论文标题
3D光场中的隐藏奇异性
Hidden singularities in 3D optical fields
论文作者
论文摘要
在本文中，我们表明，在三维（3D）光场中可能存在两种类型的隐藏奇点，一个是旋转密度（SD）相奇异性，另一个是SD矢量奇异性，这都是3D字段所独有的。讨论了这些SD奇点的性质，还研究了它们与传统光学奇异性的联系。尤其是表明，在具有纯横向自旋密度（“光子车轮”）的3D场中，这两种类型的奇异性表现出非常有趣的行为：它们彼此彼此映射到彼此不同的物理含义和不同的拓扑结构中。我们的工作为SD奇异性提供了基本理论，并可能为进一步探索3D光场提供了新的方法。
In this article we show that in a three dimensional (3D) optical field there can exist two types of hidden singularities, one is spin density (SD) phase singularity and the other is SD vector singularity, which are both unique to 3D fields. The nature of these SD singularities is discussed and their connection with traditional optical singularities is also examined. Especially it is shown that in a 3D field with purely transverse spin density (`photonic wheels'), these two types of singularities exhibit very interesting behaviors: they are exactly mapped to each other regardless of their different physical meanings and different topological structures. Our work supplies a fundamental theory for the SD singularities and may provide a new way for further exploration of 3D optical fields.
