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Propagation of helical beams through amplitude diffractive optical elements and the measurement of topological charge

Xin Jing-Tao Gao Chun-Qing Li Chen Wang Zheng

Propagation of helical beams through amplitude diffractive optical elements and the measurement of topological charge

Xin Jing-Tao, Gao Chun-Qing, Li Chen, Wang Zheng
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  • A new method is proposed to generate amplitude diffractive optical elements such as Young's double-slits and triangular apertures from a spatial light modulator (SLM). With the help of plane wave angular spectrum diffraction formula and Collins formula, the propagation property of helical beams passing through those two amplitude optical elements is studied, and the measurement of topological charge of helical beams is also achieved with those two amplitude diffractive optical elements. Due to the fact that the SLM can flexibly and accurately change the configurations and locations of optical elements, the measurements can be conveniently achieved.
    [1]

    Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185

    [2]

    Simpson N B, Dholakia K, Allen L, Padgett M J 1997 Opt. Lett. 22 52

    [3]

    Gao C Q, Gao M W, Weber H 2004 Optik 113 129

    [4]

    Zdeněk Bouchal, Radek Cělechovsky 2004 New Journal of Physics 131 1

    [5]

    Čelechovský R, Bouchal Z 2006 Journal of Modern Optics 53 473

    [6]

    Čelechovský R, Bouchal Z 2007 New Journal of Physics 9 1

    [7]

    Gao C Q, Qi X Q, Liu Y D, Weber H 2010 Opt. Express 18 72

    [8]

    Weihs G, Zeilinger A 2001 Nature 412 313

    [9]

    Leach J, Padgett M J, Barnett S M, Franke-Arnold S, Courtial J 2002 Phys. Rev. Lett. 88 257901

    [10]

    Gao C Q, Qi X Q, Liu Y D, Xin J T, Wang L 2011 Optics Comm. 284 48

    [11]

    Gao C Q, Wei G H, Weber H 2000 Sci.China A 12 1306

    [12]

    Sztul H I, Alfano R R 2006 Opt. Lett. 31 999

    [13]

    Soares W C, Caetano D P, Fonseca E J S, Chávez-Cerda S, Hickmann J M 2008 in Conference on Lasers and Electro-Optics presentation Paper QTuI7

    [14]

    Ghai D P, Vyas S, Senthilkumaran P, Sirohi R S 2008 Opt. Lasers Eng. 46 419

    [15]

    Chen Z Y, Zhang G W, Rao L Z, Pu J X 2008 Chinese Journal of Lasers 35 1063 (in Chinese) [陈子阳, 张国文, 饶连周, 蒲继雄 2008 中国激光 35 1063]

    [16]

    Wang T, Pu J X 2009 Chinese Journal of Lasers 36 2902 (in Chinese) [王涛, 蒲继雄 2009 中国激光 36 2902]

    [17]

    Qi X Q, Gao C Q, Li Y D 2010 Acta Phys. Sin. 59 264 (in Chinese) [齐晓庆, 高春清, 刘义东 2010 物理学报 59 264]

    [18]

    Jonathan Leach, Gibson G M, Padgett M J 2006 Opt. Express 14 5581

    [19]

    Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185

    [20]

    Li J C 2009 Acta Optica Sinica 29 1163 (in Chinese) [李俊昌 2009 光学学报 29 1163]

    [21]

    Li J C 2008 Chinese Journal of Computational Physics 25 330 (in Chinese) [李俊昌 2008 计算物理 25 330]

    [22]

    Liu Y D, Gao C Q, Qi X Q, Weber H 2008 Opt. Express 16 3636

  • [1]

    Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185

    [2]

    Simpson N B, Dholakia K, Allen L, Padgett M J 1997 Opt. Lett. 22 52

    [3]

    Gao C Q, Gao M W, Weber H 2004 Optik 113 129

    [4]

    Zdeněk Bouchal, Radek Cělechovsky 2004 New Journal of Physics 131 1

    [5]

    Čelechovský R, Bouchal Z 2006 Journal of Modern Optics 53 473

    [6]

    Čelechovský R, Bouchal Z 2007 New Journal of Physics 9 1

    [7]

    Gao C Q, Qi X Q, Liu Y D, Weber H 2010 Opt. Express 18 72

    [8]

    Weihs G, Zeilinger A 2001 Nature 412 313

    [9]

    Leach J, Padgett M J, Barnett S M, Franke-Arnold S, Courtial J 2002 Phys. Rev. Lett. 88 257901

    [10]

    Gao C Q, Qi X Q, Liu Y D, Xin J T, Wang L 2011 Optics Comm. 284 48

    [11]

    Gao C Q, Wei G H, Weber H 2000 Sci.China A 12 1306

    [12]

    Sztul H I, Alfano R R 2006 Opt. Lett. 31 999

    [13]

    Soares W C, Caetano D P, Fonseca E J S, Chávez-Cerda S, Hickmann J M 2008 in Conference on Lasers and Electro-Optics presentation Paper QTuI7

    [14]

    Ghai D P, Vyas S, Senthilkumaran P, Sirohi R S 2008 Opt. Lasers Eng. 46 419

    [15]

    Chen Z Y, Zhang G W, Rao L Z, Pu J X 2008 Chinese Journal of Lasers 35 1063 (in Chinese) [陈子阳, 张国文, 饶连周, 蒲继雄 2008 中国激光 35 1063]

    [16]

    Wang T, Pu J X 2009 Chinese Journal of Lasers 36 2902 (in Chinese) [王涛, 蒲继雄 2009 中国激光 36 2902]

    [17]

    Qi X Q, Gao C Q, Li Y D 2010 Acta Phys. Sin. 59 264 (in Chinese) [齐晓庆, 高春清, 刘义东 2010 物理学报 59 264]

    [18]

    Jonathan Leach, Gibson G M, Padgett M J 2006 Opt. Express 14 5581

    [19]

    Allen L, Beijersbergen M W, Spreeuw R J C, Woerdman J P 1992 Phys. Rev. A 45 8185

    [20]

    Li J C 2009 Acta Optica Sinica 29 1163 (in Chinese) [李俊昌 2009 光学学报 29 1163]

    [21]

    Li J C 2008 Chinese Journal of Computational Physics 25 330 (in Chinese) [李俊昌 2008 计算物理 25 330]

    [22]

    Liu Y D, Gao C Q, Qi X Q, Weber H 2008 Opt. Express 16 3636

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  • Received Date:  07 February 2012
  • Accepted Date:  28 February 2012
  • Published Online:  05 September 2012

Propagation of helical beams through amplitude diffractive optical elements and the measurement of topological charge

  • 1. School of Optical-Electronics, Beijing Institute of Technology, Beijing 100081, China

Abstract: A new method is proposed to generate amplitude diffractive optical elements such as Young's double-slits and triangular apertures from a spatial light modulator (SLM). With the help of plane wave angular spectrum diffraction formula and Collins formula, the propagation property of helical beams passing through those two amplitude optical elements is studied, and the measurement of topological charge of helical beams is also achieved with those two amplitude diffractive optical elements. Due to the fact that the SLM can flexibly and accurately change the configurations and locations of optical elements, the measurements can be conveniently achieved.

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