[1] [1] M. S. Soskin, M.V. Vasnetsov. A comprehensive review of optical vortices[J]. Progress in Optics, 2001, 42: 219～276

[2] [2] J. F. Nye, M. V. Berry. Dislocations in wave trains[J]. Proc. Roy. Soc. (London A), 1974, 336(1605): 165～190

[3] [3] G. Gbur, T. D. Visser, E. Wolf. Anomalous behavior of spectra near phase singularities of focused waves[J]. Phys. Rev. Lett., 2002, 88(1): 013901～013904

[4] [4] K. T. Gahagan, G. A. Swartzlander. Optical vortex trapping of particles[J]. Opt. Lett., 1996, 21(11): 827～829

[5] [5] J. Arlt, T. Hitomi, K. Dholakia. Atom guiding along Laguerre-Gaussian and Bessel light beams[J]. Appl. Phys. B, 2000, 71(4): 549～554

[6] [6] F. Gori, M. Sanatarsiero, R. Borghi et al.. Partially coherent sources with helicoidal modes[J]. J. Mod. Opt., 1998, 45(3): 539～554

[7] [7] S. A. Ponomarenko, J. Perina. A class of partially coherent beams carrying optical vortices[J]. J. Opt. Soc. Am. A, 2001, 18(1): 150～156

[8] [8] Z. Bouchal, J. Perina. Non-diffracting beams with controlled spatial coherence[J]. J. Mod. Opt., 2002, 49(10): 1673～1689

[9] [9] G. V. Bogatyryova, C. V. Fel′de, P. V. Ployanskii et al.. Phase singularities of the coherence functions in Young′s interference pattern[J]. Opt. Lett., 2003, 28(12): 968～970

[10] [10] Chen Ziyang, Zhang Guowen, Rao Lianzhou et al.. Determining the orbital angular momentum of vortex beam by Young′s double-slit interference experiment[J]. Chinese J. Lasers, 2008, 35(7): 1063～1067

[11] [11] Lu Xuanhui, Huang Huiqin, Zhao Chengliang et al.. Optical vortex beams and optical vortices[J]. Laser & Optoelectronics Progress, 2008, 45(1): 50～56

[12] [12] E. Wolf. Unified theory of coherence and polarization of random electromagnetic beams[J]. Phys. Lett. A, 2003, 312(5～6): 263～267

[13] [13] E. Wolf. Correlation-induced changes in the degree of polarization, the degree of coherence, and the spectrum of random electromagnetic beams on propagation[J]. Opt. Lett., 2003, 28(13): 1078～1080

[14] [14] L. Mandel, E. Wolf. Optical Coherence and Quantum Optics[M]. Cambridge: Cambridge University Press, 1995. 186～193

[15] [15] D. M. Palacios, I. D. Maleev, A. S. Marathay et al.. Spatial correlation singularity of a vortex field[J]. Phy. Rev. Lett., 2004, 92(14): 143905～143908

[16] [16] Rao Liaozhou, Pu Jixiong. Focusing of partially coherent vortex beams by an aperture lens[J]. Chin. Phys. Lett., 2007, 24(5): 1252～1255