[1] A. P. Miguel, A. Javier, B. Eusebio. Complex beam parameter and ABCD law for non-Gaussian and nonspherical light beams ［J］. Appl. Opt., 1992, 31(30): 6389～6402

[2] J. C. Ricklin, F. M. Davidson. Atmospheric turbulence effects on a partially coherent Gaussian beam: implications for free-space laser communication ［J］. J. Opt. Soc. Am. A, 2002, 19(9): 1794～1802

[3] L. C. Andrews, R. L. Phillips. Laser Beam Propagation through Random Media, 2nd ed. ［M］. Bellingham, Washington: SPIE Press, 2005

[4] H. T. Eyyuboglu, Y. Baykal. Hermite-sine-Gaussian and Hermite-sinh-Gaussian laser beams in turbulent atmosphere ［J］. J. Opt. Soc. Am. A, 2005, 22(12): 2709～2718

[5] G. Gbur, E. Wolf Spreading of partially coherent beams in random media ［J］. J. Opt. Soc. Am. A, 2002, 19(8): 1592～1598

[6] Y. J. Cai, S. He. Propagation of various dark hollow beams in a turbulent atmosphere ［J］. Optics Express, 2006, 14(4): 1353～1367

[7] X. L. Ji, E. T. Zhang, B. D. Lü. Superimposed partially coherent beams propagating through atmospheric turbulence［J］. J. Opt. Soc. Am. B., 2008, 25(5): 825～833

[8] X. Q. Li, X. L. Ji. Angular spread and directionality of Hermite-Gaussian array beams propagating through atmospheric turbulence［J］. Applied Optics, 2009, 48(22): 4338～4347

[9] Wang Tao, Pu Jixiong. Propagation of Bessel-correlated partially coherent hollow beams in the turbulent atmosphere ［J］. Acta Physica. Sinica., 2007, 56(11): 6754～6760

[10] H. T. Eyyuboglu, Y. J. Cai, Y. Baykal. Spectral shifts of general beams in turbulent media ［J］. J. Opt. A: Pure Appl. Opt., 2008, 10: 015005

[11] Ji Xiaoling, Zhang Tao, Chen Xiaowen et al.. Spectral properties of flat-topped beams propagating through atmospheric turbulence ［J］. Acta Optica Sinica., 2008, 28(1): 12～16

[12] M. Salem, O. Korotkova, A. Dogariu et al.. Polarization changes in partially coherent electromagnetic beams propagating through turbulent atmosphere ［J］. Waves in Random Media, 2004, 14: 513～523

[13] Ji Xiaoling, Chen Sunhuei, Li Xiaoqing. Polarization properties of partially coherent electromagnetic Hermite-Gaussian beams in atmospheric turbulence ［J］. Chinese J. Lasers, 2008, 35(1): 67～72

[14] Y. Zhu, D. Zhao. Propagation of a stochastic electromagnetic Gaussian Schell-model beam through an optical system in turbulent atmosphere ［J］. Appl. Phys. B., 2009, 96: 155～160

[15] X. L. Ji, X. W. Chen, S. H. Chen et al.. Influence of atmospheric turbulence on the spatial correlation properties of partially coherent flat-topped beams ［J］. J. Opt. Soc. Am. A, 2007, 24(11): 3554～3563

[16] H. Weber. Propagation of higher-order intensity moments in quadratic-index media ［J］. Optical and Quantum Electronics, 1992, 24: 1027～1049

[17] J. Serna, R. Martinez-Herreor, P. M. Mejias. Parametric characterization of general partially coherent beams propagating through ABCD optical system ［J］. J. Opt. Soc. Am. A, 1991, 8(7): 1094～1098

[18] Y. Dan, B. Zhang. Second moments of partially coherent beams in atmospheric turbulence［J］. Opt. Lett., 2009, 34(5): 563～565