[1] [1] Allen L., Beijersbergen M., Spreeuw R. et al.. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes［J］. Phys. Rev. A., 1992, 45(11): 8185～8189

[2] [2] Wang Hao, Yang Dexing, Gan Xuetao et al.. Analysis of interference of planar vortex beams［J］. Acta Optica Sinica, 2009, 29(2): 517～522

[3] [3] Fu Wenyu, Li Gaoqing, Liu Xiaojun. Propagation of partially coherent vortex beams in the turbulent atmosphere［J］. Acta Optica Sinica, 2009, 29(11): 2958～2962

[4] [4] Bouchal Z., Celechovsky R.. Mixed vortex states of light as information carriers［J］. New J. Phys., 2004, 6(1): 131～133

[5] [5] Simpson N., Dholakia K., Allen L. et al.. Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner［J］. Opt. Lett., 1997, 22(1): 52～54

[6] [6] Liu Yidong, Gao Chunqing, Gao Mingwei et al.. Realizing high density optical data storage by using orbital angular momentum of light beam［J］. Acta Physica Sinica, 2007, 56（2）: 854～858

[7] [7] Gibson G., Courtial J., Padgett M. J. et al.. Free-space information transfer using light beams carrying orbital angular momentum［J］. Opt. Express, 2004, 12(22): 5448～5456

[8] [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] [9] L. E. Helseth. Optical vortices in focal regions［J］. Opt. Commun., 2004, 229(1～6): 85～91

[10] [10] G. Gbur, T. D. Visser. Phase singularities and coherence vortices in linear optical systems［J］. Opt. Commun., 2006, 259(2): 428～435

[11] [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] [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] [13] Q. Xie, D. Zhao. Optical vortices generated by multi-level achromatic spiral phase plates for broadband beams［J］. Opt. Commu., 2008, 281(1): 7～11

[14] [14] G. C. G. Berkhout, M. W. Beijersbergen. Method for probing the orbital angular momentum of optical vortices in electromagnetic waves from astronomical objects［J］. Phys. Rev. Lett., 2008, 101(10): 100801

[15] [15] Cheng K, Lu B. D.. Spatial correlation properties and correlation vortices of partially coherent vortex beams diffracted by an aperture［J］. J. Mod. Opt., 2009, 56（9）: 1119～1127

[16] [16] Collins J. R., Stuart A.. Lens-system diffraction integral written in terms of matrix optics［J］. J. Opt. Soc. Am, 1970, 60(9): 1168～1177