[1] Flatté S M, Martin J, Wang G Y. Irradiance variance of optical waves through atmospheric turbulence by numerical simulation and comparison with experiment[J]. Journal of the Optical Society of America A, 10, 2363-2370(1993). http://www.opticsinfobase.org/abstract.cfm?uri=josaa-10-11-2363
[2] Qian X, Zhu W, Rao R. Intensity distribution properties of Gaussian vortex beam propagation in atmospheric turbulence[J]. Chinese Physics B, 24, 202-206(2015). http://kns.cnki.net/KCMS/detail/detail.aspx?filename=zgwl201504029&dbname=CJFD&dbcode=CJFQ
[3] Martin J M, Flatté S M. Simulation of point-source scintillation through three-dimensional random media[J]. Journal of the Optical Society of America A, 7, 838-847(1990). http://www.opticsinfobase.org/abstract.cfm?URI=josaa-7-5-838
[4] Coles W A, Filice J P, Frehlich R G et al. Simulation of wave propagation in three-dimensional random media[J]. Applied Optics, 34, 2089-2101(1995). http://www.opticsinfobase.org/abstract.cfm?uri=ao-34-12-2089
[5] Wu Huiyun, Chen Jinbao, Sun Zhenhai. Analysis of beam propagation through a relay mirror system in turbulent atmosphere[J]. Chinese J Lasers, 40, 0213001(2013).
[6] Yang Ting, Ji Xiaoling. Regions of spreading of laser beams propagating through non-Kolmogorov atmospheric turbulence[J]. Acta Optica Sinica, 35, 0501001(2015).
[7] Li Yan, Qi Jun, Chen Feinan. Propagation quality of laser diode beam in anisotropic non-Kolmogorov atmospheric turbulence[J]. Acta Optica Sinica, 37, 0701003(2017).
[8] Roddier N A. Atmospheric wavefront simulation and Zernike polynomials[C]. SPIE, 1237, 668-679(1990).
[9] Noll R J. Zernike polynomials and atmospheric turbulence[J]. Journal of the Optical Society of America, 66, 207-211(1976). http://www.opticsinfobase.org/josa/abstract.cfm?uri=josa-66-3-207
[10] Xian Hao, Jiang Wenhan. The relation between wave front aberration and the beam quality factor[J]. Chinese J Lasers, 26, 415-419(1999).
[11] Li Xinyang, Xian Hao, Wang Chunhong et al. Relationship between beam quality factor β and wave front error[J]. Chinese J Lasers, 32, 798-802(2005).
[12] Dai G M, Mahajan V N. Zernike annular polynomials and atmospheric turbulence[J]. Journal of the Optical Society of America A, 24, 139-155(2007). http://www.opticsinfobase.org/abstract.cfm?URI=josaa-24-1-139
[13] Ye Hongwei, Li Xinyang, Xian Hao et al. Relationship between Zernike wavefront errors and beam quality factor β for optics system[J]. Chinese J Lasers, 36, 1420-1427(2009).
[14] He Yuanxing, Mu Baili, Li Jian et al. Relationship between Gaussian beam quality and wavefront aberration[J]. Laser Technology, 38, 747-752(2014).
[15] Tatarski V I[M]. Wave propagation in a turbulent medium, 109-120(1978).
[16] Goodman J W[M]. Statistical optics, 354-363(1992).
[17] Martin J M, Flatté S M. Intensity images and statistics from numerical simulation of wave propagation in 3-D random media[J]. Applied Optics, 27, 2111-2126(1988). http://europepmc.org/abstract/med/20531725
[18] Rao Ruizhong[M]. Light propagation in the turbulent atmosphere, 93-101(2005).
[19] Zhang Jianzhu, Zhang Feizhou, Wu Yi. Methods for simulating turbulent phase screen[J]. High Power Laser and Particle Beams, 24, 2318-2324(2012).
[20] Fleck J A, Morris J R, Feit M D. Time-dependent propagation of high energy laser beams through the atmosphere[J]. Applied Physics A: Materials Science & Processing, 10, 129-160(1976). http://link.springer.com/article/10.1007/BF00896333
[21] Frehlich R. Simulation of laser propagation in a turbulent atmosphere[J]. Applied Optics, 39, 393-397(2000). http://europepmc.org/abstract/MED/18337906
[22] Fante R L. Electromagnetic beam propagation in turbulent media[J]. Proceedings of IEEE, 63, 1669-1692(1975). http://ieeexplore.ieee.org/iel5/5/31295/01456150.pdf
[23] Qian Xianmei, Rao Ruizhong. Spatial distribution of Gaussian-beam scintillation in atmosphere by numerical simulation[J]. Chinese Journal of Quantum Electronics, 23, 320-324(2006).
[24] Flatté S M, Bracher C, Wang G Y. Probability-density functions of irradiance for waves in atmospheric turbulence by numerical simulation: Erratum[J]. Journal of the Optical Society of America A, 11, 2080-2092(1995). http://www.opticsinfobase.org/josaa/abstract.cfm?uri=josaa-12-1-184
