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离轴涡旋光束弱走离条件下的倍频效应

陈顺意 丁攀峰 蒲继雄

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离轴涡旋光束弱走离条件下的倍频效应

陈顺意, 丁攀峰, 蒲继雄

Frequency doubling effect of off-axial vortex beam in the case of weak walk-off

Chen Shun-Yi, Ding Pan-Feng, Pu Ji-Xiong
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  • 利用耦合波截断方程推导了无走离及弱走离条件下离轴涡旋光束经过负单轴晶体后产生倍频光的归一化电场及光强表达式. 主要分析了离轴量、弱走离角及晶体长度对于输出倍频光的影响. 研究结果表明: 不考虑走离效应时, 倍频光两暗核重合于轴上点, 而具有弱走离效应时, 暗核位置沿走离方向有所偏移, 并且两重合暗核产生分离, 截面上发生分离的方向垂直于存在走离的方向, 其中产生的偏移量与离轴量、走离角及晶体长度有关, 而分离的距离只与走离角及晶体长度相关. 具体表现为: 当离轴量增大, 倍频光两暗核沿存在离轴方向所产生的偏移增大, 而暗核间的分离距离不受离轴量影响, 当走离角、晶体长度增大时, 两暗核沿存在走离方向所产生的偏移增大, 同时, 暗核间的分离距离也有所增大. 此外, 通过对比发现, 传输晶体长度的缩小, 可以减小暗核沿存在走离方向或是存在离轴方向所产生的偏移, 同时也可以减小由离轴量与走离角所产生的暗核分离距离, 一定程度上对输出的倍频光起到校正作用.
    By using the truncated equations of the coupled wave, the expressions of the normalized electric field and the normalized intensity of the frequency doubling beam are derived in the cases with and without walk-off effect, caused by the off-axial vortex beam propagating through the negative uniaxial crystal. The influences of the off-axial magnitude, the weak walk-off angle and the crystal length on the output frequency doubling beam are mainly investigated. It is shown that while the walk-off angle is neglected, the two dark cores of the frequency doubling beam coincide with the point (0, 0); but while the weak walk-off angle is taken into account, the dark cores move along the direction where the walk-off effect is generated, and the two coincident dark cores separate in the direction perpendicular to the direction where the walk-off effect is generated on the cross-section. Especially, the distance the dark cores move is related to the off-axial magnitude, the weak walk-off angle and the crystal length. But the separation distance of the two dark cores is only related to the weak walk-off angle and the crystal length. The exact details show that when the off-axial magnitude increases, the distance the dark cores move along the direction where the off-axial magnitude is generated increases at the same time, but the separation distance has no connection with he off-axial magnitude. When the weak walk-off angle and the crystal length increase, the distance the dark cores move and the separation distance of the two dark cores increase. In addition, it can be found by comparison that when the crystal length reduces, the distance the dark cores move will decrease. And also the separation distance of the two dark cores will reduce, which is induced by the walk-off effect and the off-axial magnitude. Therefore, by reducing the crystal length, the output frequency doubling beam can be modified to a certain degree.
      通信作者: 丁攀峰, dingpanfeng@163.com
    • 基金项目: 国家自然科学基金 (批准号: 613070015)资助的课题.
      Corresponding author: Ding Pan-Feng, dingpanfeng@163.com
    • Funds: Project supported by the National Natural Science Foundations of China (Grant No. 613070015).
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    Zhou Z Y, Ding D S, Jiang Y K, Li Y, Shi S, Wang X S, Shi B S 2014 Opt. Express 22 20298

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  • [1]

    Born M, Wolf E 1999 Principles of Optics (7th Ed.) (New York: Pergamon) pp554-632

    [2]

    Pas'ko V A, Soskin M S, Vasnetsov M V 2001 Opt. Commun. 198 49

    [3]

    Graham G, Johannes C, Miles J P 2004 Opt. Express 12 5448

    [4]

    Shunichi S, Yasunori H, Yoshio W 1994 Opt. Lett. 19 1807

    [5]

    Gahagan K T, Swartzlander Jr G A 1999 J. Opt. Soc. Am. B 16 533

    [6]

    Dholakia K, Simpon N B, Padgett M J, Allen L 1996 Phys. Rev. A 54 3742

    [7]

    Toda Y, Honda S, Morita R 2010 Opt. Express 18 17796

    [8]

    Bovino F A, Braccini M, Bertolotti M, Sibilia C 2011 Opt. Commun. 284 2587

    [9]

    Deng D M, Guo Q 2010 Appl. Phys. B 100 897

    [10]

    Wu X, Deng D M, Guo Q 2011 Chin. Phys. B 20 084201

    [11]

    Deng D M, Chen C D, Zhao X, Li H G 2013 Appl. Phys. B 110 433

    [12]

    Zhou G Q 2014 Opt. Commun. 330 106

    [13]

    Georgi M, Dragomir N N, Elitza P, Alexander D 2011 J. Opt. 13 064015

    [14]

    Zhou Z Y, Ding D S, Jiang Y K, Li Y, Shi S, Wang X S, Shi B S 2014 Opt. Express 22 20298

    [15]

    Zhou Z Y, Li Y, Ding D S, Zhang W, Shi S, Shi B S, Guo G C 2014 Opt. Express 22 23673

    [16]

    Amold C L, Akturk S, Mysyrowjcz A, et al. 2015 J. Phys. B: Atom. Molecul. Opt. Phys. 48 1

    [17]

    Chen B, Chen C D, Peng X, Deng D M 2015 J. Opt. Soc. Am. B 32 173

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  • 被引次数: 0
出版历程
  • 收稿日期:  2015-06-24
  • 修回日期:  2015-08-05
  • 刊出日期:  2015-12-05

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