Berlin 2012 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 29: Posters II
DY 29.3: Poster
Donnerstag, 29. März 2012, 17:00–19:00, Poster A
Experimental Test of a Trace Formula for Chaotic Dielectric Resonators — Stefan Bittner1, Barbara Dietz1, •Jochen Isensee1, Maksim Miski-Oglu1, Achim Richter1,2, and Christopher Ripp1 — 1Institut für Kernphysik Darmstadt — 2ECT* Trento
Due to their applicability, e.g., as microlasers and or in integrated optics dielectric resonators have drawn a lot of attention in recent years. The correspondence between ray and wave dynamics is of particular interest to understand their properties and is provided by so-called trace formulas. We present an experimental test of a trace formula proposed by Bogomolny et al. in Ref. [1] for dielectric resonators with chaotic classical dynamics. The frequency spectra of two dielectric stadium resonators made of Teflon were measured in a microwave experiment. About 5% of the total number of resonances could be extracted from the measured frequency spectra. The corresponding length spectra were compared to semiclassical ones obtained with the help of the trace formula. Good qualitative agreement between the experimental and the semiclassical length spectrum was found. Further investigations with numerically calculated spectra revealed, however, that higher order corrections to the trace formula are needed. This work was supported by the DFG within SFB 634.
[1]: Bogomolny et al., Phys. Rev. E 78, 056202 (2008).