数字全息术测定涡旋光束拓扑电荷数

王林; 袁操今; 聂守平; 李重光; 张慧力; 赵应春; 张秀英; 冯少彤

doi:10.7498/aps.63.244202

摘要

提出了一种基于数字全息技术测定涡旋光束拓扑电荷数的方法. 该方法通过数字全息技术获取涡旋光束和参考光的全息图并重构出涡旋光束的波前相位, 判定相位围绕相位奇点的周期性分布来测定涡旋光束的拓扑电荷数. 在拓扑电荷数取值分别为整数和分数的情况下, 通过对数值模拟和实验结果的比较, 表明该方法能够较准确地测定出拓扑电荷数.

关键词:

In this paper we propose a method to detect the topology charge of vortex beam using digital holography. Hologram of vortex beam interference with reference beam is recorded, and the phase of vortex beam is reconstructed. The topology charge can be accurately determined by judging the periodicity of reconstructed phase distribution around the phase singularity. The phases of vortex beams generated by numerical simulation and those obtained by experiment of vortex beams with integral and fractional topology charges are compared with each other. The feasibility of the method of detecting the topology charge of vortex beam using digital holography is proved by comparing the results.

Keywords:

作者及机构信息

1.
南京师范大学, 江苏省光电技术重点实验室, 南京 210023;

2.
昆明理工大学激光研究所, 昆明 650051

基金项目: 国家自然科学基金(批准号: 61377003, 11104120)、南京师范大学高层次人才科研启动项目(批准号: 184080H20162)、江苏省高校自然科学研究重大项目(批准号: 14KJA140001)和南京师范大学青年领军人才培养项目(批准号: 184080H20178)资助的课题.

Authors and contacts

1.
Key Laboratory for Opto-Electronic Technology of Jiangsu Province, Nanjing Normal University, Nanjing 210023, China;

2.
Laser Research Institute, Kunming University of Science and Technology, Kunming 650051, China

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61377003, 11104120), the Scientific Research Foundation for Advanced Talents, Nanjing Normal University, China (Grant No. 184080H20162), the Major Natural Science Research Project of University of Jiangsu Province, China (Grant No. 14KJA140001), and the Training Programme Foundation for Youth Leader Talents of Nanjing Normal University, China (Grant No. 184080H20178).

参考文献

[1]	Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185
[2]	Allen L, Babiker M, Lai W K, Lembessis V E 1996 Phys. Rev. A 54 4259
[3]	Yang Y, Dong Y, Zhao C, Cai Y 2013 Opt. Lett. 38 5418
[4]	Chen M, Mazilu M, Arita Y, Wright E M, Dholakia K 2013 Opt. Lett. 38 4919
[5]	Leach J, Padgett M J, Barnett S M, Arnold S F, Courtial J 2002 Phys. Rev. Lett. 88 257901
[6]	Berkhout G C G, Beijersbergen M W 2009 J. Opt. A: Pure Appl. Opt. 11 094021
[7]	Liu R F, Long J L, Wang F R, Wang Y L, Zhang P, Gao H, Li F L 2013 J. Opt. 15 125712
[8]	Saitoh K, Hasegawa Y, Hirakawa K, Tanaka N, Uchida M 2013 Phys. Rev. Lett. 111 074801
[9]	Liu M 2013 Eur. Phys. J. D 67 244
[10]	Fang G J, Sun S H, Pu J X 2012 Acta Phys. Sin. 61 064210 (in Chinese) [方桂娟, 孙顺红, 蒲继雄 2012 物理学报 61 064210]
[11]	Ding P F, Pu J X 2011 Acta Phys. Sin. 60 094204 (in Chinese) [丁攀峰, 蒲继雄 2011 物理学报 60 094204]
[12]	Goodman J W (translated by Qin K C) 2005 Introduction to Fourier Optics (Beijing: Publishing House of Electronics Industry) p227 (in Chinese) [古德曼J W著 (秦克诚译) 2005 傅里叶光学导论 (北京: 电子工业出版社) 第227页]
[13]	Ding P F, Pu J X 2012 Acta Phys. Sin. 61 064103 (in Chinese) [丁攀峰, 蒲继雄 2012 物理学报 61 064103]
[14]	Martinez-Castellanos I, Gutiérrez-Vega J C 2013 J. Opt. Soc. Am. A 30 2395
[15]	Basistiy I V, Pas'ko V A, Slyusar V V, Soskin M S, Vasnetsov M V 2004 J. Opt. A: Pure Appl. Opt. 6 S166

施引文献

[1]	Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185
[2]	Allen L, Babiker M, Lai W K, Lembessis V E 1996 Phys. Rev. A 54 4259
[3]	Yang Y, Dong Y, Zhao C, Cai Y 2013 Opt. Lett. 38 5418
[4]	Chen M, Mazilu M, Arita Y, Wright E M, Dholakia K 2013 Opt. Lett. 38 4919
[5]	Leach J, Padgett M J, Barnett S M, Arnold S F, Courtial J 2002 Phys. Rev. Lett. 88 257901
[6]	Berkhout G C G, Beijersbergen M W 2009 J. Opt. A: Pure Appl. Opt. 11 094021
[7]	Liu R F, Long J L, Wang F R, Wang Y L, Zhang P, Gao H, Li F L 2013 J. Opt. 15 125712
[8]	Saitoh K, Hasegawa Y, Hirakawa K, Tanaka N, Uchida M 2013 Phys. Rev. Lett. 111 074801
[9]	Liu M 2013 Eur. Phys. J. D 67 244
[10]	Fang G J, Sun S H, Pu J X 2012 Acta Phys. Sin. 61 064210 (in Chinese) [方桂娟, 孙顺红, 蒲继雄 2012 物理学报 61 064210]
[11]	Ding P F, Pu J X 2011 Acta Phys. Sin. 60 094204 (in Chinese) [丁攀峰, 蒲继雄 2011 物理学报 60 094204]
[12]	Goodman J W (translated by Qin K C) 2005 Introduction to Fourier Optics (Beijing: Publishing House of Electronics Industry) p227 (in Chinese) [古德曼J W著 (秦克诚译) 2005 傅里叶光学导论 (北京: 电子工业出版社) 第227页]
[13]	Ding P F, Pu J X 2012 Acta Phys. Sin. 61 064103 (in Chinese) [丁攀峰, 蒲继雄 2012 物理学报 61 064103]
[14]	Martinez-Castellanos I, Gutiérrez-Vega J C 2013 J. Opt. Soc. Am. A 30 2395
[15]	Basistiy I V, Pas'ko V A, Slyusar V V, Soskin M S, Vasnetsov M V 2004 J. Opt. A: Pure Appl. Opt. 6 S166

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板