Chaotic light: a theory of asymmetric resonant cavities

dc.creatorNockel, Jens U.
dc.creatorStone, A. D.
dc.date2002-03-21
dc.date.accessioned2026-07-07T05:47:13Z
dc.date.available2026-07-07T05:47:13Z
dc.descriptionSpherical and cylindrical dielectric cavities support high Q whispering gallery modes due to total internal reflection of the trapped light. When such a cavity is deformed smoothly the ray dynamics of these modes becomes chaotic in a manner determined by the KAM theory of classical hamiltonian dynamics. The universal properties of the ray dynamics predicted by KAM theory allow a general understanding of the whispering gallery modes of such asymmetric resonant cavities (ARCs). This theory combined with simulations of the non-linear map describing the ray motion provides the basis for a ray-optics model of the Q-spoiling of these whispering gallery modes for large deformations (greater than 1% of the radius). The model predicts a sharp onset as a function of deformation for significant Q-spoiling of these modes and highly directional emission above this threshold. Solution of the wave equation for typical whispering gallery modes confirms the qualitative behavior predicted by the ray-optics model even when the cavity is only a few times the resonant wavelength. The model explains for the first time the lasing intensity profile of highly deformed lasing droplets.
dc.descriptionThis should have been archived long ago
dc.identifierhttps://arxiv.org/abs/physics/0203063
dc.identifierhttp://arxiv.org/abs/physics/0203063
dc.identifierOptical Processes in Microcavities, edited by R.K.Chang and A.J.Campillo (World Scientific Publishers, 1996)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/84625
dc.subjectOptics
dc.subjectClassical Physics
dc.titleChaotic light: a theory of asymmetric resonant cavities
dc.typetext

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