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¡¡Yuan Xiaocong,Jia Ping,Lei Ting,et al.Optical vortices and optical communication with orbital angular momentum[J].Journal of Shenzhen University Science and Engineering,2014,31(No.4(331-440)):331-346.[doi:10.3724/SP.J.1249.2014.04331]

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£Û1£Ý Pismen L M. Vortices in nonlinear fields£ÛM£Ý. Oxford(UK): Oxford Science Publications,1999: 101-123.
£Û2£Ý Nye J F, Berry M V. Dislocations in wave trains£ÛJ£Ý. Proceedings of the Royal Society A, 1974, 336(1605): 165-190.
£Û3£Ý Allen L, Padgett M, Babiker M. The orbital angular momentum of light£ÛJ£Ý. Progress in Optics, 1999, 39: 291-372.
£Û4£Ý Allen L, Barnett S M, Padgett M J. Optical angular momentum£ÛM£Ý. London: Institute of Physics Publishing, 2003.
£Û5£Ý Allen L, Beijersbergen M W, Spreeuw R J C, et al. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes£ÛJ£Ý. Physical Review A, 1992, 45(11): 8185-8189.
£Û6£Ý Mair A, Vaziri A, Weihs G, et al. Entanglement of the orbital angular momentum states of photons£ÛJ£Ý. Nature, 2001, 412(6844):313-316.
£Û7£Ý Molina-Terriza G, Torres J P, Torner L. Twisted photons£ÛJ£Ý. Nature Physics, 2007, 3(5): 305-310.
£Û8£Ý Siegman A E. Lasers£ÛM£Ý. Sausalito(USA): University Science Books, 1986.
£Û9£Ý Molina-Terriza G, Torres J P, Torner L. Management of the angular momentum of light: preparation of photons in multidimensional vector states of angular momentum£ÛJ£Ý. Physical Review Letters, 2002, 88(1): 013601-1-013601-4.
£Û10£Ý Gibson G, Courtial J, Padgett M J. Free-space information transfer using light beams carrying orbital angular momentum£ÛJ£Ý. Optics Express, 2004, 12(22): 5448-5456.
£Û11£Ý Gibson G, Courtial J, Vasnetsov M, et al. Increasing the data density of free-space optical communications using orbital angular momentum£ÛJ£Ý. Proceedings of SPIE, 2004, 5550: 367-373.
£Û12£Ý Bouchal Z, Celechovsk§ö R. Mixed vortex states of light as information carriers£ÛJ£Ý. New Journal of Physics, 2004, 6(1): 131-1-131-15.
£Û13£Ý Beijersbergen M W, Coerwinkel R, Kristensen M, et al. Helical-wavefront laser beams produced with a spiral phase plate£ÛJ£Ý. Optics Communications, 1994, 112(5/6): 321-327.
£Û14£Ý Kolobov M I. Quantum imaging£ÛM£Ý. New York(USA): Springer, 2007.
£Û15£Ý Yao A M, Padgett M J. Orbital angular momentum: origins, behavior and applications£ÛJ£Ý. Advances in Optics and Photonics, 2011, 3(2): 161-204.
£Û16£Ý Durnin J, Miceli J J Jr, Eberly J. Diffraction-free beams£ÛJ£Ý. Physical Review Letters, 1987, 58(15): 1499-1501.
£Û17£Ý Gutierrez-Vega J, Iturbe-Castillo M, Chavez-Cerda S. Alternative formulation for invariant optical fields: Mathieu beams£ÛJ£Ý. Optics Letters, 2000, 25(20): 1493-1495.
£Û18£Ý Gonzalez N, Molina-Terriza G, Torres J. How a Dove prism transforms the orbital angular momentum of a light beam£ÛJ£Ý. Optics Express, 2006, 14(20): 9093-9102.
£Û19£Ý Heckenberg N R, McDuff R, Smith C P, et al. Generation of optical phase singularities by computer-generated holograms£ÛJ£Ý. Optics Letters, 1992, 17(3): 221-223.
£Û20£Ý Marrucci L, Manzo C, Paparo D. Optical spin-to-orbital angular momentum conversion in inhomogeneous anisotropic media£ÛJ£Ý. Physical Review Letters, 2006, 96(16): 163905-1-163905-4.
£Û21£Ý Biener G, Niv A, Kleiner V, et al. Formation of helical beams by use of Pancharatnam-Berry phase optical elements£ÛJ£Ý. Optics Letters, 2002, 27(21): 1875-1877.
£Û22£Ý Yu N, Genevet P, Kats M A, et al. Light propagation with phase discontinuities: generalized laws of reflection and refraction£ÛJ£Ý. Science, 2011, 334(6054): 333-337.
£Û23£Ý Basistiy I V, Bazhenov V Y, Soskin M S, et al. Optics of light beams with screw dislocations£ÛJ£Ý. Optics Communications, 1993, 103(5): 422-428.
£Û24£Ý Harris M, Hill C A, Tapster P R, et al. Laser modes with helical wave fronts£ÛJ£Ý. Physical Review A, 1994, 49(4): 3119-3122.
£Û25£Ý Soskin M S, Gorshkov V N, Vasnetsov M V, et al. Topological charge and angular momentum of light beams carrying optical vortices£ÛJ£Ý. Physical Review A, 1997, 56(5): 4064-4075.
£Û26£Ý Courtial J, Robertson D A, Dholakia K, et al. Rotational frequency shift of a light beam£ÛJ£Ý. Physical Review Letters, 1998, 81(22): 4828-4830.
£Û27£Ý Basistiy I V, Slyusar V V, Soskin M S, et al. Manifestation of the rotational Doppler effect by use of an off-axis optical vortex beam£ÛJ£Ý. Optics Letters, 2003, 28(14): 1185-1187.
£Û28£Ý Leach J, Padgett M J, Barnett S M, et al. Measuring the orbital angular momentum of a single photon£ÛJ£Ý. Physical Review Letters, 2002, 88(25): 257901-1-257901-4.
£Û29£Ý Leach J, Courtial J, Skeldon K, et al. Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon£ÛJ£Ý. Physical Review Letters, 2004, 92(1): 013601-1-013601-4.
£Û30£Ý Guo Chengshan, Yue ShuJuan, Wei Gongxing. Measuring the orbital angular momentum of optical vortices using a multipinhole plate£ÛJ£Ý. Applied Physics Letters, 2009, 94(23): 231104-1-231104-3.
£Û31£Ý Berkhout G C G, Lavery M P J, Courtial J, et al. Efficient sorting of orbital angular momentum states of light£ÛJ£Ý. Physical Review Letters, 2010, 105(15): 153601-1-153601-4.
£Û32£Ý Lavery M P J, Berkhout G C G, Courtial J, et al. Measurement of the light orbital angular momentum spectrum using an optical geometric transformation£ÛJ£Ý. Journal of Optics, 2011, 13(6): 064006-1-064006-4.
£Û33£Ý Lavery M P J, Robertson D J, Berkhout G C G, et al. Refractive elements for the measurement of the orbital angular momentum of a single photon£ÛJ£Ý. Optics Express, 2012, 20(3): 2110-2115.
£Û34£Ý Lavery M P J, Robertson D J, Sponselli A, et al. Efficient measurement of an optical orbital-angular-momentum spectrum comprising more than 50 states£ÛJ£Ý. New Journal of Physics, 2013, 15(1): 013024-1-013024-7.
£Û35£Ý Chen Jun, Zhao Xing, Fang Zhiliang, et al. Modified optical vortices for encoding topological charges with principal-sidelobe ring relationships£ÛJ£Ý. Optics Letters, 2010, 35(9): 1485-1487.
£Û36£Ý Guo Chengshan, Liu Xuan, He Jingliang, et al. Optimal annulus structures of optical vortices£ÛJ£Ý. Optics Express, 2004, 12(19): 4625-4634.
£Û37£Ý Jia P, Yang Y, Min C J, et al. Sidelobe-modulated optical vortices for free-space communication£ÛJ£Ý. Optics Letters, 2013, 38(4): 588-590.
£Û38£Ý Liu Max Ming Kang. Principles and applications of optical communications£ÛM£Ý. Chicago(USA): Irwin, 1996.
£Û39£Ý Proakis J G. Digital communication£ÛM£Ý. New York (USA): McGraw-Hill, 2000.
£Û40£Ý Liu Yidong, Gao Chunqing, Gao Mingwei, et al. Superposition and detection of two helical beams for optical orbital angular momentum communication£ÛJ£Ý. Optics Communications, 2008, 281(14): 3636-3639.
£Û41£Ý Lin J, Yuan X C, Tao S H, et al. Multiplexing free-space optical signals using superimposed collinear orbital angular momentum states£ÛJ£Ý. Applied Optics, 2007, 46(21): 4680-4685.
£Û42£Ý Wang Z X, Zhang N, Yuan X C. High-volume optical vortex multiplexing and de-multiplexing for free-space optical communication£ÛJ£Ý. Optics Express, 2011, 19(2): 482-492.
£Û43£Ý Zhang N, Yuan X C, Burge R E. Extending the detection range of optical vortices by Dammann vortex gratings£ÛJ£Ý. Optics Letters, 2010, 35(20): 3495-3497.
£Û44£Ý Zhang N, Davis J A, Moreno I, et al. Analysis of multilevel spiral phase plates using a Dammann vortex sensing grating£ÛJ£Ý. Optics Express, 2010, 18(25): 25987-25992.
£Û45£Ý Lin J, Yuan X C, Tao S H, et al. Collinear superposition of multiple helical beams generated by a single azimuthally modulated phase-only element£ÛJ£Ý. Optics Letters, 2005, 30(24): 3266-3268.
£Û46£Ý Lin J, Yuan X C, Tao S. Orbital angular momentum (OAM) multiplexing in free-space optical data transfer£ÛJ£Ý. Proceeding of SPIE, 2006, 6304: 630411-1-630411-5.
£Û47£Ý elechovsk§ö R, Bouchal Z. Optical implementation of the vortex information channel£ÛJ£Ý. New Journal of Physics, 2007, 9(9): 328-1-328-12.
£Û48£Ý Djordjevic I B. Deep-space and near-earth optical communications by coded orbital angular momentum (OAM) modulation£ÛJ£Ý. Optics Express, 2011, 19(15): 14277-14289.
£Û49£Ý Djordjevic I B, Denic S, Anguita J, et al. LDPC-coded MIMO optical communication over the atmospheric turbulence channel£ÛJ£Ý. Journal of Lightwave Technology, 2008, 26(5): 478-487.
£Û50£Ý Djordjevic I B, Arabaci M. LDPC-coded orbital angular momentum (OAM) modulation for free-space optical communication£ÛJ£Ý. Optics Express, 2010, 18(24): 24722-24728.
£Û51£Ý Martelli P, Gatto A, Boffi P, et al. Free-space optical transmission with orbital angular momentum division multiplexing£ÛJ£Ý. Electronics Letters, 2011, 47(17): 972-973.
£Û52£Ý Wang J, Yang J Y, Fazal I M, et al. Terabit free-space data transmission employing orbital angular momentum multiplexing£ÛJ£Ý. Nature Photonics, 2012, 6(7): 488-496.
£Û53£Ý Wang J, Yang J Y, Fazal I, et al. Experimental demonstration of 100-Gbit/s DQPSK data exchange between orbital-angular-momentum modes£ÛC£Ý// International Conference on Optical Fiber Communication. Los Angeles(USA):Optical Society of America, 2012: OW1I. 5-1- OW1I. 5-3.
£Û54£Ý Fazal I M, Wang J, Yang J Y, et al. Demonstration of 2-Tbit/s data link using orthogonal orbital-angular-momentum modes and WDM£ÛC£Ý// International Conference on Frontiers in Optics. San Jose(USA):Optical Society of America, 2011: FTuT1-1- FTuT1-2.
£Û55£Ý McGloin D, Simpson N B, Padgett M J. Transfer of orbital angular momentum from a stressed fiber-optic waveguide to a light beam£ÛJ£Ý. Applied Optics, 1998, 37(3): 469-472.
£Û56£Ý Volpe G, Petrov D. Generation of cylindrical vector beams with few-mode fibers excited by Laguerre-Gaussian beams£ÛJ£Ý. Optics Communications, 2004, 237(1): 89-95.
£Û57£Ý Dashti P Z, Alhassen F, Lee H P. Observation of orbital angular momentum transfer between acoustic and optical vortices in optical fiber£ÛJ£Ý. Physical Review Letters, 2006, 96(4): 043604-1-043604-4.
£Û58£Ý Franke-Arnold S, Barnett S M, Yao E, et al. Uncertainty principle for angular position and angular momentum£ÛJ£Ý. New Journal of Physics, 2004, 6(1): 103-1-103-8.
£Û59£Ý elechovsk§ö R, Bouchal Z. Generation of variable mixed vortex fields by a single static hologram£ÛJ£Ý. Journal of Modern Optics, 2006, 53(4): 473-480.
£Û60£Ý Djordjevic I B, Cvijetic M, Xu L, et al. Proposal for beyond 100-Gb/s optical transmission based on bit-interleaved LDPC-coded modulation£ÛJ£Ý. IEEE Photonics Technology Letters , 2007, 19(12): 874-876.
£Û61£Ý Paterson C. Atmospheric turbulence and orbital angular momentum of single photons for optical communication£ÛJ£Ý. Physical Review Letters, 2005, 94(15): 153901-1-153901-4.
£Û62£Ý Gbur G, Tyson R K. Vortex beam propagation through atmospheric turbulence and topological charge conservation£ÛJ£Ý. Journal of Optical Society of America A, 2008, 25(1): 225-230.
£Û63£Ý Anguita J A, Neifeld M A, Vasic B V. Turbulence-induced channel crosstalk in an orbital angular momentum-multiplexed free-space optical link£ÛJ£Ý. Applied Optics, 2008, 47(13): 2414-2429.
£Û64£Ý Tyler G A, Boyd R W. Influence of atmospheric turbulence on the propagation of quantum states of light carrying orbital angular momentum£ÛJ£Ý. Optics Letters, 2009, 34(2): 142-144.
£Û65£Ý Malik M, O¡¯ Sullivan M, Rodenburg B, et al. Influence of atmospheric turbulence on optical communications using orbital angular momentum for encoding£ÛJ£Ý. Optics Express, 2012, 20(12): 13195-13200.
£Û66£Ý Nauerth S, Moll F, Rau M, et al. Air-to-ground quantum communication£ÛJ£Ý. Nature Photonics, 2013, 7(5): 382-386.
£Û67£Ý Scarani V, Bechmann-Pasquinucci H, Cerf N J, et al. The security of practical quantum key distribution£ÛJ£Ý. Reviews of Modern Physics, 2009, 81(3): 1301-1350.
£Û68£Ý Tyson R. Principles of adaptive optics£ÛM£Ý. Oxford(UK): CRC Press, 2010.
£Û69£Ý Platt B C. History and principles of Shack-Hartmann wavefront sensing£ÛJ£Ý. Journal of Refractive Surgery, 2001, 17(5): S573-S577.
£Û70£Ý Murphy K, Burke D, Devaney N, et al. Experimental detection of optical vortices with a Shack-Hartmann wavefront sensor£ÛJ£Ý. Optics Express, 2010, 18(15): 15448-15460.
£Û71£Ý Jesacher A, Schwaighofer A, F¨¹rhapter S, et al. Wavefront correction of spatial light modulators using an optical vortex image£ÛJ£Ý. Optics Express, 2007, 15(9): 5801-5808.
£Û72£Ý Liu Yidong, Gao Chunqing, Qi Xiaoqing et al. Orbital angular momentum (OAM) spectrum correction in free space optical communication£ÛJ£Ý. Optics Express, 2008, 16(10): 7091-7101.
£Û73£Ý Zhao S M, Leach J, Gong L Y, et al. Aberration corrections for free-space optical communications in atmosphere turbulence using orbital angular momentum states£ÛJ£Ý. Optics Express, 2012, 20(1): 452-461.
£Û74£Ý Frenger P, Orten P, Ottosson T. Convolutional codes with optimum distance spectrum£ÛJ£Ý. IEEE Communications Letters, 1999, 3(11): 317-319.
£Û75£Ý Hanzo L L, Liew T H, Yeap B L, et al. Turbo coding, turbo equalisation and space-time coding: EXIT-chart-aided near-capacity designs for wireless channels£ÛM£Ý. Hoboken(USA): Wiley IEEE Press, 2011.
£Û76£Ý Heisenberg W. The physical principles of the quantum theory£ÛM£Ý. New York (USA): Courier Dover Publications, 2013.
£Û77£Ý Yao E, Franke-Arnold S, Courtial J, et al. Fourier relationship between angular position and optical orbital angular momentum£ÛJ£Ý. Optics Express, 2006, 14(20): 9071-9076.
£Û78£Ý Jack B, Aursand P, Franke-Arnold S, et al. Demonstration of the angular uncertainty principle for single photons£ÛJ£Ý. Journal of Optics, 2011, 13(6): 064017-1-064017-6.
£Û79£Ý Leach J, Jack B, Romero J, et al. Quantum correlations in optical angle-orbital angular momentum variables£ÛJ£Ý. Science, 2010, 329(5992): 662-665.
£Û80£Ý Ramachandran S, Kristensen P, Yan M F. Generation and propagation of radially polarized beams in optical fibers£ÛJ£Ý. Optics Letters, 2009, 34(16): 2525-2527.
£Û81£Ý Bozinovic N, Kristensen P, Ramachandran S. Long-range fiber-transmission of photons with orbital angular momentum£ÛC£Ý//CLEO: Science and Innovations. Baltimore(USA): Optical Society of America, 2011: CTuB1-1- CTuB1-2.
£Û82£Ý Cai X, Wang J, Strain M J, et al. Integrated compact optical vortex beam emitters£ÛJ£Ý. Science, 2012, 338(6105): 363-366.
£Û83£Ý Thid¨¦ B, Then H, Sj¢‰holm J, et al. Utilization of photon orbital angular momentum in the low-frequency radio domain£ÛJ£Ý. Physical Review Letters, 2007, 99(8): 087701-1-087701-4.
£Û84£Ý Committee on Harnessing Light. Optics and photonics: essential technologies for our nation£ÛM£Ý. Washington D C: National Academies Press, 2012.