[1] Xuewen WANG, Zhongquan NIE, Yao LIANG et al. Recent advances on optical vortex generation. Nanophotonics, 7, 1533-1556(2018).

[2] Yijie SHEN, Xilin YANG, Ruoyang QI et al. Recent advances on tunable vortex beam devices for biomedical applications. Biomedical Journal of Scientific & Technical Research, 9, 5(2018).

[3] Honggeng WANG, Qiying SONG, Yi CAI et al. Recent advances in generation of terahertz vortex beams and their applications. Chinese Physics B, 29, 097404(2020).

[4] Kuang ZHANG, Yuxiang WANG, Yueyi YUAN et al. A review of orbital angular momentum vortex beams generation: from traditional methods to metasurfaces. Applied Sciences, 10, 1015(2020).

[5] L ALLEN, M W BEIJERSBERGEN, R J C SPREEUW et al. Orbital angular momentum of light and transformation of Laguerre Gaussian Laser modes. Physical Review A, 45, 8185-8189(1992).

[6] T WIENER, S KARP. The role of blue/green laser systems in strategic submarine communications. IEEE Transactions on Communications, 28, 1602-1607(1980).

[7] V V NIKISHOV, V I NIKISHOV. Spectrum of turbulent fluctuations of the sea-water refraction index. International Journal of Fluid Mechanics Research, 27, 82-98(2000).

[8] M C GÖKÇE, Y BAYKAL. Aperture averaging and BER for Gaussian beam in underwater oceanic turbulence. Optics Communications, 410, 830-835(2018).

[9] J BAGHDADT, K MILLER, K MORGAN et al. Multi-gigabit/s underwater optical communication link using orbital angular momentum multiplexing. Optics Express, 24, 9794-9805(2016).

[10] Yongxiong REN, Long LI, Zhe WANG et al. Orbital angular momentum-based space division multiplexing for high-capacity underwater optical communications. Scientific Reports, 6, 33306(2016).

[11] A WILLNER, Zhe ZHAO, Yongxiong REN et al. Underwater optical communications using orbital angular momentum-based spatial division multiplexing. Optics Communications, 408, 21-25(2017).

[12] Wenbin WANG, R GOZALI, Lingyan SHI et al. Deep transmission of Laguerre-Gaussian vortex beams through turbid scattering media. Optics Letters, 41, 2069-2072(2016).

[13] Chunmeng He, Shujie HUANG. A new-type composite vortex beam generated by coaxial superposition. Journal of Optoelectronics Laser, 24, 2440-2445(2013).

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

[15] Tengfei LU, Yongxin LIU, Jixiong PU. Experimental study on scintillation index of vortex beam propagation in underwater turbulence. Acta Photonica Sinica, 48, 1214004(2019).

[16] Wenhao ZHANG, Le WANG, Wennai WANG et al. Propagation property of Laguerre-Gaussian beams carrying fractional orbital angular momentum in an underwater channel. OSA Continuum, 2, 3281(2019).

[17] Yanling SUN, Jiarui ZHANG, Zhengzhong LU. Propagation characteristics of Laguerre-Gaussian vortex beams in underwater turbulence. Acta Optica Sinica, 39, 1001005(2019).

[18] A WILLNER, Zhe ZHAO, Cong LIU et al. Perspectives on advances in high-capacity, free-space communications using multiplexing of orbital-angular-momentum beams. APL Photonics, 6, 030901(2021).

[19] Qingqing DENG, Chaoxu CHEN, Wei CHEN et al. Bit error rate analysis in atmospheric turbulence channel of synthetic double vortex beam. IEEE Photonics Journal, 14, 1-5(2022).

[20] Mingjun WANG, Wenhui YU, Chaojun HUANG. Transmission characteristics of underwater laguerre-gaussian vortex beam and its superposition states. Acta Optica Sinica, 43, 0626001(2023).

[21] Yongxin LIU, Kaining ZHANG, Ziyang CHEN et al. Scintillation index of double vortex beams in turbulent atmosphere. Optik, 181, 571-574(2019).

[22] Xinguang WANG, Le WANG, Shengmei ZHAO. Research on Hypergeometric-Gaussian vortex beam propagating under oceanic turbulence by theoretical derivation and numerical simulation. Journal of Marine Science and Engineering, 9, 442(2021).

[23] Mingjun WANG, Qun CHENG, Jianqing LI et al. Transmission characteristics of blue-green vortex beams in the lower atmosphere-upper ocean link. Journal of Quantitative Spectroscopy and Radiative Transfer, 286, 108205(2022).

[24] H T EYYUBOĞLU. Estimation of aperture averaged scintillations in weak turbulence regime for annular, sinusoidal and hyperbolic Gaussian beams using random phase screen. Optics & Laser Technology, 52, 96-102(2013).

[25] Xuhong HUANG, Zhongyi LI, Haihan LU et al. 6-m/10-Gbps underwater wireless red-light laser transmission system. Optical Engineering, 57, 066110(2018).

[26] Dongling XU, Peng YUE, Xiang YI. A theoretical analysis method of OAM-based FSO error performance. Acta Electronica Sinica, 49, 1934-1944(2021).