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

被引：44

作者：

Bogomolny, E. ^{[1
,2
]}

Djellali, N. ^{[3
]}

Dubertrand, R. ^{[4
]}

Gozhyk, I. ^{[3
]}

Lebental, M. ^{[3
]}

Schmit, C. ^{[1
,2
]}

Ulysse, C. ^{[5
]}

Zyss, J. ^{[3
]}

机构：

[1] Univ Paris Sud, Lab Phys Theor & Modeles Stat, F-91405 Orsay, France

[2] CNRS, UMR 8626, F-91405 Orsay, France

[3] Ecole Normale Super, CNRS, UMR 8537, La Photon Quant & Mol, F-94235 Cachan, France

[4] Heidelberg Univ, Inst Theoret Phys, D-69120 Heidelberg, Germany

[5] CNRS, UPR 20, Lab Photon & Nanostruct, F-91460 Marcoussis, France

来源：

PHYSICAL REVIEW E | 2011年 / 83卷 / 03期

关键词：

RESONANCES; SCATTERING; PHASE;

D O I：

10.1103/PhysRevE.83.036208

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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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