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    Incomplete chirality of exceptional points in asymmetric optical microcavity

    Hyundong Kim1, Youngmin Eom2,3, Hoyeon Lee2,4, Yanni Cho2,5, Seungwoo Lee2,3, Sunjae Gwak3, Hyeon-Hye Yu3, Chang-Hwan Yi6,*, and Chil-Min Kim3,†

    • 1Department of Physics, Konkuk University, Seoul 05029, Republic of Korea
    • 2School of Undergraduate Studies, DGIST, Daegu 42988, Republic of Korea
    • 3Department of Physics and Chemistry, DGIST, Daegu 42988, Republic of Korea
    • 4Department of Electrical Engineering and Computer Science, DGIST, Daegu 42988, Republic of Korea
    • 5Department of Applied Physics and Materials Science, California Institute of Technology, Pasadena, California 91125, USA
    • 6Center for Theoretical Physics of Complex Systems, IBS, Daejeon 34126, Republic of Korea

    • *Contact author: yichanghwan@ibs.re.kr
    • †Contact author: chmkim@dgist.ac.kr

    Phys. Rev. A 112, 043546 – Published 28 October, 2025

    DOI: https://doi.org/10.1103/xqpf-t9h6

    Abstract

    A chiral exceptional point (EP) in an optical microcavity emerges from the coalescence of even and odd modes with identical azimuthal modal numbers under asymmetric perturbation. While the chirality of such EPs is well understood in circular disks with asymmetrically positioned Rayleigh scatterers, it becomes more intricate in asymmetric microcavities, where the contributing modes can exhibit nontrivial wave morphology according to chaotic deformation. To explore this, we consider a stand-alone microcavity composed of one half ellipse and two quarter ellipses, for which EPs exhibit incomplete chirality. Our analysis reveals that this incomplete chirality originates from prior mode coupling. After the prior mode coupling, only the quasinormal modes within each superposed mode pair that have identical azimuthal modal numbers but opposite parities contribute to the chirality at EPs. Consequently, the chirality of the EP modes remains incomplete, depending on the relative weight of the original mode pair. Finally, we analyze the formation of EPs and their chiral properties in a generic asymmetric microcavity, providing insights into the underlying mechanisms of incomplete chirality.

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