[1] [1] CULLET P, GIL L, ROCCA F. Optical vortices［J］.Optical Communication, 1989, 73: 403-408.

[2] [2] KIVSHAR Y S, OSTROVSKAVA E A. Optical vortices: folding and twisting waves of light［J］.Optical Photonics News, 2001, 12(4): 24-28.

[3] [3] DENNIS M R, HOLLERAN K O and PADGETT M J. Singular optics: optical vortices and polarization singularities［J］.Progress in Optics, 2009, 53: 293-363.

[4] [4] ALLEN L, BEIJERSBERGEN M W, WOERDMAN J P. Orbital angular momentum of light and the transformation of Laguerre–Gaussian laser modes［J］.Physical Review A, 1992, 45(11): 8185-8189.

[5] [5] SWARTZLANDER G A, LAW C T. Optical vortex solitons observed in Kerr nonlinear media［J］.Physical Review Letter, 1992, 69(17): 2503-2506.

[6] [6] DESYATNIKOV A S, KIVSHAR Y S, TORNER L. Optical vortices and vortex solitons［J］. Progress in Optics, 2005, 47: 291-391.

[7] [7] GAN X T, ZHANG P, LIU S, et al. Stabilization and breakup of optical vortices in presence of hybrid nonlinearity［J］. Optical Express, 2009, 17(25): 23130-23136.

[8] [8] GAN X T, ZHANG P, LIU S, et al. Solitary wave evolution of optical planar vortices in self-defocusing photorefractive media［J］. Chinese PhysicsLetters, 2008, 25(9): 3280-3286.

[9] [9] ROZAS D, SACKS Z, SWARTZLANDER G. Experimental observation of fluidlike motion of optical vortices［J］. Physical Review Letter,1997, 79: 3399-3402.

[10] [10] GAN X, ZHAO J, LIU S, et al. Generation and motion control of optical multi-vortex［J］. Chinese Optics Letters, 2009, 7(12): 1142-1145.

[11] [11] CHENG Ke, XIANG An-ping, ZHONG Xian-qiong.Evolution of phase singularities of flat-topped vortex beam diffracted by an aperture［J］. Acta Photonic Sinica, 2012, 41(8): 936-945.

[12] [12] WANG Hai-yan, CHEN Chuan-lin, DU Jia-lei, et al.Propagation of besselgaussian beam with optical vortices in turbulent atmosphere［J］.Acta Photonic Sinica, 2013, 42(5): 505-510.

[13] [13] DHOLAKIA K, CIZMAR T. Shaping the future of manipulation［J］. Nature Photonics, 2011, 5(6): 335-342.

[14] [14] ZHOU Ye-peng, REN Hong-liang, WANG Juan, et al. Comparative analysis of the trapping force using laguerre-gaussian beam and Gaussian beam［J］. Acta Photonica Sinica, 2013, 42(11): 1300-1304.

[15] [15] DJORDJEVIC I B. Deep-space and near-Earth optical communications by coded orbital angular momentum (OAM) modulation［J］. Optics Express, 2011, 19(150): 14277-14289.

[16] [16] LEACH J, JACK B, ROMERO J, et al. Quantum correlations in optical angle-orbital angular momentum variables［J］. Science, 2010, 329(5992): 662-665.

[17] [17] DONG Liang-wei, YE Fang-wei, WANG Jian-dong, et al. Interaction between optical vortices carrying opposite topological charges［J］. Chinese Physics B, 2004, 53(10): 3353-3357.

[18] [18] FENG Bo, GAN Xue-tao, LIU Sheng, et al. Transformation of multi-edge-dislocations to screw-dislocations in optical field［J］. Chinese Physics B, 2011, 60(9): 94203-94206.

[19] [19] MAMAEV A, SAFFMAN M, ZOZILYA A. Decay of high order optical vortices in anisotropic nonlinear optical media［J］. Physical Review Letter, 1997, 78: 2108-2111.

[20] [20] KIMEL I, ELIAS L. Relations between Hermite and Laguerre-Gaussian modes［J］.Quantum Electronics, IEEE Journal of, 1993, 29(9): 2562-2566.

[21] [21] NEIL A T, COURTIAL J. Mode transformations in terms of the constituent Hermite-Gaussian or Laguerre-Gaussian modes and the variable-phase mode converter［J］. Optical Communication, 2000, 181: 35-40.