[1] [1] YI X, LI Z, LIU Z J. Underwater optical communication performance for laser beam propagation through weak oceanic turbulence［J］. Applied Optics, 2015, 54(6): 1273-1278.

[2] [2] WOJTANOWSKI J, MIERCZYK Z, ZYGMUNT M. Laser remote sensing of underwater objects［J］. Proceedings of SPIE, 2008, 7105: 71050F.

[3] [3] NIKISHOV V V, NIKISHOV V I. Spectrum of turbulent fluctuations of the sea-water refraction index［J］. International Journal of Fluid Mechanics Research, 2000, 27(1): 82-98.

[4] [4] YIN X L, GUO Y L, YAN H, et al..Analysis of orbital angular momentum spectra of Hankel-Bessel beams in channels with oceanic turbulence［J］. Acta Physica Sinica, 2018, 67(11): 114201. (in Chinese)

[5] [5] FU W Y, ZHANG H M. Propagation properties of partially coherent radially polarized doughnut beam in turbulent ocean［J］. Optics Communications, 2013, 304: 11-18.

[6] [6] CHENG M J, GUO L X, LI J T, et al..Propagation of an optical vortex carried by a partially coherent Laguerre-Gaussian beam in turbulent ocean［J］. Applied Optics, 2016, 55(17): 4642-4648.

[7] [7] CHEN X D, ZHAO D M. Propagation properties of electromagnetic rectangular multi-Gaussian Schell-model beams in oceanic turbulence［J］. Optics Communications, 2016, 372: 137-143.

[8] [8] LU CH Y, ZHAO D M. Propagation of electromagnetic multi-Gaussian Schell-model beams with astigmatic aberration in turbulent ocean［J］. Applied Optics, 2016, 55(29): 8196-8200.

[9] [9] FARWELL N, KOROTKOVA O. Intensity and coherence properties of light in oceanic turbulence［J］. Optics Communications, 2012, 285(6): 872-875.

[10] [10] KOROTKOVA O, FARWELL N, SHCHEPAKINA E. Light scintillation in oceanic turbulence［J］. Waves in Random and Complex Media, 2012, 22(2): 260-266.

[11] [11] NIU CH J, LU F, HAN X E. Propagation properties of Gaussian array beams transmitted in oceanic turbulence simulated by phase screen method［J］. Acta Optica Sinica, 2018, 38(6): 0601004. (in Chinese)

[12] [12] LOU Y, CHEN CH Y, ZHAO Y W, et al..Characteristics of Gaussian vortex beam in atmospheric turbulence transmission［J］. Chinese Optics, 2017, 10(6): 768-776. (in Chinese)

[13] [13] LI B, WANG T F, WANG D N, et al..Simulation of laser beam propagation through turbulence［J］. Chinese Optics, 2012, 5(3): 289-295. (in Chinese)

[14] [14] ZHAO Y F, LI Y J, ZHANG Y, et al..A space-based infrared detection scene generation system for moving objects with sea background［J］. Opt. Precision Eng., 2017, 25(4): 1019-1025. (in Chinese)

[15] [15] LIU CH, CHEN SH Q, LIAO ZH, et al..Correction of atmospheric turbulence by adaptive optics in waveband of free-space coherent laser communication［J］. Opt. Precision Eng., 2014, 22(10): 2605-2610. (in Chinese)

[16] [16] LIU X H, PU J X. Investigation on the scintillation reduction of elliptical vortex beams propagating in atmospheric turbulence［J］. Optics Express, 2011, 19(27): 26444-26450.

[17] [17] YE F, ZHANG J B, XIE J T, et al..Propagation properties of the rotating elliptical chirped Gaussian vortex beam in the oceanic turbulence［J］. Optics Communications, 2018, 426: 456-462.

[18] [18] ZHANG J B, XIE J T, YE F, et al..Effects of the turbulent atmosphere and the oceanic turbulence on the propagation of a rotating elliptical Gaussian beam［J］. Applied Physics B, 2018, 124(8): 168.

[19] [19] LIU Y X, CHEN Z Y, PU J X. Propagation of stochastic electromagnetic high-order Bessel-Gaussian beams in the oceanic turbulence［J］. Acta Physica Sinica, 2017, 66(12): 124205. (in Chinese)

[20] [20] XIAO X F, KOROTKOVA O, VOELZ D G. Laboratory investigation of the spectral exponent effect on scintillation in non-kolmogorov turbulence［C］. Proceedings of 2014 Imaging and Applied Optics, OSA, 2014: PM3E.3.

[21] [21] KOTLYAR V V, KHONINA S N, ALMAZOV A A, et al..Elliptic Laguerre-Gaussian beams［J］. Journal of the Optical Society of America A, 2006, 23(1): 43-56.

[22] [22] LIU Y X, ZHANG K N, CHEN Z Y, et al..Scintillation index of double vortex beams in turbulent atmosphere［J］. Optik, 2019, 181: 571-574.