Berlin 2012 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Quantum Chaos II

DY 24.5: Vortrag

Donnerstag, 29. März 2012, 12:30–12:45, MA 001

From chaotic phase space to structured far fields: A ray study of optical microcavities — •Daniel Kotik and Martina Hentschel — Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Straße 83, 01187 Dresden

Optical microcavities have received continuous interest both as model systems for quantum chaos in open systems and as promising nanophotonic devices. The openness of the system originates from the violation of total internal reflection at the dielectric boundary for rays with an angle of incidence smaller than the critical angle. These rays leave the cavity and contribute to the far-field pattern of the microresonator, a property that crucially determines the application potential of the device. There exists an intimate relation between the resonator’s unstable manifold and its emission properties that has been known now for some time. Here we present a systematic study on how the far field depends on the details of the ray simulations (choice of initial conditions, number of reflections/trajectory length considered) and on the resonator parameters (geometry, refractive index). Our objective is to investigate under what conditions the far field possesses the same invariant properties as the unstable manifold and to establish the corresponding optimal settings for reliable ray simulations.