Berlin 2008 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 17: Poster I

DY 17.3: Poster

Dienstag, 26. Februar 2008, 16:00–18:00, Poster C

Investigation of three-dimensional wave dynamical systems — •Stefan Bittner, Barbara Dietz, Thomas Friedrich, Maksim Miski-Oglu, Pedro Oria Iriarte, Achim Richter, and Florian Schäfer — Institut für Kernphysik, Darmstadt

Two different three-dimensional systems are studied. The first system is investigated experimentally. It consists of a flat, circular dielectric microwave resonator, an enlarged version of the resonators commonly used for microdisk lasers. The aim is to validate the principle of effective index of refraction as a simplified means to calculate the resonance frequencies of microdisk lasers. For this, the resonance frequencies of a flat microwave resonator made of Teflon were measured and compared with effective index of refraction calculations. Significant deviations between the measured and computed frequencies were found.

The second system is investigated theroretically. It is a 3D stadium billiard, which consists of two quarter cylinders that are rotated with respect to each other by 90 degrees. Its classical dynamics is chaotic and exhibits a few nongeneric periodic orbits. We introduce an analytic method for their treatment. Small deviations of the spectral properties from random matrix theory led to the discovery of stable orbits. We theoretically investigated the effect of the breaking of the symmetry existent for equal radii on spectral properties of the quantum billiard. It is shown that the classically abrupt change of the symmetry properties of the system is accompanied by a gradual change of the spectral properties of the quantum billiard.