[1] Guo Jinmiao, Zheng Shijie, Zhou Kainan, et al. Measurement of real phase distribution of a vortex beam propagating in free space based on an improved heterodyne interferometer[J]. Applied Physics Letters, 119, 023504(2021).

[2] Hu Juntao, Lan Yanping, Fan Haihao, et al. Generation and manipulation of multi-twisted beams via azimuthal shift factors[J]. Applied Physics Letters, 121, 221103(2022).

[3] Yang Yongzheng, Wu You, Zheng Xxinqing, et al. Particle manipulation with twisted circle Pearcey vortex beams[J]. Optics Letters, 48, 3535-3538(2023).

[4] Tian Yuhan, Wang Lulu, Duan Gaoyan, et al. Multi-trap optical tweezers based on composite vortex beams[J]. Optics Communications, 485, 126712(2021).

[5] Li Mao, Gao Wenyu, Ma Xin, . Study on optical manipulation of yeast cells by vortex beam[J]. Laser Journal, 40, 35-38(2019).

[6] Wu Ziheng, Zhao Jiang, Dou Jiantai, et al. Optical trapping of multiple particles based on a rotationally-symmetric power-exponent-phase vortex beam[J]. Optics Express, 30, 42892-42901(2022).

[7] Yin Xiaojin, Hao Pengqi, Zhang Yupei, et al. Propagation of noninteger cylindrical vector vortex beams in a gradient-index fiber[J]. Optics Letters, 48, 2484-2487(2023).

[8] Chib S, Khannous F, Belafhal A. Propagation of General Model vortex higher-order cosh-Gaussian beam in maritime turbulence[J]. Optical and Quantum Electronics, 55, 971(2023).

[9] Zhai Shuang, Zhu Yun, Zhang Yixin, et al. Effects of oceanic turbulence on orbital angular momenta of optical communications[J]. Journal of Marine Science and Engineering, 8, 869(2020).

[10] Dai Chuansheng, Zhang Yimin, Tao Runxia, et al. The nonlinear propagation of cylindrical vector beams in an optical fiber[J]. Optics & Laser Technology, 130, 106336(2020).

[11] [11] Shen Yijie, Wang Xuejiao, Xie Zhenwei, et al. Optical vtices 30 years on: OAM manipulation from topological ge to multiple singularities [J]. Light: Science & Applications, 2019, 8: 90.

[12] Kozawa Y, Matsunaga D, Sato S. Superresolution imaging via superoscillation focusing of a radially polarized beam[J]. Optica, 5, 86-92(2018).

[13] Zhu Xiangyang, Qiu Song, Liu Tong, et al. Rotating axis measurement based on rotational Doppler effect of spliced superposed optical vortex[J]. Nanophotonics, 12, 2157-2169(2023).

[14] Wang Haiping, Tang Liqin, Ma Jina, et al. Optical clearing and shielding with fan-shaped vortex beams[J]. APL Photonics, 5, 016102(2020).

[15] Bulygin A D, Geints Y E, Geints I Y. Vortex beam in a turbulent Kerr medium for atmospheric communication[J]. Photonics, 10, 856(2023).

[16] Villalba N, Melo C, Ayala S, et al. Transmission of optical communication signals through ring core fiber using perfect vortex beams[J]. Optics Express, 31, 40113-40123(2023).

[17] Hu Xiansheng, Gezhi Zhaxibamao, Sasaki O, et al. Topological charge measurement of vortex beams by phase-shifting digital hologram technology[J]. Applied Optics, 57, 10300-10304(2018).

[18] Ding Xi, Feng Guoying, Zhou Shouhuan. Detection of phase distribution of vortex beams based on low frequency heterodyne interferometry with a common commercial CCD camera[J]. Applied Physics Letters, 11, 031106(2020).

[19] Pan Sunxiang, Zhao Shengmei, Wang Le, . Experimental investigation of underwater propagation characteristics of orbital angular momentum[J]. Acta Optica Sinica, 38, 0606004(2018).

[20] Zhao Shengmei, Zhang Wenhao, Wang Le, et al. Propagation and self-healing properties of Bessel-Gaussian beam carrying orbital angular momentum in an underwater environment[J]. Scientific Reports, 9, 2025(2019).

[21] Avramov-Zamurovic S, Nelson C, Esposito J M. Experimentally evaluating beam scintillation and vortex structure as a function of topological charge in underwater optical turbulence[J]. Optics Communications, 513, 128079(2022).

[22] Pan Yuqi, Zhao Minglin, Zhang Mingming, et al. Propagation properties of rotationally-symmetric power-exponent-phase vortex beam through oceanic turbulence[J]. Optics & Laser Technology, 159, 109024(2023).

[23] 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).

[24] Falits A V, Kuskov V V, Banakh V A. Propagation of vortex optical beams through artificial convective turbulence[J]. Journal of Quantitative Spectroscopy and Radiative Transfer, 302, 108568(2023).

[25] Wu Ran, Chen Jun, Zhang Yingying, et al. Revealing the orbital angular momentum spectrum and correlation phase of optical vortices with wander perturbations and spiral offsets[J]. Journal of Lightwave Technology, 40, 2008-2014(2022).

[26] Zhang Hui, Ding Wenqiang, Fu Peng, et al. Reducing orbital angular momentum crosstalk of the Bessel–Gaussian beam for underwater optical communications[J]. Journal of Optics, 22, 065702(2020).