Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples

E. Bogomolny 1, N. Djellali 2, R. Dubertrand 3, I. Gozhyk 2, M. Lebental 2, C. Schmit 1, C. Ulysse 4, J. Zyss 2

Physical Review E: Statistical, Nonlinear, and Soft Matter Physics 83 (2011) 036208

Dielectric resonators are open systems particularly interesting due to their wide range of applications in optics and photonics. In a recent paper [PRE, vol. 78, 056202 (2008)] the trace formula for both the smooth and the oscillating parts of the resonance density was proposed and checked for the circular cavity. The present paper deals with numerous shapes which would be integrable (square, rectangle, and ellipse), pseudo-integrable (pentagon) and chaotic (stadium), if the cavities were closed (billiard case). A good agreement is found between the theoretical predictions, the numerical simulations, and experiments based on organic micro-lasers.

  • 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 2. Laboratoire de Photonique Quantique et Moléculaire (LPQM),
    CNRS : UMR8537 – École normale supérieure de Cachan - ENS Cachan
  • 3. Institut fur Theoretische Physik,
    University of Heidelberg
  • 4. Laboratoire de photonique et de nanostructures (LPN),
    CNRS : UPR20