Experimental Observation of Localized Modes in a Dielectric Square Resonator

S. Bittner 1, E. Bogomolny 2, B. Dietz 3, M. Miski-Oglu 3, A. Richter 4

Physical Review E 88 (2013) 062906

We investigated the frequency spectra and field distributions of a dielectric square resonator in a microwave experiment. Since such systems cannot be treated analytically, the experimental studies of their properties are indispensable. The momentum representation of the measured field distributions shows that all resonant modes are localized on specific classical tori of the square billiard. Based on these observations a semiclassical model was developed. It shows excellent agreement with all but a single class of measured field distributions that will be treated separately.

  • 1 : Institut für Kernphysik
    Technische Universität Darmstadt
  • 2 : Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS)
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 3 : Institut für Kernphysik
    Technische Universität Darmstadt
  • 4 : Institute of Environmental Physics
    University of Bremen