[1] L. Z. Rao, J. X. Pu. Spatial correlation properties of focused partially coherent vortex beams［J］. J. Opt. Soc. Am. A, 2007, 24(8): 2242～2247

[2] Z. Y. Chen, J. X. Pu. Stochastic electromagnetic vortex beam and its propagation［J］. Phys. Lett. A, 2008, 372(15): 2734～2740

[3] A. L. Yang, E. T. Zhang, X. L. Ji et al.. Propagation properties of partially coherent Hermite-Cosh-Gaussian beams through atmospheric turbulence［J］. Opt. Laser Technol., 2009, 41(6): 714～722

[4] Georgi Maleshkov, Dragomir N. Neshev, Alexander Dreischuh. Nonlinear beam steering by fractional vortex dipoles［J］. Phys. Rev. A, 2009, 80(5): 053828

[5] M. Babiker, C. R. Bennett, D. L. Andrews et al.. Orbital angular momentum exchange in the interaction of twisted light with molecules［J］. Phys. Rev. Lett., 2002, 89(14): 143601

[6] Lu Xuanhui, Huang Huiqin, Zhao Chenliang et al.. Optical vortex beams and optical votex［J］. Laser & Optoelectron. Progress, 2008, 45(1): 50～56

[7] Wu Huiyun, Huang Zhihe, Wu Wuming et al.. Analysis of Gaussian-vortex beam and its application in a relay mirror system［J］. Acta Optica Sinica, 2011, 31(4): 0414002

[8] Liu Yongxin, Chen Ziyang, Pu Jixiong. Diffraction characteristics of vortex beams by a fork-shaped grating［J］. Chinese J. Lasers, 2011, 38(3): 0302012

[9] Zhao Zhaoxiong, Liu Yong. Effect of primary coma aberration on focusing of a circularly polarized vortex Bessel-Gaussian beams［J］. Chinese J. Lasers, 2010, 37(3): 739～742

[10] Liang Chongqing, Tang Zhilie, Guo Lina. Effect of primary spherical aberration on tight focusing of elliptically polarized vortex beams［J］. Acta Optica Sinica, 2010, 30(11): 3317～3322

[11] Li Hailian, Yang Dexing, Ren Xiaoyuan et al.. Experimental investigation of optical vortex generated by volume holography［J］. Acta Optica Sinica, 2010, 31(2): 503～507

[12] L. Mandel, E. Wolf. Optical Coherence and Quantum Optics［M］. Cambridge: Cambridge University Press, 1995. 289