[1] XIAO Weiwei, ZHANG Han, ZHAO Xinying et al. Propagation property of X-type vortex beam under the interaction of SAM and OAM[J]. Acta Photonica Sinica, 51, 0151115(2022).

[2] CHENG Mingjian, GUO Lixin, LI Jiangting et al. Channel capacity of the OAM based free-space optical communication links with Bessel-Gauss beams in turbulent ocean[J]. IEEE Photonics Journal, 8, 7901411(2016).

[3] LI Ye, YU Lin, ZHANG Yixin. Influence of anisotropic turbulence on the orbital angular momentum modes of Hermite-Gaussian vortex beam in the ocean[J]. Optics Express, 25, 12203-12215(2017).

[4] CUI Xiaozhou, YIN Xiaoli, CHANG Huan et al. Analysis of an adaptive orbital angular momentum shift keying decoder based on machine learning under oceanic turbulence channels[J]. Optics Communication, 429, 138-143(2018).

[5] WILLNER A, ZHAO Zhe, REN Yongxiong et al. Underwater optical communications using orbital angular momentum-based spatial division multiplexing[J]. Optics Communication, 408, 21-25(2018).

[6] YU Lin, ZHANG Yixin. Analysis of modal crosstalk for communication in turbulent ocean using Lommel-Gaussian beam[J]. Optics Express, 25, 22565-22574(2017).

[7] DENG Shibao, YANG Dongyu, ZHANG Yixin. Capacity of communication link with carrier of vortex localized wave in absorptive turbulent seawater[J]. Waves in Random and Complex Media, 1844925(2020).

[8] OSTROVSKY A, RICKENSTORFF-PARRAO C, ARRIZÓN V. Generation of the ‘perfect’ optical vortex using a liquid-crystal spatial light modulator[J]. Optics Letters, 38, 534-536(2013).

[9] LIANG Yansheng, YAN Shaohui, HE Minru et al. Generation of a double-ring perfect optical vortex by the Fourier transform of azimuthally polarized Bessel beams[J]. Optics Letters, 44, 1504-1508(2019).

[10] PINNELL J, RODRÍGUEZ-FAJARDO V, FORBES A. How perfect are perfect vortex beams？[J]. Optics Letters, 44, 5614-5617(2019).

[11] ZHU Fuquan, HUANG Sujuan, SHAO Wei et al. Free-space optical communication link using perfect vortex beams carrying orbital angular momentum (OAM)[J]. Optics Communication, 396, 50-57(2017).

[12] SHAO Wei, HUANG Sujuan, LIU Xianpeng et al. Free-space optical communication with perfect optical vortex beams multiplexing[J]. Optics Communication, 427, 545-550(2018).

[13] YANG Chunyong, LAN Yue, JIANG Xiaoyu et al. Beam-holding property analysis of the perfect optical vortex beam transmitting in atmospheric turbulence[J]. Optics Communication, 472, 125879(2020).

[14] KARAHROUDI M, MOOSAVI S A, MOBASHERY A et al. Performance evaluation of perfect optical vortices transmission in an underwater optical communication system[J]. Applied Optics, 57, 9148-9154(2018).

[15] WANG Wei, WANG Ping, PANG Weina et al. Evolution properties and spatial-mode UWOC performances of the perfect vortex beam subject to oceanic turbulence[J]. IEEE Transactions on Communicayions, 69, 7647-7658(2021).

[16] TANG Shanfa, YAN Jiawei, YONG Kangle et al. Propagation characteristics of the perfect vortex beam in anisotropic oceanic turbulence[J]. Applied Optics, 59, 9956-9962(2020).

[17] WU Qiong, WANG Bo, WANG Tao et al. Analysis of underwater wireless optical transmission characteristics based on Monte Carlo method[J]. Acta Photonica Sinica, 50, 0406002(2021).

[18] YANG Hongbin, YAN Qingze, ZHANNG Yixin et al. Received probability of perfect optical vortex in absorbent and weak turbulent seawater links[J]. Applied Optics, 60, 10772-10779.

[19] ZHU Yun, ZHANG Yixin, HU Zhengda. Spiral spectrum of Airy beams propagation through moderate-to-strong turbulence of maritime atmosphere[J]. Optics Express, 24, 10847-10857(2016).

[20] JEONG G, KIM S. Performance evaluation of underwater optical wireless communication depending on the modulation scheme[J]. Current Optics and Photonics, 6, 39-43(2022).

[21] FEWELL M, TROJAN A. Absorption of light by water in the region of high transparency: recommended values for photon-transport calculations[J]. Applied Optics, 58, 2408-2421(2019).

[22] YAN Qingze, ZHU Yun, ZHANG Yixin. Capacity of the weakly absorbent turbulent ocean channel with the coaxial double-position power Gaussian vortex[J]. Journal of Marine Science and Engineering, 9, 111712-111717(2021).

[23] LI Ye, ZHANG Yinxin, ZHU Yun. Oceanic spectrum of unstable stratification turbulence with outer scale and scintillation index of Gaussian-beam wave[J]. Optics Express, 27, 16-22(2019).

[24] GUTIÉRREZ-VEGA J, BANDRES M. Normalization of the Mathieu-Gauss optical beams[J]. Journal of the Optical Society of America A, 24, 215-220(2007).

[25] ANDREWS L, PHILLIPS R[M]. Laser beam propagation through random medium(2005).

[26] JEFFREY A, ZWILLINGER D[M]. Table of integrals, series, and products(2007).

[27] HO K[M]. Phase-modulated optical communication systems(2001).

[28] YANG Hongbin, YAN Qingze, WANG Pan et al. Bit-error rate and average capacity of an absorbent and turbulent underwater wireless communication link with perfect Laguerre-Gauss beam[J]. Optics Express, 30, 9053-9064(2022).

[29] KROUK E, SEMENOV S[M]. Modulation and coding techniques in wireless communications(2011).

[30] DAI Yizhan, CHEN Xiao, YANG Xingqi et al. 200-m/500-Mbps underwater wireless optical communication system utilizing a sparse nonlinear equalizer with a variable step size generalized orthogonal matching pursuit[J]. Optics Express, 29, 32228-32243(2021).

[31] WOZ’NIAK B, DERA J[M]. Light absorption in sea water(2007).