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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 10, Iss. 16 — Aug. 12, 2002
  • pp: 752–776

Gaussian-optical approach to stable periodic orbit resonances of partially chaotic dielectric micro-cavities

H. E. Tureci, H. G. L. Schwefel, A. Douglas Stone, and E. E. Narimanov  »View Author Affiliations


Optics Express, Vol. 10, Issue 16, pp. 752-776 (2002)
http://dx.doi.org/10.1364/OE.10.000752


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Abstract

The quasi-bound modes localized on stable periodic ray orbits of dielectric micro-cavities are constructed in the short-wavelength limit using the parabolic equation method. These modes are shown to coexist with irregularly spaced “chaotic” modes for the generic case. The wavevector quantization rule for the quasi-bound modes is derived and given a simple physical interpretation in terms of Fresnel reflection; quasi-bound modes are explictly constructed and compared to numerical results. The effect of discrete symmetries of the resonator is analyzed and shown to give rise to quasi-degenerate multiplets; the average splitting of these multiplets is calculated by methods from quantum chaos theory.

© 2002 Optical Society of America

OCIS Codes
(080.2720) Geometric optics : Mathematical methods (general)
(140.3410) Lasers and laser optics : Laser resonators
(140.4780) Lasers and laser optics : Optical resonators

ToC Category:
Focus Issue: Rays in wave theory

History
Original Manuscript: June 26, 2002
Revised Manuscript: July 10, 2002
Published: August 12, 2002

Citation
Hakan Tureci, H. Schwefel, A. Stone, and E. Narimanov, "Gaussian-optical approach to stable periodic orbit resonances of partially chaotic dielectric micro-cavities," Opt. Express 10, 752-776 (2002)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-10-16-752


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