dimensional dielectric resonators of circular shape were determined from a microwave experiment. They were compared to a semiclassical trace formula obtained within a two-dimensional model based on the effective index of refraction approximation and a good agreement was found. It was necessary to take into account the dispersion of the effective index of refraction for the two-dimensional approximation. Furthermore, small deviations between the experimental length spectrum and the trace formula prediction were attributed to the systematic error of the effective index of refraction approximation. In summary, the methods developed in this article enable the application of the trace formula for two-dimensional dielectric resonators also to realistic, flat three-dimensional dielectric microcavities and -lasers, allowing for the interpretation of their spectra in terms of classical periodic orbits.English
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