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有倾斜透镜存在时两个刃型位错的相互作用

陈海涛 高曾辉 肖尚辉 王藩侯 程晓洪

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有倾斜透镜存在时两个刃型位错的相互作用

陈海涛, 高曾辉, 肖尚辉, 王藩侯, 程晓洪

Interaction between two edge dislocations in the presence of a tilted lens

Chen Hai-Tao, Gao Zeng-Hui, Xiao Shang-Hui, Wang Fan-Hou, Cheng Xiao-Hong
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  • 对存在倾斜透镜时两个刃型位错的相互作用进行了研究.研究表明, 两个离轴刃型位错在一定条件下由于相互作用会消失, 并有一个或两个非正则光涡旋产生, 一个共轴刃型位错和一个离轴刃型位错相互作用时产生一个非正则光涡旋. 当初始场中两个刃型位错相互垂直或者平行时, 出射场中会有一个或者两个刃型位错出现. 改变透镜的倾斜因子不影响出射场中位相奇点的类型和数量, 但位相奇点的横向位置与倾斜因子有线性关系. 两个刃型位错相互作用产生的光涡旋对的三维轨迹是非线性的, 但光涡旋对的中心沿直线传输.
    The interaction between two edge dislocations in the presence of a tilted lens is studied. It is shown that for the interaction between two off-axis edge dislocations, the edge dislocations vanish, and one or two noncanonical vortices appear under certain conditions. A noncanonical vortex appears for the interaction between the on-axis edge dislocation and off-axis edge dislocation. However, one or two edge dislocations may take place when two edge dislocations are perpendicular or parallel to each other in the initial plane. The variation of the tilt coefficient does not affect the type and number of phase singularities, but the relation between the transverse position of phase singularities and the tilt coefficient is linear. The three-dimensional trajectories of vortices are nonlinear while the center of the pair of vortices propagates along a line during propagation.
    • 基金项目: 国家自然科学基金(批准号:61275203)和四川省教育厅自然科学基金(批准号:10Zc031)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 61275203) and the Scientific Research Fund of Sichuan Provincial Education Department, China (Grant No. 10Zc031).
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    Yan H, L B 2009 J. Opt. A: Pure Appl. Opt. 11 065706

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    Alda J, Alonso J, Bernabeu E 1997 J. Opt. Soc. Am. A 14 2737

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    Chen Z, Pu J, Zhao D 2011 Phys. Lett. A 32 2958

    [13]

    Yan H, L B 2009 J. Opt. Soc. Am. A 26 985

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    He D, Yan H, L B 2011 Chin. Phys. B 20 014201

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    Soskin M S, Vasnetsov M V 2001 Progress in Optics 42 219

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    Collins S A 1970 J. Opt. Soc. Am. A 60 116817

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    Gradshteyn I S, Ryzhik I M 2000 Table of Integrals, Series and Products (New York: Academic Press) p337

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    Freund I, Shvartsman N 1994 Phys. Rev. A 50 5164

  • [1]

    Grier D G 2003 Nature 424 21

    [2]

    Indebetouw G 1993 J. Mod. Opt. 40 73

    [3]

    Roux F S 2004 J. Opt. Soc. Am. B 21 664

    [4]

    Nye J F, Berry M V 1974 Proc. R. Soc. A 336 165

    [5]

    Roux F S 2003 J. Opt. Soc. Am. B 20 1169

    [6]

    Roux F S 2004 Opt. Commun. 236 433

    [7]

    Gabriel M T, Ewan M W, Lluis T 2001 Opt. Lett. 26 163

    [8]

    Volyar A V, Fadeeva T A, Lapaeva S N 2001 Tech. Phys. Lett. 27 945

    [9]

    Chen M, Roux F S 2008 J. Opt. Soc. Am. A 25 1279

    [10]

    Yan H, L B 2009 J. Opt. A: Pure Appl. Opt. 11 065706

    [11]

    Alda J, Alonso J, Bernabeu E 1997 J. Opt. Soc. Am. A 14 2737

    [12]

    Chen Z, Pu J, Zhao D 2011 Phys. Lett. A 32 2958

    [13]

    Yan H, L B 2009 J. Opt. Soc. Am. A 26 985

    [14]

    He D, Yan H, L B 2011 Chin. Phys. B 20 014201

    [15]

    Soskin M S, Vasnetsov M V 2001 Progress in Optics 42 219

    [16]

    Collins S A 1970 J. Opt. Soc. Am. A 60 116817

    [17]

    Gradshteyn I S, Ryzhik I M 2000 Table of Integrals, Series and Products (New York: Academic Press) p337

    [18]

    Freund I, Shvartsman N 1994 Phys. Rev. A 50 5164

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  • PDF下载量:  560
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-05-12
  • 修回日期:  2012-08-15
  • 刊出日期:  2013-02-05

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