[1] [1] D. L. Fried. Branch point problem in adaptive optics ［J］. J. Opt. Soc. Am. A, 1998, 15(10): 2759～2768

[2] [2] Fan Chengyu, Wang Yingjian, Gong Zhiben. Detection of branch point in light phase ［J］. Acta Optica Sinica, 2001, 21(11): 1388～1391

[3] [3] Li Xiaofeng. The Principle and Technology of the Satellite-to-Ground Laser Communication Links ［M］. Beijing: National Defense Industry Press, 2007. 138～149

[4] [4] Gong Zhiben. Some research progress on high-energy laser propagation in atmosphere ［J］. Chinese J. Quantum Electronics, 1998, 15(2): 114～133

[5] [5] Ge Xiaolu, Fan Chengyu, Wang Yingjian. Variation of phase branch point number with turbulence strength in laser propagation through atmosphere ［J］. Acta Optica Sinica, 2008, 28(1): 1～6

[6] [6] Jiang Wenhan, Li Huagui. Hartmann-Shack wave-front sensing and wave-front control algorithm ［C］. SPIE, 1990, 1271: 82～93

[7] [7] O. Albert, L. Sherman, G. Mourou et al.. Smart microscope: an adaptive optics learning system for aberration correction in multiphoton confocal microscopy ［J］. Opt. Lett., 2000, 25(1): 52～54

[8] [8] Fu Fuxing, Zhang Bin. Analysis on effect of wave-front phase distortion correction [J]. High Power Laser and Particle Beams, 2011, 23(1): 1～6

[9] [9] Fan Chengyu, Wang Yingjian, Gong Zhiben. Effect of branch points on adaptive optics ［J］. High Power Laser and Particle Beams, 2003, 15(5): 435～438

[10] [10] R. K. Tyson, D. M. Byrne. The effect of wavefront sensor characteristics and spatiotemporal coupling on the correcting capability of a deformable mirror ［C］. SPIE, 1980, 228: 21～25

[11] [11] Zhang Deliang, Jiang Wenhan, Wu Xubing et al.. Compensation effect of an adaptive optics system for atmosphere induced wavefront perturbation Ⅱ. analysis of the results for light propagation in horizontal atmosphere ［J］. Acta Optica Sinica, 1998, 18(10): 1372～1379

[12] [12] B. J. Herman, L. A. Strugala. Method for inclusion of low-frequency contributions in numerical representation of atmospheric turbulence ［C］. SPIE, 1990, 1221: 183～192

[13] [13] Hua Zhili, Li Hongping. Atmospheric turbulence phase screen simulation based on random unit expansion ［J］. Acta Optica Sinica, 2012, 32(5): 05010011

[14] [14] Wang Jianye, Rao Ruizhong, Liu Xiaochun. Comparison of experimental study of atmospheric coherence length ［J］. Chinese J. Lasers, 2005, 32(1): 64～66

[15] [15] Fu Fuxing, Zhang Bin. Recovery of high frequency phase of laser beam with wavefront distortion ［J］. Chinese J. Lasers, 2011, 38(4): 04020091

[16] [16] Jiang Wenhan, Wang Chunhong, Ling Ning et al.. 61 element adaptive optical system ［J］. Chinese J. Quantum Electronics, 1998, 15(2): 193～199

[17] [17] He Yuanxing, Li Xinyang. Analysis of influence of CCD′s nonlinear response characterization on measurement results of focal spot and beam quality ［J］. Chinese J. Lasers, 2012, 39(4): 04080011