[1] Krenn M, Malik M, Erhard M et al. Orbital angular momentum of photons and the entanglement of Laguerre-Gaussian modes[J]. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 375, 20150442(2017).

[2] Shen Y J, Wang X J, Xie Z W et al. Optical vortices 30 years on: OAM manipulation from topological charge to multiple singularities[J]. Light: Science & Applications, 8, 90(2019).

[3] Padgett M J. Orbital angular momentum 25 years on [Invited][J]. Optics Express, 25, 11265-11274(2017).

[4] 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).

[5] Andrews L C, Phillips R L. Laser beam propagation through random media[M]. Bellingham: SPIE(2005).

[6] Yu J Y, Zhu X L, Wang F et al. Experimental study of reducing beam wander by modulating the coherence structure of structured light beams[J]. Optics Letters, 44, 4371-4374(2019).

[7] Liu X L, Wang F, Wei C et al. Experimental study of turbulence-induced beam wander and deformation of a partially coherent beam[J]. Optics Letters, 39, 3336-3339(2014).

[8] Yang S K, Wang X Y, Zhao L et al. Wander of anomalous vortex beams propagating through anisotropic atmospheric turbulence[J]. Laser Technology, 45, 252-258(2021).

[9] Wang F, Liu X L, Cai Y J. Propagation of partially coherent beam in turbulent atmosphere: a review[J]. Progress in Electromagnetics Research, 150, 123-143(2015).

[10] Zheng G. Coherent property evolution of partially coherent elliptical vortex beam propagation through turbulence[J]. Laser & Optoelectronics Progress, 58, 0901001(2021).

[11] Nan J H, Han Y P. Dual-channel multiband vortex optical communication[J]. Acta Optica Sinica, 41, 1206001(2021).

[12] Kaushal H, Kumar V, Dutta A et al. Experimental study on beam wander under varying atmospheric turbulence conditions[J]. IEEE Photonics Technology Letters, 23, 1691-1693(2011).

[13] Andrews L C, Phillips R L, Hopen C Y et al. Theory of optical scintillation[J]. Journal of the Optical Society of America A, 16, 1417-1429(1999).

[14] Chen Z, Li C, Ding P et al. Experimental investigation on the scintillation index of vortex beams propagating in simulated atmospheric turbulence[J]. Applied Physics B, 107, 469-472(2012).

[15] Li L, Song H Q, Zhang R Z et al. Increasing system tolerance to turbulence in a 100-Gbit/s QPSK free-space optical link using both mode and space diversity[J]. Optics Communications, 480, 126488(2021).

[16] Wang A D, Zhu L, Deng M L et al. Experimental demonstration of OAM-based transmitter mode diversity data transmission under atmosphere turbulence[J]. Optics Express, 29, 13171-13182(2021).

[17] Gao Y, Fu S Y, Zhang S K et al. Research on generation of high-order vortex beams[J]. Optical Technique, 43, 114-117(2017).

[18] Willner A E, Huang H, Yan Y et al. Optical communications using orbital angular momentum beams[J]. Advances in Optics and Photonics, 7, 66-106(2015).

[19] Krenn M, Malik M, Erhard M et al. Orbital angular momentum of photons and the entanglement of Laguerre-Gaussian modes[J]. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 375, 20150442(2017).

[20] Piquero G, Santarsiero M, Martínez-Herrero R et al. Partially coherent sources with radial coherence[J]. Optics Letters, 43, 2376-2379(2018).

[21] Chen J, Li Y. Discrimination of incoherent vortex states of light[J]. Optics Letters, 43, 5595-5598(2018).

[22] Kai C H, Feng Z K, Dedo M I et al. The performances of different OAM encoding systems[J]. Optics Communications, 430, 151-157(2019).

[23] Cook R J. Beam wander in a turbulent medium: an application of Ehrenfest’s theorem[J]. Journal of the Optical Society of America, 65, 942-948(1975).

[24] Liu M J, Chen J, Zhang Y et al. Generation of coherence vortex by modulating the correlation structure of random lights[J]. Photonics Research, 7, 1485-1492(2019).

[25] Perez-Garcia B, Yepiz A. Hernandez-Aranda R I, et al. Digital generation of partially coherent vortex beams[J]. Optics Letters, 41, 3471-3474(2016).

[26] Pinnell J, Nape I, Sephton B et al. Modal analysis of structured light with spatial light modulators: a practical tutorial[J]. Journal of the Optical Society of America A, 37, C146-C160(2020).

[27] Yu J, Huang Y, Wang F et al. Scintillation properties of a partially coherent vector beam with vortex phase in turbulent atmosphere[J]. Optics Express, 27, 26676-26688(2019).

[28] Vasnetsov M V, Pas’ko V A, Soskin M S. Analysis of orbital angular momentum of a misaligned optical beam[J]. New Journal of Physics, 7, 46(2005).