Trace formula for chaotic dielectric resonators tested with microwave experiments

S. Bittner, Barbara Dietz, Remy Dubertrand, J. Isensee, Maksim Miski-Oglu, Achim Richter

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)
2 Downloads (Pure)

Abstract

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.
Original languageEnglish
Article number056203
JournalPhysical Review E
Volume85
Issue number5
DOIs
Publication statusPublished - 9 May 2012
Externally publishedYes

Cite this