[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, 45, 8185-8189(1992).

[2] Zhang H. Research of the generation and detection about vortex beams[D]. Chengdu: University of Electronic Science and Technology of China, 1-6(2016).

[3] Grier D G. A revolution in optical manipulation[J]. Nature, 424, 810-816(2003).

[4] Paterson L. MacDonald M P, Arlt J, et al. Controlled rotation of optically trapped microscopic particles[J]. Science, 292, 912-914(2001).

[5] Tao S H, Yuan X C, Lin J et al. Fractional optical vortex beam induced rotation of particles[J]. Optics Express, 13, 7726-7731(2005).

[6] Li M M, Yan S H, Yao B L et al. Optically induced rotation of Rayleigh particles by vortex beams with different states of polarization[J]. Physics Letters A, 380, 311-315(2016).

[7] Lehmuskero A, Li Y M, Johansson P et al. Plasmonic particles set into fast orbital motion by an optical vortex beam[J]. Optics Express, 22, 4349-4356(2014).

[8] Wang J, Yang J Y, Fazal I M et al. Terabit free-space data transmission employing orbital angular momentum multiplexing[J]. Nature Photonics, 6, 488-496(2012).

[9] Bozinovic N, Yue Y, Ren Y et al. Terabit-scale orbital angular momentum mode division multiplexing in fibers[J]. Science, 340, 1545-1548(2013).

[10] Vallone G. D'Ambrosio V, Sponselli A, et al. Free-space quantum key distribution by rotation-invariant twisted photons[J]. Physical Review Letters, 113, 060503(2014).

[11] Torner L, Torres J P, Carrasco S. Digital spiral imaging[J]. Optics Express, 13, 873-881(2005).

[12] Zeng J, Chen Y H, Liu X L et al. Research progress on partially coherent vortex beams[J]. Acta Optica Sinica, 39, 0126004(2019).

[13] Yao A M, Padgett M J. Orbital angular momentum: origins, behavior and applications[J]. Advances in Optics and Photonics, 3, 161-204(2011).

[14] Andrews D, Babiker M[M]. The angular momentum of light(2012).

[15] Harris M, Hill C A, Tapster P R et al. Laser modes with helical wave fronts[J]. Physical Review A, 49, 3119-3122(1994).

[16] Clifford M A, Arlt J, Courtial J et al. High-order Laguerre-Gaussian laser modes for studies of cold atoms[J]. Optics Communications, 156, 300-306(1998).

[17] Ohtake Y, Ando T, Fukuchi N et al. Universal generation of higher-order multiringed Laguerre-Gaussian beams by using a spatial light modulator[J]. Optics Letters, 32, 1411-1413(2007).

[18] Matsumoto N, Ando T, Inoue T et al. Generation of high-quality higher-order Laguerre-Gaussian beams using liquid-crystal-on-silicon spatial light modulators[J]. Journal of the Optical Society of America A, 25, 1642-1651(2008).

[19] Ruffato G, Massari M, Romanato F. Generation of high-order Laguerre-Gaussian modes by means of spiral phase plates[J]. Optics Letters, 39, 5094-5097(2014).

[20] Sueda K, Miyaji G, Miyanaga N et al. Laguerre-Gaussian beam generated with a multilevel spiral phase plate for high intensity laser pulses[J]. Optics Express, 12, 3548-3553(2004).

[21] Padgett M, Arlt J, Simpson N et al. An experiment to observe the intensity and phase structure of Laguerre-Gaussian laser modes[J]. American Journal of Physics, 64, 77-82(1996).

[22] Leach J, Padgett M J, Barnett S M et al. Measuring the orbital angular momentum of a single photon[J]. Physical Review Letters, 88, 257901(2002).

[23] Slussarenko S. D'Ambrosio V, Piccirillo B, et al. The polarizing Sagnac interferometer: a tool for light orbital angular momentum sorting and spin-orbit photon processing[J]. Optics Express, 18, 27205-27216(2010).

[24] Ke X Z, Xie Y C, Zhang Y. Orbital angular momentum measurement of vortex beam and its performance improvement[J]. Acta Optica Sinica, 39, 0126017(2019).

[25] Hickmann J M. Fonseca E J S, Soares W C, et al. Unveiling a truncated optical lattice associated with a triangular aperture using light's orbital angular momentum[J]. Physical Review Letters, 105, 053904(2010).

[26] Mourka A, Baumgartl J, Shanor C et al. Visualization of the birth of an optical vortex using diffraction from a triangular aperture[J]. Optics Express, 19, 5760-5771(2011).

[27] Mazilu M, Mourka A, Vettenburg T et al. Simultaneous determination of the constituent azimuthal and radial mode indices for light fields possessing orbital angular momentum[J]. Applied Physics Letters, 100, 231115(2012).

[28] Mao N, Wei H Y, Cai D M et al. Simulation for measuring the topological charges of composite vortex beams[J]. Chinese Journal of Lasers, 46, 0104008(2019).

[29] Berkhout G C G, Lavery M P J, Courtial J et al. . Efficient sorting of orbital angular momentum states of light[J]. Physical Review Letters, 105, 153601(2010).

[30] Lavery M P J, Berkhout G C G, Courtial J et al. . Measurement of the light orbital angular momentum spectrum using an optical geometric transformation[J]. Journal of Optics, 13, 064006(2011).

[31] Alperin S N, Niederriter R D, Gopinath J T et al. Quantitative measurement of the orbital angular momentum of light with a single, stationary lens[J]. Optics Letters, 41, 5019-5022(2016).

[32] Alperin S N, Siemens M E. Angular momentum of topologically structured darkness[J]. Physical Review Letters, 119, 203902(2017).

[33] Khonina S N, Kotlyar V V, Skidanov R V et al. Gauss-Laguerre modes with different indices in prescribed diffraction orders of a diffractive phase element[J]. Optics Communications, 175, 301-308(2000).

[34] Gibson G, Courtial J, Padgett M J et al. Free-space information transfer using light beams carrying orbital angular momentum[J]. Optics Express, 12, 5448-5456(2004).

[35] Wang Z, Yan Y, Arbabi A et al. Orbital angular momentum beams generated by passive dielectric phase masks and their performance in a communication link[J]. Optics Letters, 42, 2746-2749(2017).

[36] Yang L, Qian D D, Xin C et al. Two-photon polymerization of microstructures by a non-diffraction multifoci pattern generated from a superposed Bessel beam[J]. Optics Letters, 42, 743-746(2017).

[37] Pan S Z, Pei C Y, Liu S et al. Measuring orbital angular momentums of light based on petal interference patterns[J]. OSA Continuum, 1, 451-461(2018).

[38] Dennis M R. O'Holleran K, Padgett M J. Singular optics: optical vortices and polarization singularities[M]. ∥Wolf E. Progress in Optics. Amsterdam, Netherlands: Elsevier, 293-363(2009).