基于倾斜透镜将拉盖尔-高斯光束阵列转换为厄米-高斯光束阵列的位置映射关系  

Position Mapping Relationship for Converting Laguerre-Gaussian Beam Array into Hermite-Gaussian Beam Array Based on a Tilted Lens

作　　者：熊光昀 唐奥 兰斌 沈锋 Xiong Guangyun;Tang Ao;Lan Bin;Shen Feng(Key Laboratory on Adaptive Optics,Chinese Academy of Sciences,Chengdu 610209,Sichuan,China;Institute of Optics and Electronics,Chinese Academy of Sciences,Chengdu 610209,Sichuan,China;University of Chinese Academy of Sciences,Beijing 100049,China)

机构地区：[1]中国科学院大学自适应光学重点实验室,四川成都610209 [2]中国科学院光电技术研究所,四川成都610209 [3]中国科学院大学,北京100049

出　　处：《激光与光电子学进展》2024年第5期215-222,共8页Laser & Optoelectronics Progress

基　　金：中国科学院光电技术研究所前沿部署资助项目(C21K006);装备预研重点实验室基金项目(6142A04190212)。

摘　　要：倾斜透镜可以将拉盖尔-高斯光束转换为厄米-高斯光束。因此,推导了基于倾斜透镜的拉盖尔-高斯光束阵列与厄米-高斯光束阵列相互转换的位置映射关系。当倾斜透镜绕任意轴旋转一定角度时,两光束阵列的位置将会关于该轴对称。实验中,利用空间光调制器生成了1×1、2×2、3×3、3×1、1×3的拉盖尔-高斯光束阵列,并用倾斜透镜将其转换为厄米-高斯光束阵列,通过对比两光束阵列的光场分布,验证了上述理论分析结果。实验结果与理论分析完全一致。该工作为拉盖尔-高斯光束阵列的轨道角动量测量提供了更明确的理论指导。A Laguerre-Gaussian beam can be converted into a Hermite-Gaussian beam using a tilted lens.In this work,a position mapping relationship was derived between the incident Laguerre-Gaussian beam array and the Hermite-Gaussian beam array converted by the tilted lens.When the tilted lens is rotated around an arbitrary axis by a certain angle,the positions of the two beam arrays will be symmetrical about that axis.In the experiments,Laguerre-Gaussian beam arrays of 1×1,2×2,3×3,3×1,and 1×3 were generated using a spatial light modulator and converted into Hermite-Gaussian beam arrays via a tilted lens,and the above theoretical analysis was verified through comparison of the distributions of the two beam arrays.The experimental results are in perfect agreement with the theoretical analysis.Based on the theoretical results and the position distribution of the Hermite-Gaussian beam array,the topological charge of the Laguerre-Gaussian beam array can be detected.This work provides clearer theoretical guidance for the orbital angular momentum detection of Laguerre-Gaussian beam arrays.

关 键 词：拉盖尔-高斯光束阵列 轨道角动量测量 倾斜透镜 位置映射关系 厄米-高斯光束阵列 

分 类 号：O436[机械工程—光学工程]