[1] Xia Haojie, Gu Ronghui, Pan Chengliang, et al. Signal processing method for displacement measurement interferometry using vortex beams[J]. Optics and Precision Engineering, 28, 1905-1912(2020).

[2] Yuan Hongwei, Rao Shenglong, Wu Dong, et al. Fabrication and rotation driving of movable microstructures based on femtosecond laser[J]. Optics and Precision Engineering, 28, 584-590(2020).

[3] Lu Tengfei, Zhang Kaining, Wu Zhijun, et al. Propagation properties of elliptical vortex beams in turbulent ocean[J]. Chinese Optics, 13, 323-332(2020).

[4] Song Dongsheng, Zheng Yuanlin, Liu Hu, et al. Eigen generalized Jones matrix method[J]. Chinese Optics, 13, 637-645(2020).

[5] Wang A, Zhu L, Wang L, et al. Directly using 8.8 km conventional multi-mode fiber for 6-mode orbital angular momentum multiplexing transmission[J]. Optics Express, 26, 10038-10047(2018).

[6] Ding M, Chen Y, Zhao Y, et al. Propagation and orbital angular momentum of vortex beams generated from a spiral phase plate-fiber[J]. Laser Physics Letters, 16, 035106(2019).

[7] Bai Xiuli, Chen Heming, Zhang Lingfei. Circular photonic crystal fiber supporting orbital angular momentum modes transmission[J]. Infrared and Laser Engineering, 48, 0222002(2019).

[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] Qu Z, Djordjevic I B. 500Gb/s free-space optical transmission over strong atmospheric turbulence channels[J]. Optics Letters, 41, 3285(2016).

[10] Peng J, Zhang L, Zhang K, et al. Channel capacity of OAM based FSO communication systems with partially coherent Bessel–Gaussian beams in anisotropic turbulence[J]. Optics Communications, 418, 32-36(2018).

[11] Ke Xizheng, Shi Xinyu. Experimental study on the superposition of high-order radial Laguerre-Gaussian beams[J]. Infrared and Laser Engineering, 47, 1207002(2018).

[12] 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).

[13] 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).

[14] Gbur G, Tyson R K. Vortex beam propagation through atmospheric turbulence and topological charge conservation[J]. J Opt Soc Am A Opt Image Sci Vis, 25, 225-230(2008).

[15] Wang T, Pu J, Chen Z. Beam-spreading and topological charge of vortex beams propagating in a turbulent atmosphere[J]. Optics Communications, 282, 1255-1259(2009).

[16] Liu X, Pu J. Investigation on the scintillation reduction of elliptical vortex beams propagating in atmospheric turbulence[J]. Optics Express, 19, 26444-26450(2011).

[17] 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).

[18] Ke Xizheng, Guo Xinlong. Orbital angular momentum research of high order Bessel Gaussian beam in a slant atmosphere turbulence[J]. Infrared and Laser Engineering, 44, 3744-3749(2015).

[19] Lavery M P J, Peuntinger C, Günthner Kevin, et al. Free-space propagation of high-dimensional structured optical fields in an urban environment[J]. Science Advances, 3, e1700552(2017).

[20] [20] rews L C, Phillips R L. Laser Beam Propagation Through Rom Media [M]. 2nd ed. Washington, USA: SPIE Press, 2005.

[21] Ke Xizheng, Xue Pu. Generation of orbital angular momentum superpositions and its test[J]. Infrared and Laser Engineering, 47, 0417007(2018).

[22] Ding Pafeng, Pu Jixiong. Propagation of Laguerre-Gaussian vortex beam[J]. Acta Phys Sin, 60, 338-342(2011).

[23] Liu Yunqing, Jiang Huilin, Tong Shoufeng. Study on stabilization tracking technology for atmospheric laser communication system[J]. Chinese Journal of Lasers, 38, 0505005(2011).

[24] Chen Junda, Wang Tianshu, Xinmeng Zhang, et al. Free-space transmission system in a tunable simulated atmospheric turbulence channel using a high-repetition-rate broadband fiber laser[J]. Applied Optics(2019581026352640).

[25] Zhang Xinmeng, Wang Tianshu, Chen Junda, et al. Scintillation index reducing based on wide-spectral mode-locking fiber laser carriers in a simulated atmospheric turbulent channel[J]. Optics Letters, 43, 342(2018).

[26] Ni Xiaolong, Song Lujun, Jiang Huilin, et al. Contrast experimental research on turbulence characteristics between a simulate turbulence and the real atmospheric turbulence[J]. Laser & Optoelectronics Progress, 52, 090103(2015).

[27] Ni Xiaolong, Song Lujun, Jiang Huilin, et al. Research on turbulence stability characteristic of convection turbulence simulator[J]. Laser & Optoelectronics Progress, 52, 100102(2015).

[28] Lukin V P, Konyaev P A, Sennikov V A. Beam spreading of vortex beams propagating in turbulent atmosphere[J]. Applied Optics, 51, C84(2012).