[1] L. C. Andrews, R. L. Phillips. Laser Beam Propagation through Random Media [M]. Bellingham, Wash: SPIE Press, 1998
[2] J. Wu, Propagation of a Gaussian-Schell beam through turbulent media [J]. J. Mod. Opt., 1990, 37(4):671~684
[3] J. Wu, A. D. Boardman. Coherence length of a Gaussian-Schell beam and atmospheric turbulence [J]. J. Mod. Opt., 1991, 38(7):1355~1363
[4] H. T Eyyubolu, A. Arpali, Y. Baykal. Flat topped beams and their characteristics in turbulent media [J]. Opt. Express, 2006, 14:4197~4207
[5] Y. Baykal, H. T. Eyyubolu. Scintillation index of flat-topped Gaussian beams [J]. Appl. Opt., 2006, 45(16):3793~3797
[6] H. T. Eyyubolu, Y. Baykal. Analysis of reciprocity of cos-Gaussian and cosh-Gaussian laser beams in a turbulent atmosphere [J]. Opt. Express, 2004, 12(20):4659~4674
[7] Ji Xiaoling, Huang Taixing, Lü Baida. Spreading of partially coherent cosh-Gaussian beams propagating through turbulent atmosphere [J]. Acta Physica Sinica, 2006, 55(2):978~982
[8] V. Garcés-Chávez, K. Dholakia, W. M. Lee. Interference from multiple trapped colloids in an optical vortex beam [J]. Opt. Express, 2006, 14(16):7436~7446
[9] L. E. Helseth. Optical vortices in focal regions [J]. Opt. Commun., 2004, 229:85~91
[10] G. Gbur, T. D. Visser. Phase singularities and coherence vortices in linear optical systems [J]. Opt. Commun., 2006, 259(2):428~435
[11] L. Rao, J. Pu. Focusing of partially coherent vortex beams by an aperture lens [J]. Chin. Phys. Lett., 2007, 24(5):1252~1255
[12] G. Gbur, R. K. Tyson. Vortex beam propagation through atmospheric turbulence and topological charge conservation [J]. J. Opt. Soc. Am. A, 2008, 25(1):225~230
[13] Q. Xie, D. Zhao. Optical vortices generated by multi-level achromatic spiral phase plates for broadband beams [J]. Opt. Commun., 2008, 281(1):7~11
[14] X. Y. Du, D. M. Zhao, O. Korotkova. Changes in the statistical properties of stochastic anisotropic electromagnetic beams on propagation in the turbulent atmosphere [J]. Opt. Express, 2007, 15(25):16909~16915
[15] I. S. Gradsteyn, I. M. Ryzhik. Tables of Integrals, Series and Products [M]. Academic Press, 2000