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DY: Fachverband Dynamik und Statistische Physik
DY 15: ISPS Intersectional Poster Session
DY 15.18: Poster
Dienstag, 15. März 2011, 18:00–20:00, P1
Trace Formula for Three-dimensional Dielectric Resonators — •Stefan Bittner1, Barbara Dietz1, Maksim Miski-Oglu1, and Achim Richter1,2 — 1Institut für Kernphysik Darmstadt — 2ECT* Trento
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 is intensely studied for these systems. Trace formulas provide a connection between the density of states of the cavity and the periodic orbits of the corresponding billiard. A trace formula for two-dimensional dielectric resonators has been proposed [1] and successfully tested [2] in recent experiments. Typically microcavities, however, are three-dimensional flat disks which can only be approximated as two-dimensional objects with the help of a so-called effective index of refraction. We investigate 3d dielectric microwave resonators with the shape of circular flat disks. The experimental length spectra are analyzed with a combination of the trace formula for 2d dielectric resonators and the effective index of refraction model. The positions of the peaks in the length spectra can be successfully assigned to the lengths of periodic orbits when taking into account the dispersion of the effective index of refraction and the systematic inaccuracy of the effective index of refraction model. The work presented on this poster was supported by the DFG within SFB 634.
Bogomolny et al., Phys. Rev. E 78, 056202 (2008).
Bittner et al., Phys. Rev. E 81, 066215 (2010).