[6] [6] ZHANG H,XU L,GUO Y F,et al.Application of AdamSPGD algorithm to sensor-less adaptive optics in coherent free-space optical communication system［J］.Optics Express,2022,30(5):7477-7490.

[8] [8] XU L,WANG J N,YANG L Q,et al.Design and performance analysis of NadamSPGD algorithm for sensor-less adaptive optics in coherent FSOC systems［J］.Photonics,2022,9(2):77.

[9] [9] SONG J K,LI Y Y,CHE D B,et al.Numerical and experimental study on coherent beam combining using an improved stochastic parallel gradient descent algorithm［J］.Laser Physics,2020,30(8).doi:10.1088/1555-6611/ab9118.

[10] [10] CHE D B,LI Y Y,WU Y H,et al.Theory of AdmSPGD algorithm in fiber laser coherent synthesis［J］.Optics Communications,2021,492.doi:10.1016/j.optcom.2021.126953.

[11] [11] YANG G Q,LIU L S,JIANG Z H,et al.Incoherent beam combining based on the momentum SPGD algorithm［J］.Optics and Laser Technology,2018,101:372-378.

[12] [12] HU Q T,ZHEN L L,MAO Y,et al.Adaptive stochastic parallel gradient descent approach for efficient fiber coupling［J］.Optics Express,2020,28(9):13141-13154.

[13] [13] CHEN M A,JIN X Q,LI S B,et al.Compensation of turbulence-induced wavefront aberration with convolutional neural networks for FSO systems［J］.Chinese Optics Letters,2021,19(11):110601.

[14] [14] LUCAS J,SUN S Y,ZEMEL R,et al.Aggregated momentum:stability through passive damping［R］.Los Alamos:arXiv Preprint 2018:arXiv:1804.00325.

[15] [15] DING J B,REN X C,LUO R X,et al.An adaptive and momental bound method for stochastic learning［R］.Los Alamos:arXiv Preprint 2019:arXiv:1910.12249.

[16] [16] ZHAO H,AN J,YU M J,et al.Nesterov-accelerated adaptive momentum estimation-based wavefront distortion correction algorithm［J］.Applied Optics,2021,60(24):7177-7185.

[18] [18] LI Z K,CAO J T,ZHAO X H,et al.Atmospheric compensation in free space optical communication with simulated annealing algorithm［J］.Optics Communications,2015,338:11-21.

[19] [19] NOLL R J.Zernike polynomials and atmospheric turbulence［J］.Journal of the Optical Society of America,1976,66(3):207-211.

[20] [20] CAO J T,ZHAO X H,LIU W,et al.Performance analysis of a coherent free space optical communication system based on experiment［J］.Optics Express,2017,25(13):15299-15312.

[21] [21] AGRAWAL G P.Fiber-optic communication systems［M］.4th ed.New York:John Wiley & Sons,Inc.,2012.

[22] [22] TIAN Q H,LU C D,LIU B,et al.DNN-based aberration correction in a wavefront sensorless adaptive optics system［J］.Optics Express,2019,27(8):10765-10776.