论文标题
在弯曲空间中窃窃私语模式的射线动力学
Ray dynamics of whispering-gallery modes in curved space
论文作者
论文摘要
支持窃窃私语模式（WGM）的微腔对于芯片光学信息处理具有重要意义，这通常是使用射线动力学经常分析的，这些射线动态通常涉及平坦空间中的直轨轨迹。我们开发了一种新型的射线动力学数学模型，该模型允许在弯曲表面上定义的WGM微腔中的光子运动，该光子由弯曲表面定义，该光子由弯曲或扭曲的光轨迹组成，遵循该空间的地球线。我们表明，所产生的射线动力学与平坦的微腔中的射线动力学不同，并且根据是否可以将弯曲表面展开为平坦。我们的方法表明，在弯曲空间中重新定义了WGM对称性，并提供了一种通用工具，用于分析包含具有边界弯曲结构的三维光子电路。
Microcavities supporting Whispering-gallery modes (WGMs) are of great significance for on-chip optical information processing, which is frequently analyzed using ray dynamics that conventionally involves straight light trajectories in flat space. We develop a novel mathematical model of ray dynamics that allows investigating photon movement in WGM-microcavities defined on curved surfaces, which consists of curved or twisted light trajectories following the geodesic lines of the space. We show that the resulting ray dynamics differs dramatically from those in flat microcavities, and in various manners depending on whether the curved surface can be unfolded to flat. Our methods suggest a redefinition of the WGM symmetry in curved space and provides a universal tool for analyzing three-dimensional (3D) photonic circuits containing curved structures with boundaries.
