Measuring the topological charge of vortex beams with three-slit interference

Abstract

Abstract: The distribution of interference fringes in the interference field of vortex beams after three slit interference is studied, and the effect of topological charge number on the fringe distribution is discussed on the different conditions with topological charge number of integer and fraction. It is shown that unlike the plane wave, the fringes of the vortex beam move along the lateral direction after three-slit interference, and the magnitude and direction of lateral displacement of the fringes are related to the value of topological charge.

Key words: vortex beams, topological charge, three-slit interference, fringes

CLC Number:

O436.1

XU Quan-xue, ZHENG Si-min, YUAN Cai-fu, WANG Tao. Measuring the topological charge of vortex beams with three-slit interference[J]. Journal of Lanzhou University of Technology, 2022, 48(4): 168-172.

References

[1] ALLEN L,BEIJERSBERGEN M W,SPREEUW R J C.Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes [J].Physical Review A,1992,45:8185.
[2] LEACH J,PADGETT M J,BARNETT S M.Measuring the orbital angular momentum of a single photon [J].Physical Review Letters,2002,88:257901.
[3] CURTIS J E,KOSS B A,GRIER D G.Dynamic holographic optical tweezers [J].Optics Communications,2002,207:169-175.
[4] YANG Y,DONG Y,ZHAO C.Generation and propagation of an anomalous vortex beam [J].Optics Letters,2013,38:5418-5421.
[5] YANG Y,DONG Y,ZHAO C.Autocorrelation properties of fully coherent beam with and without orbital angular momentum [J].Optics Express,2014,22:2925-2932.
[6] SZTUL H I,ALFANO R R.Double-slit interference with Laguerre-Gaussian beams [J].Optics Letters,2006,31:999-1001.
[7] LEACH J,COURTIAL J,SKELDON K.Interferometric methods to measure orbital and spin,or the total angular momentum of a single photon [J].Physical Review Letters,2004,92:013601.
[8] LEACH J,PADGETT M J,BARNETT S M.Measuring the orbital angular momentum of a single photon [J].Physical Review Letters,2002,88:257901.
[9] 陈子阳,张国文,饶连周.杨氏双缝干涉实验测量涡旋光束的轨道角动量 [J].中国激光,2008,35:1063-1067.
[10] 廖坤山,陈子阳,蒲继雄.利用杨氏双缝干涉实验检测涡旋光束的拓扑荷数 [J].华侨大学学报(自然科学版),2009,30:623-627.
[11] 刘曼,陈小艺,李海霞,等.利用干涉光场的相位涡旋测量拉盖尔-高斯光束的轨道角动量 [J].物理学报,2010,59:8490-8498.
[12] YANG Y,MAZILU M,DHOLAKIA K.Measuring the orbital angular momentum of partially coherent optical vortices through singularities in their cross-spectral density functions [J].Optics Letters,2012,37:4949-4951.
[13] BEHZAD K,GALVEZ E J.Determining topological charge of an optical beam using a wedged optical flat [J].Optics Letters,2017,42:1516-1519.
[14] NARAG J P C,HERMOSA N.Probinghigher orbital angular momentum of Laguerre-Gaussian beams via diffraction through a translated single slit [J].Physical Review Applied,2019,11:054025.
[15] 方亮,俱沛,甘雪涛,等.分光棱镜干涉法测量涡旋光束拓扑荷 [J].大学物理,2019,38(2):28-32.
[16] 任斐斐,梁言生,蔡亚楠,等.完美涡旋光拓扑荷的原位测定 [J].光子学报,2019,48(7):147-153.
[17] 余丽芳,黎芳.异常涡旋光束的拓扑荷的测量 [J].激光与红外,2020,50(10):1258-1261.
[18] BORN M,WOLF E.Principles of optics [M].Cambridge:Cambridge University Press,1999.
[19] SZTUL H I,ALFANO R R.Double-slit interference with Laguerre-Gaussian beams [J].Optics Letters,2006,31:999-1001.
[20] 王涛,蒲继雄.涡旋光束单缝衍射的理论和实验研究 [J].中国激光,2009,36(11):2902-2907.
[21] 王柯俭,张大成,杨云霄,等.飞秒涡旋光拓扑荷数的检测方法研究 [J].光子学报,2021,50(10):1026001.
[22] 崔粲.涡旋光束的衍射与散斑特性的研究 [D].北京:北京交通大学,2021.
[23] LI X,TAI Y,LU F.Measuring the fractional topological charge of LG beams by using interference intensity analysis [J].Optics Communications,2015,334:235-239.
[24] VAITY P,BANERJI J,SINGH R P.Measuring the topological charge of an optical vortex by using a tilted convex lens [J].Physics Letters A,2013,377:1154-1156.
[25] HAN Y,ZHAO G.Measuring the topological charge of optical vortices with an axicon [J].Optics Letters,2011,36:2017-2019.
[26] 何贤飞.涡旋光束的拓扑数检测方法研究及转换设计 [D].广州:广东工业大学,2015.