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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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