Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples
Optics
2013-05-29 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
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.
Cite
@article{arxiv.1009.5591,
title = {Trace formula for dielectric cavities II: Regular, pseudo-integrable, and chaotic examples},
author = {E. Bogomolny and N. Djellali and R. Dubertrand and I. Gozhyk and M. Lebental and C. Schmit and C. Ulysse and J. Zyss},
journal= {arXiv preprint arXiv:1009.5591},
year = {2013}
}
Comments
18 pages, 32 figures