Generation of high-order and fractional vortex beams using gratings simulated by spatial light modulators

YANG Qihang; LI Pan; YANG Han; WANG Runbing; XING Haoru; XU Fei; QI Yihong

doi:10.37188/OPE.20233119.2809

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Generation of high-order and fractional vortex beams using gratings simulated by spatial light modulators

Modern Applied Optics | 更新时间：2023-10-12

- Generation of high-order and fractional vortex beams using gratings simulated by spatial light modulators
- Optics and Precision Engineering Vol. 31, Issue 19, Pages: 2809-2817(2023)
- 作者机构：
  
  华东理工大学物理学院，上海 200237
- 作者简介：
- 基金信息：
- DOI：10.37188/OPE.20233119.2809
  CLC： O43
- Received：28 April 2023，
  
  Revised：22 May 2023，
  
  Published：10 October 2023
- 稿件说明：
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杨启航,李盼,杨焓等.空间光调制器模拟光栅产生高阶和分数阶涡旋光束[J].光学精密工程,2023,31(19):2809-2817.

YANG Qihang,LI Pan,YANG Han,et al.Generation of high-order and fractional vortex beams using gratings simulated by spatial light modulators[J].Optics and Precision Engineering,2023,31(19):2809-2817.
杨启航,李盼,杨焓等.空间光调制器模拟光栅产生高阶和分数阶涡旋光束[J].光学精密工程,2023,31(19):2809-2817. DOI： 10.37188/OPE.20233119.2809.

YANG Qihang,LI Pan,YANG Han,et al.Generation of high-order and fractional vortex beams using gratings simulated by spatial light modulators[J].Optics and Precision Engineering,2023,31(19):2809-2817. DOI： 10.37188/OPE.20233119.2809.

摘要

用空间光调制器模拟叉形光栅的方式产生高阶和分数阶涡旋光束，分离各阶涡旋光束并探究单级特性，探测其拓扑荷数以验证实验方法的正确性。设计了涡旋光束生成光路，编写了产生叉形光栅全息图的计算机程序，利用透射式空间光调制器模拟叉形光栅，以全息图的方式加载到空间光调制器上。调节参数改变全息光栅图样，得到拓扑荷数从1.0到100.0的整数阶与间隔为0.1的分数阶涡旋光束。利用孔径光阑分离出一级衍射，分析其特性并利用干涉法测量其拓扑荷数。实验发现，整数与分数阶光场分布与拓扑荷数为单调关系，拓扑荷数接近100时光束质量显著下降的特性，利用干涉法测得的拓扑荷数与计算全息图设置的参数完全相同。干涉测量结果验证了计算全息方法的正确性。该方法装置简易、参数可调，可为高阶和分数阶涡旋光的产生和应用提供一定的参考。

Abstract

To generate high-order and fractional-order vortex beams， a spatial light modulator was used to simulate a forked grating. This was performed to generate and isolate the desired vortex beams with the different orbital angular momentum (OAM) of l

and investigated their characteristics. Measurement of their topological charges via the interference method validated the availability and the accuracy of the experimental method. An optical path for vortex beam generation was designed， and a computer program was developed to create a forked grating hologram. This grating was simulated using a transmissive spatial light modulator and uploaded on the modulator as a hologram. By adjusting the parameters， the holographic grating pattern could be modified to produce integer-order vortex beams with topological charges ranging from 1.00 to 100.0. In addition， fractional-order vortex beams were generated at intervals of 0.1. The first order diffraction was isolated using an aperture diaphragm. Subsequently， its characteristics were analyzed， and its topological charge was measured via interferometry. A consistent relationship was observed between the distributions of integer- and fractional-order light fields and their respective topological charge numbers. Notably， as the topological charge number neared 100， a marked reduction was observed in the beam quality. The topological charge number， determined via interferometry， matched the parameters set in the computer-generated hologram， validating the computer-generated holography method's accuracy. Given its straightforward setup and adjustable parameters， this method could serve as a reference for the creation and application of high-order and fractional-order vortex light.

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