Regensburg 2010 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 19: Quantum Chaos
DY 19.4: Vortrag
Mittwoch, 24. März 2010, 15:00–15:15, H38
Trace Formula for Dielectric Cavities — •Stefan Bittner1, Barbara Dietz1, Maksim Miski-Oglu1, Pedro Oria-Iriarte1, Birgit Quast1, Achim Richter1,2, and Florian Schäfer1,3 — 1Institut für Kernphysik Darmstadt — 2ECT* Trento — 3Università degli Studi di Firenze
Microlasers and dielectric microcavities have gained great interest due to possible applications in e.g. telecommunications and as a new type of wave-dynamical billiards. Especially the correspondence between ray- and wave-optics in these systems is being intensely studied. Recently, a trace formula for dielectric cavities has been proposed [1], which provides a connection between the density of states of the cavity and the periodic orbits of the corresponding billiard. In order to test this trace formula experimentally, we have measured the spectra of circular and square dielectric microwave resonators. The length spectra were compared to the prediction of the trace formula and large deviations were observed. These are attributed to the fact that only resonances with long lifetimes can be observed experimentally. Moreover, the systematics of observed and unobserved modes must be taken into account for an understanding of the experimental length spectra. The work presented in this talk was supported by DFG within SFB 634.
[1] Bogomolny et al., Phys. Rev. E 78, 056202 (2008).