高阶衍射级光束的轨道角动量

doi:10.3969/j.issn.1007-5461.2022.01.009

量子电子学报 ›› 2022, Vol. 39 ›› Issue (1): 127-135.doi: 10.3969/j.issn.1007-5461.2022.01.009

• "轨道角动量：从经典光学到量子信息”专辑 • 上一篇下一篇

高阶衍射级光束的轨道角动量

樊海豪1 , 朱刘昊 1 , 台玉萍2 , 李新忠 1,3∗

( 1 河南科技大学物理工程学院, 河南洛阳 471023; 2 河南科技大学化工与制药学院, 河南洛阳 471023; 3 中国科学院西安光学精密机械研究所瞬态光学与光子技术国家重点实验室, 陕西西安 710119 )

收稿日期:2021-09-28 修回日期:2021-11-02 出版日期:2022-01-28 发布日期:2022-01-28
通讯作者: E-mail: xzli@haust.edu.cn E-mail:E-mail: xzli@haust.edu.cn
作者简介:樊海豪 ( 1997 - ), 河南安阳人, 研究生, 主要从事光场调控方面的研究。 E-mail: fanhaihao1997@163.com
基金资助:
Supported by National Natural Science Foundation of China (国家自然科学基金, 11974102), Key Scientific Research Projects of Institutions of Higher Learning of Henan Province Education Department (河南省教育厅高等学校重点科研项目, 21zx002), State Key Laboratory of Transient Optics and Photonics (瞬态光学与光子学国家重点实验室, SKLST201901)

Orbital angular momentum of higher-order diffraction beams

FAN Haihao 1 , ZHU Liuhao 1 , TAI Yuping 2 , LI Xinzhong 1,3∗

( 1 School of Physics and Engineering, Henan University of Science and Technology, Luoyang 471023, China; 2 School of Chemical Engineering and Pharmaceutics, Henan University of Science and Technology, Luoyang 471023, China; 3 State Key Laboratory of Transient Optics and Photonics, Xi’an Institute of Optics and Precision Mechanics of Chinese Academy of Sciences, Xi’an 710119, China )

Received:2021-09-28 Revised:2021-11-02 Published:2022-01-28 Online:2022-01-28

摘要/Abstract

摘要： 为研究高阶衍射级光束的轨道角动量, 基于计算全息法在空间光调制器的傅里叶平面产生了不同衍射级的完美涡旋光束, 并利用球面波干涉法对其拓扑荷值进行了测量。理论和实验结果表明不同衍射级 p 上的整数阶和分数阶完美涡旋光束的拓扑荷值 l 都满足 l = mp 的关系, 其中 m 是相位掩模板的拓扑荷值。并进一步对不同衍射级的光学涡旋阵列进行了实验研究, 结果表明光学涡旋阵列中光学涡旋的拓扑荷值满足 l = p 的关系, 高阶衍射级上的衍射光束比 +1 级衍射光束具有更大的轨道角动量。该研究为光学涡旋及光学涡旋阵列进一步的研究及应用提供了理论和实验参考。

关键词: 傅里叶光学, 轨道角动量, 计算全息, 完美涡旋光束, 光学涡旋阵列

Abstract: In order to study the orbital angular momentum of higher-order diffraction beams, based on the method of computer generated holography, the perfect vortex beam with different diffraction orders is generated on the Fourier plane of space light modulator, and its topological charge is measured by spherical wave interferometry. Theoretical and experimental results show that the topological charge l of integer and fractional perfect vortex beams at different diffraction order p satisfies the relation of l = mp , where m is the topological charge of the phase mask. Furthermore, the optical vortex array with different diffraction order is also studied experimentally, the results show that the topological charge of optical vortices satisfies the relation of l = p , and the higher-order diffraction beam has greater orbital angular momentum than the diffraction beam at the +1 order. This study provides theoretical and experimental reference for further research and application of optical vortices and optical vortex arrays

Key words: Fourier optics, orbital angular momentum, computer generated holography, perfect vortex beam, optical vortex array

中图分类号:

O438.2

樊海豪, 朱刘昊, 台玉萍, 李新忠, ∗. 高阶衍射级光束的轨道角动量[J]. 量子电子学报, 2022, 39(1): 127-135.

FAN Haihao , ZHU Liuhao , TAI Yuping , LI Xinzhong , ∗. Orbital angular momentum of higher-order diffraction beams[J]. Chinese Journal of Quantum Electronics, 2022, 39(1): 127-135.

参考文献

[1] Allen L, Beijersbergen M W, Spreeuw R J C, et al. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes [J]. Physical Review A 1992, 45(11): 8185–8189
[2] Li Mao, Gao Wenyu, Ma Xin, et al. Study on optical manipulation of yeast cells by vortex beam [J]. Laser Journal, 2019, 40(12): 35-38(in Chinese)
李懋,高文禹,马鑫, 等. 涡旋光束对酵母菌细胞光操纵特性研究 [J].激光杂志,2019, 40(12): 35-38.
[3] Long Z X, Zhang H, Tai Y P, et al. Optical vortex array with deformable hybrid Ferris structures [J]. Optics & Laser Technology, 2022, 145: 107524.
[4] Li X Z, Ma H X, Zhang H, et al. Is it possible to enlarge the trapping range of optical tweezers via a single beam? [J]. Applied Physics Letters, 2019, 114(8): 081903.
[5] Liang Yansheng, Yao BaoLi, Lei Ming, et al. Optical micro-manipulation based on spatial modulation of optical fields [J]. Acta Optica Sinica 2016, 36(10):1026003(in Chinese).
梁言生, 姚保利, 雷铭, 等. 基于空间光场调控技术的光学微操纵 [J]. 光学学报, 2016, 36(10):1026003.
[6] Wang J, Yang J Y, Fazal I M, et al. Terabit free-space data transmission employing orbital angular momentum multiplexing [J]. Nature Photonics, 2012, 6(7): 488–496.
[7] Lavery M P, Speirits F C, Barnett S M, et al. Detection of a spinning object using light's orbital angular momentum [J]. Science, 2013, 341(6145): 537-540.
[8] Yu W T, Ji Z H, Dong D S, et al. Super-resolution deep imaging with hollow Bessel beam STED microscopy [J]. Laser & Photonics Reviews, 2016, 10(1): 147-152.
[9] Beijersbergen M W, Allen L, Vanderveen H, et al. Astigmatic Laser Mode Converters and Transfer of Orbital Angular-Momentum [J]. Optics Communications, 1993, 96(1):123-132.
[10] Beijersbergen MW, Coerwinkel RPC, Kristensen M, et al. Helical-wavefront laser beams produced with a spiral phase plate [J]. Optics Communications, 1994, 112(5):321–327.
[11] Heckenberg N R, McDuff R, Smith C, et al. Generation of optical phase singularities by computer-generated holograms [J]. Optics Letters, 1992, 17(3): 221-223.
[12] Meng Xiangjun, Zhu Yanying, Chen Zhiting, et al. Properties of Vortex Beams with Plane Beam Oblique Incidence of Fork-Shaped Grating [J]. Chinese Journal of Lasers, 2013, 40(2): 0202008(in Chinese).
孟祥君, 朱艳英, 陈志婷, 等. 平面光斜入射叉形光栅获取涡旋光束的特性 [J]. 中国激光, 2013, 40(2): 0202008
[13] Zhu Yanying, Yao Wenying, Li Yentao , et al. Experiment of vertex beam generated by method of computer generated holography [J]. Infrared and Laser Engineering, 2014, 43(12): 3907-3911(in Chinese).
朱艳英, 姚文颖, 李云涛, 等. 计算全息法产生涡旋光束的实验 [J]. 红外与激光工程, 2014, 43(12): 3907-3911.
[14] Bekshaev A, Orlinska O, Vasnetsov M, Optical vortex generation with a “fork” hologram under conditions of high-angle diffraction [J]. Optics Communications, 2010, 283(10): 2006-2016.
[15] Liu Yongxin, Chen Ziyang, Pu Jixiong, Diffraction Characteristics of Vortex Beams by a Fork-Shaped Grating [J]. Chinese Journal of Lasers, 2011, 38(3): 0302012(in chinese)
刘永欣, 陈子阳, 蒲继雄. 涡旋光束经叉形光栅的衍射特性 [J]. 中国激光, 2011, 38(3): 0302012
[16] Topuzoski S. Fresnel and Fraunhofer di?raction of (l,n)th-mode Laguerre–Gaussian laser beam by a fork-shaped grating [J]. Journal of Modern Optics, 2019, 66(14):1514–1527.
[17] Wang Yajun, Li Xinzhong, Li Hehe, et al. Research Progress of Perfect Vortex Field [J]. Laser & Optoelectronics Progress, 2017, 54(9): 090007(in chinese)
王亚军, 李新忠, 李贺贺, 等. 完美涡旋光场的研究进展 [J]. 激光与光电子学进展, 2017, 54(9): 090007
[18] García-García J, Rickenstorff-Parrao C, Ramos-García R, et al. Simple technique for generating the perfect optical vortex [J]. Optics Letters, 2014, 39(18), 5305-5308.
[19] Vaity P, Rusch L, Perfect vortex beam: Fourier transformation of a Bessel beam [J]. Optics Letters, 2015, 40(4), 597-600.
[20] Li Xinzhong, Meng Ying, Li Hehe, et al. Generation of Perfect Vortex Beams and Space Free-Control Technology [J]. Acta Optica Sinica, 2016, 36(10): 1026018(in Chinese).
李新忠, 孟莹, 李贺贺, 等. 完美涡旋光束的产生及其空间自由调控技术 [J]. 光学学报, 2016, 36(10): 1026018
[21] Li X Z, Ma H X, Yin C L, et al. Controllable mode transformation in perfect optical vortices [J]. Optics Express 2018, 26(2), 651-662.
[22] Shao W, Huang S J, Chen M S, et al. Research of optical vortex’s energy efficiency and diffraction angle based on spatial light modulator [J] Optical Engineering, 56(8), 086113.
[23] Karahroudi MK, Parmoon B, Qasemi M, et al. Generation of perfect optical vortices using a Bessel–Gaussian beam di?racted by curved fork grating [J]. Applied Optics, 56(21) 5817-5823.
[24] Topuzoski S Diffraction of (l,n)th mode Laguerre-Gaussian laser beam by a curved fork-shaped grating [J]. Journal of Modern Optics, 2020, 67(9): 782-798.
[25] Tao S. H, Yuan X-C, Lin J, et al. Fractional optical vortex beam induced rotation of particles [J]. Optics Express，2005, 13(20): 7726-7731.
[26] Zhu L H, Tang M M, Li H H, et al. Optical vortex lattice: an exploitation of orbital angular momentum [J]. Nanophotonics, 2021, 10(9): 2487-2496.
[27] Chen L X, Zhang W H, Lu Q H, et al. Making and identifying optical superpositions of high orbital angular momenta [J]. Physical Review A, 2013, 88(5), 053831
[28] Fan H H, Zhang H, Cai C Y, et al. Flower-Shaped Optical Vortex Array [J]. Annalen der physik, 2021,533, 2000575
[29] Li X Z and Zhang H, Anomalous ring-connected optical vortex array [J]. Optics Express, 2020, 28(9), 13775-13785.
[30] Wang Y K, Ma H X, Zhu L H, et al. Orientation-selective elliptic optical vortex array [J]. Applied Physics Letters, 2020, 116(1), 011101
[31] Simpson S and Hanna S, Optical angular momentum transfer by Laguerre-Gaussian beams [J]. Journal of Optical Society America A, 2009, 26(3): 625-638.
[32] Kotlyar V, Khonina S. Almazov A, et al. Elliptic Laguerre-Gaussian beams [J]. Journal of Optical Society America A, 2006, 23(1), 43-56.
[33] Arnold SF, Leach J, Padgett MJ, et al. Optical ferris wheel for ultracold atoms [J]. Optics Express 2007, 15(14):8619–8625.

高阶衍射级光束的轨道角动量

Orbital angular momentum of higher-order diffraction beams

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