拓扑弯曲空间上测地光子耦合与微腔的非厄米例外点
Geodesic photon coupling and non-Hermitian exceptional point of microcavities on topologically curved space
摘要：
支持回音壁模式的非对称微腔在片上光学信息处理中具有重要意义。我们在拓扑曲面上定义了非对称微腔，其中测地线光轨迹完全重建了腔模特征。空间曲率可以使平板腔中有耗混沌模和岛模的品质因数提高约200倍。当空间曲率使它们共振时，非常不同来源的模式之间发生强耦合和弱耦合，导致腔光子能量和寿命的精细定制。最后，我们证明了通过改变总损耗，可以清楚地观察到一个例外点，在该点处，腔光子能量和寿命都变得简并。我们的工作是在光学混沌动力学、非厄米物理学和测地线光学器件的交叉点上进行的，将为测地线微腔光子学开辟新的领域。
英文摘要：
Asymmetric microcavities supporting Whispering-gallery modes (WGMs) are of great significance for on-chip optical information processing. We define asymmetric microcavities on topologically curved surfaces, where the geodesic light trajectories completely reconstruct the cavity mode features. The quality factors of the lossy chaotic and island modes in flat cavities can be increased by up to ~200 times by the space curvature. Strong and weak coupling between modes of very different origins occur when the space curvature brings them into resonance, leading to a fine tailoring of the cavity photon energy and lifetime. Finally, we prove that by varying the overall loss, an exceptional point can be clearly observed at which both the cavity photon energy and lifetime become degenerate. Our work is at the crosspoint of optical chaotic dynamics, non-Hermitian physics and geodesic optical devices, and would open the novel area of geodesic microcavity photonics.
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