[1] ZHU Y B, ZHAO D M, DU X Y. Propagation of stochastic Gaussian-Schell model array beams in turbulent atmosphere［J］. Optics Express, 2008, 16(22): 18437-18442.

[2] JI X L, LI X Q. Directionality of Gaussian array beams propagating in atmospheric turbulenc［J］. Journal of the Optical Society of America A, 2009, 26(2): 236-243.

[3] WANG T, PU J X, CHEN Z Y. Propagation of partially coherent vortex beams in a turbulent atmosphere［J］. Optical Engineering, 2008, 47(3): 036002.

[4] WANG Hai-yan, CHEN Chuan-lin, DU Jia-lei, et al. Propagation of Bessel-Gaussian beam with optical vortices in turbulent atmosphere［J］. Acta Photonica Sinica, 2013, 42(5): 505-510.

[5] HUANG Yong-ping, ZENG An-ping. Propagation properties of Hermite-Gaussian beams in Non-Kolmogorov turbulence［J］. Acta Photonica Sinica, 2012, 41(7): 818-823.

[6] FU Wen-yu, LI Gao-qing, LIU Xiao-jun. Propagation of partially coherent vortex beams in the turbulence atmosphere［J］. Acta Optica Sinica, 2009, 29(11): 2958-2962.

[7] 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.

[8] WEN C, JOSEPH W H, QIWEN Z. Propagation of vector vortex beams through a turbulent atmosphere［J］. Optics Express, 2009, 17(20): 17829-17836.

[9] JI X L, CHEN X W, L B D. Spreading and directionality of partially coherent Hermite-Gaussian beams propagating through atmospheric turbulence［J］. Journal of the Optical Society of America A, 2008, 25(1): 21-28.

[10] DOGARIU A, AMARANDE S. Propagation of partially coherent beams: turbulence-induced degradation［J］. Optics Letters, 2003, 28(1): 10-12.

[11] GBUR G, WOLF E. Spreading of partially coherent beams in random media［J］. Journal of the Optical Society of America A, 2002, 19(8): 1592-1598.

[12] LING D, LI J, CHEN J. Analysis of eigenfields in the axicon-based Bessel-Gauss resonator by the transfer-matrix method［J］. Journal of the Optical Society of America A, 2006, 23(4): 912-918.

[13] HRICHA Z, BELAFHAL A. Focal shift in the axisymmetric Bessel-modulated Gaussian beam［J］. Optics Communications, 2005, 255: 235-240.

[14] EYYUBOGLU H T. Propagation of higher order Bessel-Gaussian beams in turbulence［J］. Applied Physics B, 2007, 88: 259-265.

[15] RAO C, JIANG W, LING N. Atmospheric characterization with Shack-Hartmann wavefront sensors for non-Kolmogorov turbulenc［J］. Optical Engineering, 2002, 41(2): 534-541.

[16] ZILBERMAN A, GOLBRAIKH E, KOPEIKA N S. Propagation of electromagnetic waves in Kolmogorov and non-Kolmogorov atmospheric turbulence: three-layer altitude model［J］. Applied Optics, 2008, 47(34): 6385-6391.

[17] TOSELLI I, AGRAWAL B, RESTAINO S. Light propagation through anisotropic turbulenc［J］. Journal of the Optical Society of America A, 2011, 28(3): 483-488.

[18] RAO C, JIANG W, LING N. Spatial and temporal characterization of phase fluctuations in non-Kolmogorov atmospheric turbulenc［J］. Journal of Modern Optics, 2000, 47(6): 1111-26.

[19] DU W H, TAN L Y, MA J. Theory study on beam wander for laser beam propagation through non-Kolmogorov turbulence［J］. Acta Optica Sinica, 2008, 28(s2): 1856-1860.

[20] WOLF E. Unified theory of coherence and polarization of random electromagnetic beams［J］. Physics Letters A, 2003, 312: 263-267.

[21] SALEM M, KOROTKOVAO, DOGARIU A. Polarization changes in partially coherent electromagnetic beams propagating through atmospheric turbulence［J］. Waves Random Media, 2004, 14(4): 513-523.

[22] WU G, ZHAO T, REN J, et al. Beam propagation factor of partially coherent Hermite-Gaussian beams through non-Kolmogorov turbulence［J］. Optics and Laser Technology, 2011, 43(7): 1225-1228.

[23] JEFFREY A, ZWILLINGER D. Table of integrals, series, and products［M］. New York: Academic Press, 2007.