[1] CVIJETIC N, MILIONE G, IP Eet. Detecting lateral motion using light's orbital angular momentum[J]. Scientific Reports, 5, 15422(2015).

[2] WILLNER A E, AHMED N, LAVERY M P J et al. Optical communications using orbital angular momentum beams[J]. Advances in Optics and Photonics, 7, 66-106(2015).

[3] YU Tao, XIA Hui, FAN Zhihua et al. Generation of Bessel-Gaussian vortex beam by combining technology[J]. Acta Physica Sinica, 67, 134203(2018).

[4] LI Fajing, NIE Shouping, MA Jun et al. Multiple-dimensional multiplexed holography based on modulated chiro-optical fields[J]. Optics Express, 30, 41567-41579(2022).

[5] HOU Tianyue, CHANG Qi, YU Tao et al. Switching the orbital angular momentum state of light with mode sorting assisted coherent laser array system[J]. Optics Express, 29, 13428-13440(2021).

[6] YU Tao, XIA Hui, XIE Qiao et al. Free-space remote detection of a spinning object using the combined vortex beam[J]. Optics Express, 30, 39294-39308(2022).

[7] WEN Lianghua, YANG Ping, YANG Kangjian et al. Experiments of the aberrations correction for membrane fresnel lens based on wavefront sensorless[J]. Acta Photonica Sinica, 46, 1011001(2017).

[8] GU Haijun, LIU Meiqi, LIU Haoyu et al. An algorithm combining convolutional neural networks with SPGD for SLAO in FSOC[J]. Optics Communications, 475, 126243(2020).

[9] GENG Chao, LUO Wen, TAN Yi et al. Experimental demonstration of using divergence cost-function in SPGD algorithm for coherent beam combining with tip/tilt control[J]. Optics Express, 2013 21, 25045-25055.

[10] KE Xizheng, WANG Xiayao. Experimental study on the correction of wavefront distortion for vortex beam[J]. Acta Optica Sinica, 38, 0328018(2018).

[11] PENG Yiming, XUE Yu, XIAO Guangzong et al. Spiral spectrum analysis and application of coherent synthetic vortex beams[J]. Acta Physica Sinica, 68, 214206(2019).

[12] YU Tao, XIA Hui, XIE Wenke et al. The generation and verification of Bessel-Gaussian beam based on coherent beam combining[J]. Results in Physics, 16, 102872(2020).

[13] YU Tao, XIA Hui, XIE Qiao et al. Free-space remote detection of a spinning object using the combined vortex beam[J]. Optics Express, 30, 39294-39308(2022).

[14] MA Shengjie, HAO Shiqi, ZHAO Qingsong. Wavefront distortion correction of vortex beam based on improved SPGD algorithm[J]. Acta Optica Sinica, 41, 0601001(2021).

[15] CHEN Meirui, JIANG Lü, MAO Hongmin et al. High-precision static aberration correction method of SPGD algorithm[J]. Acta Optica Sinica, 43, 0511001(2023).

[16] HUANG Hao, REN Yongxiong, YAN Yan et al. Phase-shift interference-based wavefront characterization for orbital angular momentum modes[J]. Optics Letters, 38, 2348-2350(2013).

[17] XIE Guodong, REN Yongxiong, HUANG Hao et al. Phase correction for a distorted orbital angular momentum beam using a Zernike polynomials-based stochastic-parallel-gradient-descent algorithm[J]. Optics Letters, 40, 1197-1200(2015).

[18] MULLER R A, BUFFINGTON A. Real-time correction of atmospherically degraded telescope images through image sharpening[J]. Journal of the Optical Society of America, 1974 64, 1200-1210.

[19] SUN Ridong, GUO Lixin, CHENG Mingjian et al. Propagation characteristics of bessel-gaussian beam in anisotropic atmosphere[J]. Acta Photonica Sinica, 47, 1201002(2018).

[20] GBUR G, KOROTKOVA O. Angular spectrum representation for the propagation of arbitrary coherent and partially coherent beams through atmospheric turbulence[J]. Journal of the Optical Society of America A, 2007 24, 745-752.

[21] PAN Sunxiang, WANG Le, WANG Wennai et al. An effective way for simulating oceanic turbulence channel on the beam carrying orbital angular momentum[J]. Scientific Reports, 9, 14009(2019).

[22] GLEDZER E B. On termodynamics of Kolmogorov's scaling in turbulence[J]. Izvestiya Atmospheric and Oceanic Physics, 57, 67-71(2023).

[23] HOU Tianyue, CHANG Qi, LONG Jinhu et al. Design considerations and performance analysis of a fiber laser array system for structuring orbital angular momentum beams: a simulation study[J]. Optics Express, 30, 15279-15309(2022).