A Gaussian-optical Approach to Stable Periodic Orbit Resonances of Partially Chaotic Dielectric Micro-cavities

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.

20 pages, 8 figures, 2 tables, revtex4, submitted to Optics Express

References in corpus (5)

• Observation of Scarred Modes in Asymmetrically Deformed Microcylinder Lasers
• Hexagonal microlasers based on organic dyes in nanoporous crystals
• Fresnel filtering in lasing emission from scarred modes of wave-chaotic optical resonators
• Deviation from Snell's Law for Beams Transmitted Near the Critical Angle: Application to Microcavity Lasers
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