Topological approach of characterizing optical Skyrmions and Skyrmion lattices
Topological approach of characterizing optical Skyrmions and Skyrmion lattices
复制标题
表征光学斯格明子和斯格明子晶格的拓扑方法
DOI：
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发表时间：
2022
期刊：
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通讯作者：
S. Franke
中科院分区：
文献类型：
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作者：
A. McWilliam;C. Cisowski;Z. Ye;F. Speirits;J¨org B. G¨otte;Stephen M. Bar;S. Franke;Franke;S. Barnett;S. Franke
近轴光学Skyrmion的Skyrmion数可以仅通过它们的偏振奇点和相关的缠绕数来定义，使用利用斯托克斯定理的数学推导。它表明，这个定义提供了一个强大的方法来提取Skyrmion数从实验数据中，如所示的各种光学（N\'鳗鱼型）Skyrmion和双分子，以及它们相应的晶格。这种方法不仅提高了精度，而且提供了一种直观的几何方法来理解这种光准粒子的拓扑结构，以及它们对平滑变换的鲁棒性。
The Skyrmion number of paraxial optical Skyrmions can be defined solely via their polarization singularities and associated winding numbers, using a mathematical derivation that exploits Stokes's theorem. It is demonstrated that this definition provides a robust way to extract the Skyrmion number from experimental data, as illustrated for a variety of optical (N\'eel-type) Skyrmions and bimerons, and their corresponding lattices. This method generates not only an increase in accuracy, but also provides an intuitive geometrical approach to understanding the topology of such quasi-particles of light, and their robustness against smooth transformations.