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拓扑视角下的光学涡环

Optical toroidal vortices under topological perspective

  • 摘要: 涡旋环是一种广泛存在于流体和气体中的可传播环形结构,其与拓扑学中的纽结理论密切相关。近年来,随着光场调控技术的发展,时空光场在时间和空间维度的紧密联系为研究光学拓扑结构提供了良好的平台。文章将回顾近期关于光学涡环的系列研究,介绍光学涡环产生过程中的物理机制;并分别从拓扑和结构光两个视角出发,详细讨论由光学涡环延伸出的光学相位拓扑结构,包括标量光学霍普夫子及光学相位莫比乌斯环。

     

    Abstract: Toroidal vortices are propagating ring-shaped structures that exist widely in fluids and gases that are closely related to the knot theory in topology. In recent years, with the development of modern beam shaping techniques, spatiotemporal light field with entangled spatial and temporal dimensions provides a unique platform for the study of optical topological structures. In this article, a series of recent studies on optical toroidal vortices are reviewed, and the physical mechanisms of generating the optical toroidal vortices are introduced. Optical phase topologies further extended from optical toroidal vortices, including scalar optical hopfions and optical phase Möbius strips, are discussed in details from the perspectives of topology and structured light respectively.

     

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