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

• Published in: Physical review. E, Statistical, nonlinear, and soft matter physics Vol. 83; no. 3 Pt 2; p. 036208
• Main Authors: Bogomolny, E, Djellali, N, Dubertrand, R, Gozhyk, I, Lebental, M, Schmit, C, Ulysse, C, Zyss, J
• Format: Journal Article Web Resource
• Language: English
• Published: United States American Physical Society 01-03-2011
• Subjects: Microcavity; Physical, chemical, mathematical & earth Sciences; Physics; Physique; Physique, chimie, mathématiques & sciences de la terre; Semiclassical methods
• ISSN: 1539-3755; 1550-2376; 1550-2376
• DOI: 10.1103/PhysRevE.83.036208

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.