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Trace formula for dielectric cavities. II. Regular, pseudointegrable, and chaotic examples

E. Bogomolny1,2, N. Djellali3, R. Dubertrand4, I. Gozhyk3, M. Lebental3, C. Schmit1,2, C. Ulysse5, and J. Zyss3

  • 1Univ. Paris-Sud, Laboratoire de Physique Théorique et Modèles Statistiques, F-91405 Orsay, France
  • 2CNRS, UMR 8626, F-91405 Orsay, France
  • 3Ecole Normale Supérieure de Cachan, CNRS, UMR 8537, Laboratoire de Photonique Quantique et Moléculaire, F-94235 Cachan, France,
  • 4Institut für Theoretische Physik, Philosophenweg 19, D-69120 Heidelberg, Germany
  • 5CNRS, UPR 20, Laboratoire de Photonique et Nanostructures, Route de Nozay, F-91460 Marcoussis, France

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Phys. Rev. E 83, 036208 – Published 22 March, 2011

DOI: https://doi.org/10.1103/PhysRevE.83.036208

Abstract

Dielectric resonators are open systems particularly interesting due to their wide range of applications in optics and photonics. In a recent paper [Phys. Rev. E 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), pseudointegrable (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 microlasers.

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See Also

Trace formula for dielectric cavities: General properties

E. Bogomolny, R. Dubertrand, and C. Schmit
Phys. Rev. E 78, 056202 (2008)

Trace formula for dielectric cavities. III. TE modes

E. Bogomolny and R. Dubertrand
Phys. Rev. E 86, 026202 (2012)

Article Text

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Phys. Rev. E 83, 036208– Published 22 March, 2011
  • Received 29 September 2010

©2011 American Physical Society

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