Berlin 2012 – scientific programme

Parts | Days | Selection | Search | Updates | Downloads | Help

DY: Fachverband Dynamik und Statistische Physik

DY 24: Quantum Chaos II

DY 24.6: Talk

Thursday, March 29, 2012, 12:45–13:00, MA 001

Varying boundary conditions for dielectric microcavities — •Jörg Götte and Martina Hentschel — Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Str. 38, 01187 Dresden

Circle and semicircle billiards with mixed (Robin) boundary conditions, for which the mixing parameter varies along the boundaries, are singular, if the boundary contains a D point, at which the boundary condition is purely Dirichlet. The spectrum of the Laplace operator for such a billiard is no longer discrete and the energy levels form a continuous spectrum.

A versatile physical realisation to test the predictions of dynamical billiards are dielectric microvavities, and it is possible to design microcavities with varying boundary conditions by embedding a microresonator within a gradient index medium. However, the boundary condition for such a system are dielectric rather than mixed, and it is therefore interesting to see, if similar predictions can be made for an open, dielectric system, for which the exterior of the cavity has to be taken into account. In our work we determine the spectrum of energy levels of a dielectric microcavity with varying boundary conditions and test the system for integrability.