[1] Allen L, Beijersbergen M W, Spreeuw R J et al. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes[J]. Physical Review A, 45, 8185-8189(1992).

[2] 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).

[3] 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).

[4] Yang C Y, Xu C, Ni W J et al. Turbulence heterodyne coherent mitigation of orbital angular momentum multiplexing in a free space optical link by auxiliary light[J]. Optics Express, 25, 25612-25624(2017).

[5] Maurer C, Jesacher A, Bernet S et al. What spatial light modulators can do for optical microscopy[J]. Laser & Photonics Reviews, 5, 81-101(2011).

[6] D’Ambrosio V, Spagnolo N, del Re L et al. Photonic polarization gears for ultra-sensitive angular measurements[J]. Nature Communications, 4, 2432(2013).

[7] Vaity P, Banerji J, Singh R P et al. Measuring the topological charge of an optical vortex by using a tilted convex lens[J]. Physics Letters A, 377, 1154-1156(2013).

[8] Luo M L, Zhang Z H, Shen D H et al. Orbital angular momentum of the vortex beams through a tilted lens[J]. Optics Communications, 396, 206-209(2017).

[9] Deng D, Li Y, Han Y H et al. Detection of multiplexing orbital angular momentum states by single objective[J]. Optics Communications, 428, 84-88(2018).

[10] Zhou H L, Dong J J, Wang J et al. Measuring the orbital angular momentum state of light by coordinate transformation[J]. IEEE Photonics Technology Letters, 29, 86-89(2017).

[11] 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).

[12] Sztul H I, Alfano R R. Double-slit interference with Laguerre-Gaussian beams[J]. Optics Letters, 31, 999-1001(2006).

[13] Ke X Z, Xue P. Generation of orbital angular momentum superpositions and its test[J]. Infrared and Laser Engineering, 47, 0417007(2018).

[14] Zhao Q, Dong M, Bai Y H et al. Measuring high orbital angular momentum of vortex beams with an improved multipoint interferometer[J]. Photonics Research, 8, 745-749(2020).

[15] Kumar P, Nishchal N K. Self-referenced interference of laterally displaced vortex beams for topological charge determination[J]. Optics Communications, 459, 125000(2020).

[16] Pei C Y, Mao Z X, Xu S P et al. Interferometric detection method for orbital angular momentum of vortex beams[J]. Laser & Optoelectronics Progress, 56, 140502(2019).

[17] Ghai D P, Senthilkumaran P, Sirohi R S et al. Single-slit diffraction of an optical beam with phase singularity[J]. Optics and Lasers in Engineering, 47, 123-126(2009).

[18] Melo L A, Silva A J J, Cerda S C et al. Direct measurement of the topological charge in elliptical beams using diffraction by a triangular aperture[J]. Scientific Reports, 8, 6370(2018).

[19] Taira Y, Zhang S K. Split in phase singularities of an optical vortex by off-axis diffraction through a simple circular aperture[J]. Optics Letters, 42, 1373-1376(2017).

[20] Acevedo C, Moreno Y T, Guzmán Á et al. Far-field diffraction pattern of an optical light beam with orbital angular momentum through of a rectangular and pentagonal aperture[J]. Optik, 164, 479-487(2018).

[21] Dai K J, Gao C Q, Zhong L et al. Measuring OAM states of light beams with gradually-changing-period gratings[J]. Optics Letters, 40, 562-565(2015).

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

[23] Saitoh K, Hasegawa Y, Hirakawa K et al. Measuring the orbital angular momentum of electron vortex beams using a forked grating[J]. Physical Review Letters, 111, 074801(2013).

[24] Stoyanov L, Topuzoski S, Stefanov I et al. Far field diffraction of an optical vortex beam by a fork-shaped grating[J]. Optics Communications, 350, 301-308(2015).

[25] Lei T, Zhang M, Li Y R et al. Massive individual orbital angular momentum channels for multiplexing enabled by Dammann gratings[J]. Light: Science & Applications, 4, e257(2015).

[26] Li Y J, Deng J, Li J P et al. Sensitive orbital angular momentum (OAM) monitoring by using gradually changing-period phase grating in OAM-multiplexing optical communication systems[J]. IEEE Photonics Journal, 8, 15834212(2016).

[27] Zheng S, Wang J. Measuring orbital angular momentum (OAM) states of vortex beams with annular gratings[J]. Scientific Reports, 7, 40781(2017).

[28] Zou W K, Yang C Y, Hou J et al. Measurement of topological charges for vortex beams using gradually-changing-period annular gratings[J]. Laser & Optoelectronics Progress, 56, 140501(2019).

[29] Chen R S, Zhang X Q, Wang J H et al. Scalable detection of photonic topological charge using radial phase grating[J]. Applied Physics Letters, 112, 122602(2018).

[30] Liu Z B, Gao S C, Xiao W D et al. Measuring high-order optical orbital angular momentum with a hyperbolic gradually changing period pure-phase grating[J]. Optics Letters, 43, 3076-3079(2018).

[31] Li Y X, Han Y P, Cui Z W et al. Measuring the topological charge of vortex beams with gradually changing-period spiral spoke grating[J]. IEEE Photonics Technology Letters, 32, 101-104(2020).

[32] Broky J, Siviloglou G A, Dogariu A et al. Observation of accelerating airy beams[C], PDP_B3(2007).

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

[34] Zhou J, Zhang W H, Chen L X et al. Experimental detection of high-order or fractional orbital angular momentum of light based on a robust mode converter[J]. Applied Physics Letters, 108, 111108(2016).