title: 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.
authors.forename: Hakan
authors.initials: H
authors.lastname: Tureci
authors.forename: H
authors.initials: H
authors.lastname: Schwefel
authors.forename: A
authors.initials: A
authors.lastname: Stone
authors.forename: E
authors.initials: E
authors.lastname: Narimanov