Related Experiment Video
Updated: Jun 2, 2026

Using Microwave and Macroscopic Samples of Dielectric Solids to Study the Photonic Properties of Disordered Photonic Bandgap Materials
Published on: September 26, 2014
Trace formula for dielectric cavities. II. Regular, pseudointegrable, and chaotic examples
E Bogomolny1, N Djellali, R Dubertrand
1Univ. Paris-Sud, Laboratoire de Physique Théorique et Modèles Statistiques, F-91405 Orsay, France.
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.
Related Concept Videos
Electrostatic Boundary Conditions in Dielectrics
Consider a case where both the mediums across a boundary are two different dielectric materials. Recall that the electric field and electric displacement are proportional and related through the material's permittivity.
Gauss's Law in Dielectrics
Susceptibility, Permittivity and Dielectric Constant
Standing Waves in a Cavity
Dielectric Polarization in a Capacitor
Traveling Waves: Lossless Lines

