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Separatrix modes in weakly deformed microdisk cavities.

Chang-Hwan Yi, Julius Kullig, Ji-Won Lee

    Optics Express
    |April 7, 2017
    PubMed
    Summary
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    We discovered a new mechanism for optical mode localization in deformed microdisk cavities. Modes localize near unstable periodic orbits when island chains in phase space expand with increasing deformation.

    Area of Science:

    • Optics and Photonics
    • Cavity Quantum Electrodynamics
    • Nonlinear Dynamics

    Background:

    • Optical modes in deformed dielectric microdisk cavities exhibit localization along unstable periodic ray orbits.
    • Understanding this phenomenon is crucial for designing advanced optical devices.

    Purpose of the Study:

    • To reveal a new mechanism for optical mode localization in weakly deformed microdisk cavities.
    • To establish a frequency condition for this localization phenomenon.

    Main Methods:

    • Analysis of nearly integrable ray dynamics in phase space.
    • Application of the EBK (Einstein-Brillouin-Keller) quantization scheme with Fresnel coefficients.
    • Observation of far-field intensity patterns and tunneling distances.

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    Main Results:

    • Identified a mechanism where enlarging phase space island chains incorporate more modes as deformation increases.
    • Demonstrated that modes near separatrix borders strongly localize near unstable periodic orbits.
    • Derived a frequency condition governing this mode localization.

    Conclusions:

    • Weakly deformed microdisk cavities exhibit a novel mode localization mechanism.
    • The derived frequency condition provides a predictive tool for mode localization.
    • Emission properties show subtle differences related to tunneling distances and far-field patterns.