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In the generic chaotic transition of Hamiltonian systems, partial barriers can
be defined by complex phase-space structures evolved from dynamical
invariants.
In this work, we study the effect of partial barriers on the optical properties of deformed microcavities, such as spectrum and emission directionality. We focus on the Lima\con-shaped microcavity for which unidirectional light emission and high quality factors have been demonstrated experimentally by several groups. When we investgate the spectrum of it, sudden uprises of quality factor are observed regularly, and the emission directionality becomes worse at the same time. This phenomenon can be explained by quasi eigenmodes which are trapped by partial barriers and the structures forming the partial barrier are periodic orbits. Furthermore, through the flux Farey tree we achieve a comprehensive understanding about the quantization of partial barriers and the emission mechanism of this kind of eigenmodes. |
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