Laser & Optoelectronics Progress, Volume. 51, Issue 10, 100004(2014)

Spin and Orbital Angular Momentum of Light

Wei Gongxiang*, Liu Xiaojuan, Liu Yunyan, and Fu Shenggui
Author Affiliations
  • [in Chinese]
  • show less
    References(62)

    [1] [1] Beth R A. Mechanical detection and measurement of the angular momentum of light[J]. Physical Review, 1936, 50(2): 115-123.

    [2] [2] Allen L, Beijersbergen M W, Spreeuw R J C, et al.. Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes[J]. Physical Review A, 1992, 45(11): 8185-8189.

    [4] [4] Leach J, Yao E, Padgett M. Observation of the vortex structure of a non-integer vortex beam[J]. New Journal of Physics, 2004, 6(1): 71.

    [5] [5] Curtis J E, Grier D G. Structure of optical vortices[J]. Physical Review Letters, 2003, 90(13): 133901.

    [6] [6] Courtial J. Self-imaging beams and the Guoy effect[J]. Optics Communications, 1998, 151(1-3): 1-4.

    [7] [7] Mair A, Vaziri A, Weihs G, et al.. Entanglement of the orbital angular momentum states of photons[J]. Nature, 2001, 412(6844): 313-316.

    [8] [8] Beijersbergen M W, Allen L, van der Veen H E L O, et al.. Astigmatic laser mode converters and transfer of orbital angular momentum[J]. Optics Communications, 1993, 96(1-3): 123-132.

    [9] [9] Porras M A, Borghi R, Santarsiero M. Relationship between elegant Laguerre-Gauss and Bessel-Gauss beams[J]. Journal of the Optical Society of America A, 2001, 18(1): 177-184.

    [10] [10] Gutierez-Vega J C, Iturbe-Castillo M D, Cháez-Cerda S. Alternative formulation for invariant optical fields: Mathieu beams[J]. Optics Letters, 2000, 25(20): 1493-1495.

    [11] [11] Bandres M A, Gutierez-Vega J. Ince Gaussian beams[J]. Optics Letters, 2004, 29(2): 144-146.

    [12] [12] Padgett M, Courtial J, Allen L. Light's orbital angular momentum[J]. Physics Today, 2004, 57(5): 35-40.

    [13] [13] Berry M V. Singularities in waves and rays[M]. // Physics of Defects, Balian R, Kleman M, Poirier J P (eds.). Amsterdam: North-Holland Publishing Company, 1981. 453-543.

    [14] [14] Fühapter S, Jesacher A, Bernet S, et al.. Spiral phase contrast imaging in microscopy[J]. Optics Express, 2005, 13(3): 689-694.

    [15] [15] Leach J, Keen S, Padgett M J, et al.. Direct measurement of the skew angle of the Poynting vector in a helically phased beam[J]. Optics Express, 2006, 14(25): 11919-11924.

    [16] [16] Ding Panfeng, Pu Jixiong. Relation of momentum and orbital angular momentum of Gaussian vortex beam with topological charge and their propagation in free space[J]. Scientia Sinica Physica, Mechanica & Astronomica, 2013, 43(6): 725-731.

    [17] [17] Ding Panfeng, Pu Jixiong. Change of the off-center Laguerre-Gaussian vortex beam while propagation[J]. Acta Physica Sinica, 2012, 61(6): 064103.

    [18] [18] Ding Panfeng, Pu Jixiong. Research on orbital angular momentum of off axial Gaussian vortex beam[J]. Scientia Sinica Physica, Mechanica & Astronomica, 2014, 44(5): 449-456.

    [19] [19] Guo C, Zhang Y, Han Y, et al.. Generation of optical vortices with arbitrary shape and array via helical phase spatial filtering[J]. Optics Communications, 2006, 259(2): 449-454.

    [20] [20] Wei G, Lu L, Guo C. Generation of optical vortex array based on the fractional Talbot effect[J]. Optics Communications, 2009, 282(14): 2665-2669.

    [21] [21] O′Holleran K, Padgett M J, Dennis M R. Topology of optical vortex lines formed by the interference of three, four, and five plane waves[J]. Optics Express, 2006, 14(7): 3039-3044.

    [22] [22] O′Holleran K, Dennis M R, Padgett M J. Topology of light's darkness[J]. Physical Review Letters, 2009, 102(14): 143902.

    [23] [23] O′Neil A T, Macvicar I, Allen L, et al.. Intrinsic and extrinsic nature of the orbital angular momentum of a light beam[J]. Physical Review Letters, 2002, 88(5): 053601.

    [24] [24] Padgett M J, Courtial J. Poincare-sphere equivalent for light beams containing orbital angular momentum[J]. Optics Letters, 1999, 24(7): 430-432.

    [25] [25] Allen L, Courtial J, Padgett M J. Matrix formulation for the propagation of light beams with orbital and spin angular momenta[J]. Physical Review E, 1999, 60(6): 7497-7503.

    [26] [26] Yu Daoyin, Tan Hengying. Engneering Optics[M]. Beijing: China Machine Press, 2011.

    [27] [27] Wei Gongxiang. On the Generation, Diffractive Properties, and Mearsurement of Optical Vortices[D]. Jinan: Shangdong Normal University, 2010.

    [28] [28] Berkhout G C G, Beijersbergen M W. Method for probing the orbital angular momentum of optical vortices in electromagnetic waves from astronomical objects[J]. Physical Review Letters, 2008, 101(10): 100801.

    [29] [29] Guo C, Yue S, Wei G. Measuring the orbital angular momentum of optical vortices using a multipinhole plate[J]. Applied Physics Letters, 2009, 94(23): 231104.

    [30] [30] Guo C, Lu L, Wang H. Characterizing topological charge of optical vortices by using an annular aperture[J]. Optics Letters, 2009, 34(23): 3686-3688.

    [31] [31] Han Y, Zhao G. Measuring the topological charge of optical vortices with an axicon[J]. Optics Letters, 2011, 36(11): 2017-2019.

    [32] [32] Vasnetsov M V, Slyusar V V, Soskin M S. Mode separator for a beam with an off-axis optical vortex[J]. Quantum Electronics, 2001, 31(5): 464-466.

    [33] [33] Leach J, Courtial J, Skeldon K, et al.. Interferometric methods to measure orbital and spin, or the total angular momentum of a single photon[J]. Physical Review Letters, 2004, 92(1): 13601.

    [34] [34] Grier D G. A revolution in optical manipulation[J]. Nature, 2003, 424(6950): 810-816.

    [35] [35] Grier D G, Roichman Y. Holographic optical trapping[J]. Applied Optics, 2006, 45(5): 880-887.

    [36] [36] Padgett M J. Optics: Droplets set light in a spin[J]. Nature, 2009, 461(7264): 600-601.

    [37] [37] Tabosa J W R, Barreiro S. Generation of light carrying orbital angular momentum via induced coherence grating in cold atoms[J]. Physical Review Letters, 2003, 90(13): 133001.

    [38] [38] Khaykovich L, Davidson N, Ozeri R. Long spin relaxation times in a single-beam blue-detuned optical trap[J]. Physical Review A, 1999, 59(3): R1750-R1753.

    [39] [39] Ryu C, Clade P, Natarajan V, et al.. Quantized rotation of atoms from photons with orbital angular momentum[J]. Physical Review Letters, 2006, 97(17): 170406.

    [40] [40] Leslie L S, Bigelow N P, Wright K C. Optical control of the internal and external angular momentum of a Bose-Einstein condensate[J]. Physical Review A, 2008, 77(4): 041601.

    [41] [41] Allen L, Babiker M, Power W L. Azimuthal doppler shift in light beams with orbital angular momentum[J]. Optics Communications, 1994, 112(3-4): 141-144.

    [42] [42] Leach J, Padgett M J. Observation of chromatic effects near a white-light vortex[J]. New Journal of Physics, 2003, 5:154.

    [43] [43] Leach J, Gibson G M, Padgett M J, et al.. Generation of achromatic Bessel beams using a compensated spatial light modulator[J]. Optics Express, 2006, 14(12): 5581-5587.

    [44] [44] Maleev I D, Marathay A S, Swartzlander G A, et al.. Spatial correlation singularity of a vortex field[J]. Physical Review Letters, 2004, 92(14): 143905.

    [45] [45] Hernandez-Aranda R I, Swartzlander G A. Optical Rankine vortex and anomalous circulation of light[J]. Physical Review Letters, 2007, 99(16): 163901.

    [47] [47] Cheng Ke, Zhang Hongrun, Lü Baida. Coherence vortex properties of partially coherent vortex beams[J]. Acta Physica Sinica, 2010, 59(1): 246-255.

    [48] [48] Swartzlander J G A, Ford E L, Abdul-Malik R S, et al.. Astronomical demonstration of an optical vortex coronagraph [J]. Optics Express, 2008, 16(14): 10200-10207.

    [49] [49] Foo G, Palacios D M, Swartzlander J G A. Optical vortex coronagraph[J]. Optics Letters, 2005, 30(24): 3308-3310.

    [50] [50] Lee J H, Foo G, Johnson E G, et al.. Experimental verification of an optical vortex coronagraph[J]. Physical Review Letters, 2006, 97(5): 053901.

    [51] [51] Padgett M J. Electromagnetism: Like a speeding watch[J]. Nature, 2006, 443(7114): 924-925.

    [52] [52] Courtial J, Dholakia K, Robertson D A, et al.. Measurement of the rotational frequency shift imparted to a rotating light beam possessing orbital angular momentum[J]. Physical Review Letters, 1998, 80(15): 3217-3219.

    [53] [53] Courtial J, Robertson D A, Dholakia K, et al.. Rotational frequency shift of a light beam[J]. Physical Review Letters, 1998, 81(22): 4828-4830.

    [54] [54] Skeldon K D, Wilson C, Edgar M, et al.. An acoustic spanner and its associated rotational Doppler shift[J]. New Journal of Physics, 2008, 10(1): 013018.

    [55] [55] Yao E, Franke-Arnold S, Courtial J, et al.. Fourier relationship between angular position and optical orbital angular momentum[J]. Optics Express, 2006, 14(20): 9071-9076.

    [56] [56] Jack B, Padgett M J, Franke-Arnold S. Angular diffraction[J]. New Journal of Physics, 2008, 10(10): 103013.

    [57] [57] Padgett M. On the focussing of light, as limited by the uncertainty principle[J]. Journal of Modern Optics, 2008, 55(18): 3083-3089.

    [58] [58] Franke-Arnold S, Barnett S M, Yao E, et al.. Uncertainty principle for angular position and angular momentum[J]. New Journal of Physics, 2004, 6: 103.

    [59] [59] Dholakia K, Simpson N B, Padgett M J, et al.. Second-harmonic generation and the orbital angular momentum of light [J]. Physical Review A, 1996, 54(5): R3742-R3745.

    [60] [60] Courtial J, Dholakia K, Allen L, et al.. Second-harmonic generation and the conservation of orbital angular momentum with high-order Laguerre-Gaussian modes[J]. Physical Review A, 1997, 56(5): 4193-4196.

    [61] [61] Torres J P, Osorio C I, Torner L. Orbital angular momentum of entangled counter propagating photons[J]. Optics Letters, 2004, 29(16): 1939-1941.

    [62] [62] Arnaut H H, Barbosa G A. Orbital and intrinsic angular momentum of single photons and entangled pairs of photons generated by parametric down-conversion[J]. Physical Review Letters, 2000, 85(2): 286-289.

    CLP Journals

    [1] Ke Xizheng, Li Yaxing. Experimental Study on Fractional Laguerre Gaussian Beam with Orbital Angular Momentum[J]. Laser & Optoelectronics Progress, 2015, 52(8): 80501

    [2] Zheng Donghui, Chen Lei, Li Bo, Li Jinpeng, Wulan Tuya. Research on Phase-Shifting Characteristic of Retarder Array in Simultaneous Phase-Shifting Interferometer[J]. Acta Optica Sinica, 2015, 35(4): 412004

    [3] Wang Youping, Zheng Mingjie, Chen Daqiang. Improved Vortex Beams Generated Based on Gerchberg-Saxton Phase Retrieval Algorithm[J]. Laser & Optoelectronics Progress, 2015, 52(10): 100701

    [4] QIU Peng, HU Zheng-da, KONG Yan, JIANG Zhi-long, LIU Cheng, WANG Shou-yu. Angular Momentum Detector Based on Surface Plasmons[J]. Acta Photonica Sinica, 2019, 48(10): 1004003

    [5] He Shimei, Shu Weixing. Generating and Modulating Orbital Angular Momentum Beams by Metasurface[J]. Acta Optica Sinica, 2015, 35(8): 826002

    [6] Ke Xizheng, Xu Junyu. Interference and Detection of Vortex Beams with Orbital Angular Momentum[J]. Chinese Journal of Lasers, 2016, 43(9): 905003

    Tools

    Get Citation

    Copy Citation Text

    Wei Gongxiang, Liu Xiaojuan, Liu Yunyan, Fu Shenggui. Spin and Orbital Angular Momentum of Light[J]. Laser & Optoelectronics Progress, 2014, 51(10): 100004

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: Reviews

    Received: Apr. 21, 2014

    Accepted: --

    Published Online: Sep. 10, 2014

    The Author Email: Gongxiang Wei (weigx@sdut.edu.cn)

    DOI:10.3788/lop51.100004

    Topics