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光学涡旋链和纽结的精确快速测量。

Accurate and rapid measurement of optical vortex links and knots.

作者信息

Zhong Jinzhan, Qi Shuxia, Liu Sheng, Li Peng, Wei Bingyan, Guo Xuyue, Cheng Huachao, Zhao Jianlin

出版信息

Opt Lett. 2019 Aug 1;44(15):3849-3852. doi: 10.1364/OL.44.003849.

DOI:10.1364/OL.44.003849
PMID:31368984
Abstract

Optical vortices can evolve in light fields, of which the singularity evolution forms dark lines with complex topological structures, knotted or linked. We propose a method to more accurately and rapidly measure the topology of optical vortex fields. To accurately locate the phase singular points, phase measurement based on digital holography and, further, a numerical search algorithm, are utilized. A motor-driven right-angle prism enables the implementation of a single exposure of hologram for each measurement along the propagation direction, greatly improving the measurement speed. The three-dimensional (3D) spatial distributions of several typical vortex links and knots are experimentally reconstructed. The proposed method is expected to rapidly observe the 3D evolution of other complicated, or even vector, fields.

摘要

光学涡旋可在光场中演化,其奇点演化会形成具有复杂拓扑结构的暗线,这些暗线会打结或相互连接。我们提出了一种能更准确、快速地测量光学涡旋场拓扑结构的方法。为了精确地定位相位奇点,我们利用了基于数字全息术的相位测量以及进一步的数值搜索算法。一个电机驱动的直角棱镜能够沿着传播方向对每次测量实现全息图的单次曝光,极大地提高了测量速度。通过实验重建了几种典型涡旋链接和纽结的三维(3D)空间分布。预计所提出的方法能够快速观测其他复杂甚至矢量场的3D演化。

相似文献

1
Accurate and rapid measurement of optical vortex links and knots.光学涡旋链和纽结的精确快速测量。
Opt Lett. 2019 Aug 1;44(15):3849-3852. doi: 10.1364/OL.44.003849.
2
Observation of optical vortex knots and links associated with topological charge.与拓扑电荷相关的光学涡旋纽结和链环的观测。
Opt Express. 2021 Nov 8;29(23):38849-38857. doi: 10.1364/OE.441263.
3
Poincaré sphere analogue for optical vortex knots.光学涡旋纽结的庞加莱球类比
Opt Lett. 2022 Jan 15;47(2):313-316. doi: 10.1364/OL.448783.
4
Review: knots and other new topological effects in liquid crystals and colloids.综述:液晶和胶体中的纽结及其他新拓扑效应
Rep Prog Phys. 2020 Oct;83(10):106601. doi: 10.1088/1361-6633/abaa39.
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Topological Vortex and Knotted Dissipative Optical 3D Solitons Generated by 2D Vortex Solitons.二维涡旋孤子产生的拓扑涡旋与纽结耗散光学三维孤子
Phys Rev Lett. 2017 Dec 29;119(26):263901. doi: 10.1103/PhysRevLett.119.263901. Epub 2017 Dec 28.
6
Generation and characterization of a perfect vortex beam with a large topological charge through a digital micromirror device.通过数字微镜器件产生具有大拓扑电荷数的完美涡旋光束并进行表征。
Appl Opt. 2015 Sep 20;54(27):8030-5. doi: 10.1364/AO.54.008030.
7
Helicity conservation by flow across scales in reconnecting vortex links and knots.流动在重联涡旋线和纽结中跨尺度保持螺旋度守恒。
Proc Natl Acad Sci U S A. 2014 Oct 28;111(43):15350-5. doi: 10.1073/pnas.1407232111. Epub 2014 Oct 17.
8
Real-time phase measurement of optical vortices based on pixelated micropolarizer array.基于像素化微偏振器阵列的光学涡旋实时相位测量
Opt Express. 2015 Aug 10;23(16):20521-8. doi: 10.1364/OE.23.020521.
9
Entangled optical vortex links.纠缠光学涡旋链路。
Phys Rev Lett. 2011 Mar 11;106(10):100407. doi: 10.1103/PhysRevLett.106.100407.
10
Vortex knots in tangled quantum eigenfunctions.缠结量子本征函数中的旋涡结。
Nat Commun. 2016 Jul 29;7:12346. doi: 10.1038/ncomms12346.

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2
Creation of acoustic vortex knots.声涡结的产生。
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