[1] L Allen, M W Beijersbergen, R J Spreeuw, et al.. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes [J]. Phys Rev A, 1992, 45(7): 8185-8189.
[2] S M Barnett, L Allen. Orbital angular momentum and nonparaxial light beams [J]. Opt Commun, 1994, 110(3): 679-688.
[3] J M Vaughan, D V Willetts. Interference properties of a light beam having a helical wave surface [J]. Opt Commun, 1979, 30(3): 263-267.
[4] L Allen, M J Padgett, M Babiker. The orbital angular momentum of light [J]. Progress in Optics, 1999, 54(5): 291-372.
[5] M J Padgett, J Courtial, L Allen. Light′s orbital angular momentum [J]. Phys Today, 2004, 57(5): 35-40.
[6] Liu Man. Novel method to detect the orbital angular momentum in optical vortex beams [J]. Acta Optica Sinica, 2012, 33(3): 0326002.
[7] Guo Jianjun, Guo Banghong, Cheng Guangming, et al.. Research progress on photon orbital angular momentum in quantum communication applications [J]. Laser & Optoelectronics Progress, 2012, 49(8): 080003.
[8] H He, M E J Friese, N R Heckenberg, et al.. Direct observation of transfer of angular momentum to absorptive particles from a laser beam with a phase singularity [J]. Phys Rev Lett, 1995, 75(9): 826-829.
[9] N B Simpson, K Dholakia, L Allen, et al.. Mechanical equivalence of spin and orbital angular momentum of light: an optical spanner [J]. Opt Lett, 1997, 22(6): 53-54.
[10] N B Simpson, L Allen, M J Padgen. Optical tweezers and optical spanners with Laguerre-Gaussian modes [J]. J Modem Optics, 1996, 43(12): 2485-2491.
[11] G Gibson, J Courtial, M J Padgett, et al.. Free-space information transfer using light beams carrying orbital angular momentum [J]. Opt Express, 2004, 12(22): 5448-5456.
[12] G Gouesbet, B Maheu, G Grehan. Light scattering from a sphere arbitrarily located in a Gaussian beam, using a Bromwich formulation [J]. Opt Soc Am A, 1988, 5(9): 1427-1443.
[13] C A Primmerman, T R Price, R A Humphreys, et al.. Atmospheric-compensation experiments in strong scintillation conditions [J]. Appl Opt, 1995, 34(10): 2081-2088.
[14] V V Voitsekhovich, D Kouznetsov, D K Morozov. Density of turbulence-induced phase dislocations [J]. Appl Opt, 1998, 37(21): 4525-4535.
[15] G Lixin, W Zhensen. Rainbow scattering by an inhomogeneous cylinder with an off-axis Gaussian beam incidence at normal [J]. IR and Mill Waves, 2000, 21(12): 1879-1886.
[16] Liu Jun, Wu Pengli, Gao Ming. Wander and spreading of polarized and partially coherent laser propagation on slant path in turbulence atmospheric [J]. Chinese J Lasers, 2012, 39(10): 1031001.
[17] Li Fang. Propagtion characteristics of optical vortices beam in intermediate fluctuation turbulent atmosphere [J]. Laser & Optoelectronics Progress, 2013, 50(7): 070101.
[18] G Gbur. The evolution of vortex beams in atmospheric turbulence [C]. SPIE, 2008, 6878: 687804.
[19] Alipasha Vaziri, Gregor Weihs, Anton Zeilinger. Experimental two-photon, three-dimensional entanglement for quantum communication [J]. Phys Rev Lett, 2002, 89(24): 240401.
[20] Alois Mair, Alipasha Vaziri, Gregor Weihs. Entanglement of the orbital angular momentum states of photons [J]. Nature, 2001, 41(2): 313-316.
[21] H I Sztul, R R Alfano. Double-slit interference with Laguerre-Gaussian beams [J]. Opt Lett, 2006, 31(7): 999-1001.
[22] Devinder Pal Ghai, P Senthilkumaran, R S Sirohi. Single-slit diffraction of an optical beam with phase singularity [J]. Optics and Lasers in Engineering, 2009, 35(23): 123-126.
[23] L Torner, J P Torres, S Carrasco. Digital spiral imaging [J]. Opt Express, 2005, 13(3): 873-881.
[24] I S Gradshteyn, I M Ryzhik. Table of Integrals, Series and Products [M]. Salt Lake City: Academic Press, 2007. 340.