[1] NYE J F, BERRY M V. Dislocations in wave trains[J]. Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences, 1974, 336(1605): 165-190.
[2] SCHWARZ U T, SOGOMONIAN S, MAIER M. Propagation dynamics of phase dislocations embedded in a Bessel light beam[J]. Optics Communications, 2002, 208(4): 255-262.
[3] KIVSHAR Y S, OSTROVSKAYA E A. Optical vortices folding and twisting waves of light[J]. Optics and Photonics News, 2001, 12(4): 24-28.
[4] SOSKIN M S, GORSHKOV V N, VASNETSOV M V, et al. Topological charge and angular momentum of light beams carrying optical vortices [J]. Physical Review A, 1997, 56(5): 4064-4075.
[5] LEACH J, PADGETT M J, BARNETT S M, et al. Measuring the orbital angular momentum of a single photon[J]. Physical Review Letters, 2002, 88(25): 257901-257901.
[6] NG J, LIN Z, CHAN C T. Theory of optical trapping by an optical vortex beam[J]. Physical Review Letters, 2010, 104(10): 103601.
[7] VERBEECK J, TIAN H, SCHATTSCHNEIDER P. Production and application of electron vortex beams[J]. Nature, 2010, 467(7313): 301-304.
[8] ELECHOVSKY R, BOUCHAL Z. Optical implementation of the vortex information channel[J]. New Journal of Physics, 2007, 9(9): 328-340.
[9] SWARTZLANDER G A. Obtaining spatial information from an extremely unresolved source[J]. Optics Letters, 2011, 36(24): 4731-4733.
[10] GUO Jian-jun, GUO Bang-hong, CHENG Guang-ming, et al. Research progress on photon orbital angular momentum in quantum communication applications[J]. Laser & Optoelectronics Progress, 2012, 49(8): 080003.
[11] LV Fang-jie, JIN Wei-hua, LI Xin-zhong, et al.. Micro in-plane displacement measurement using digital speckle correlation method based on phase vortices[J]. Journal of Optoelectronics·Laser, 2013, 24(11): 2180-2185.
[12] HERMO E, SPEKTOR B, SHAMIR J. Scattering of singular beams by subwavelength objects[J]. Applied Optics, 2011, 50(1): 33-42.
[13] BEIJERSBERGEN M W, ALLEN L, VANDERVEEN H, et al. Astigmatic laser mode converters and transfer of orbital angular-momentum[J]. Optics Communications, 1993, 96(1-3): 123-132.
[14] ARLT J, DHOLAKIA K. Generation of high-order Bessel beams by use of an axicon[J]. Optics Communications, 2000, 177(1-6): 297-301.
[15] NAM H A, COHEN M G, NO J W. A simple method for creating a robust optical vortex beam with a single cylinder lens[J]. Journal of Optics, 2011, 13(6): 1-5.
[16] ROTSCHILD C, ZOMMER S, MOED S, et al. Adjustable spiral phase plate[J]. Applied Optics, 2004, 43(12): 2397-2399.
[17] GUO C, XUE D, HAN Y, et al. Optimal phase steps of multi-level spiral phase plates[J]. Optics Communications, 2006, 268(2): 235-239.
[18] YUAN X C, LIN J, BU J. Achromatic design for the generation of optical vortices based on radial spiral phase plates[J]. Optics Express, 2008, 16(18): 13599-13605.
[19] HECKENBERG N R, MCDUFF R, SMITH C P, et al. Generation of optical phase singularities by computer-generated holograms[J]. Optics Letters, 1992, 17(3): 221-223.
[21] BEKSHAEV A Y, SVIRIDOVA S V, POPOV A Y, et al. Generation of optical vortex light beams by volume holograms with embedded phase singularity[J]. Optics Communications, 2012, 285(20): 4005-4014.
[22] CURTIS J E, GRIER D G. Structure of optical vortices[J]. Physical Review Letters, 2003, 90(13): 133901-133904.
[23] LIU Y J, SUN X W, LUO D, et al. Generating electrically tunable optical vortices by a liquid crystal cell with patterned electrode[J]. Applied Physics Letters, 2008, 92(10): 101114.
[24] BO Bin, Menke Neimule, ZHAO Jian-lin, et al. Generation of vortex beams with a reflected type phase only LCSLM[J]. Journal of Optoelectronics· Laser, 2012, 23(1): 74-78.
[25] OSTROVSKY A S, RICKENSTORFF-PARRAO C, ARRIZóN V. Generation of the “perfect” optical vortex using a liquid-crystal spatial light modulator[J]. Optics Letters, 2013, 38(4): 534-536.
[26] BALISTRERI M L M, KORTERIK J P, KUIPERS L, et al. Local observations of phase singularities in optical fields in waveguide structures[J]. Physical Review Letters, 2000, 85(2): 294-297.
[27] JENKINS R M, BANERJI J, DAVIES A R. The generation of optical vortices and shape preserving vortex arrays in hollow multimode waveguides[J]. Journal of Optics A: Pure and Applied Optics, 2001, 3(6): 527-532.
[28] YIRMIYAHU Y, NIV A, BIENER G, et al. Vectorial vortex mode transformation for a hollow waveguide using Pancharatnam-Berry phase optical elements[J]. Optics Letters, 2006, 31(22): 3252-3254.
[29] ORON R, BLIT S, DAVIDSON N, et al. The formation of laser beams with pure azimuthal or radial polarization[J]. Applied Physics Letters, 2000, 77(21): 3322-3324.
[30] ORON R, DAVIDSON N, FRIESEM A, et al. Efficient formation of pure helical laser beams[J]. Optics Communications, 2000, 182(1-3): 205-208.
[31] CHU S C, OHTOMO T, OTSUKA K. Generation of doughnut like vortex beam with tunable orbital angular momentum from lasers with controlled Hermite-Gaussian modes[J]. Applied Optics, 2008, 47(14): 2583-2591.
[32] GAO Hong-fang, REN Yu-xuan, LIU Wei-wei, et al. Rotation dynamics of yeast cell in vortex optical tweezers[J]. Chinese Journal of Lasers, 2011, 38(4): 0404002.
[34] SUN Ping, FAN Xiang-ju, WANG Xing-hai. Three-dimensional electronic speckle pattern interferometry with carrier modulation by using large-shearing block prism[J]. Acta Optica Sinica, 2011, 31(4): 0412012.
[35] SUN Ming-yong, CAI Kang, YANG De-yu, et al. Three-dimensional deformation measurement with the combination of DSCM and ESPI[J]. Laser & Optoelectronics Progress, 2012, 49(11): 122-127.
[36] LI Ming-yue, CHEN Zi-yang, LIU Hui, et al. Generation and interference of vortex beams[J]. Acta Physica. Sinica, 2010, 59(3): 1740-1748.
[37] CAI Chang-qing, HE Ling-feng. Phase difference extraction based on four-step phase shifting[J]. Journal of South China University of Technology: Natural Science Edition, 2011, 29(9): 93-96.