Orbital angular momentum of higher-order diffraction beams

doi:10.3969/j.issn.1007-5461.2022.01.009

Abstract

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

CLC Number:

O438.2

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.

References

[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.