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像散正弦-高斯光束的分数傅里叶变换与椭圆空心光束产生

朱洁 朱开成

像散正弦-高斯光束的分数傅里叶变换与椭圆空心光束产生

朱洁, 朱开成
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  • 基于分数傅里叶变换(FrFT)关系,推导了像散正弦-高斯光束场分布的解析表达式,利用所得结果和数值方法研究了像散正弦-高斯光束在FrFT平面上的光强分布与位相特性.理论和数值分析结果都表明:像散的存在使得正弦-高斯光束在FrFT过程中从初始输入具有边缘位错的多斑花样转换为具有涡旋的暗空心椭圆花样,且其拓扑荷指数为一,而在这种转换中像散起着关键控制作用.此外,适当选择光束参数与FrFT系统结构参数,暗空心椭圆花样的长轴可以是短轴的百余倍,因此利用这一方案可获得相当细长的暗空心椭圆光束.
      通信作者: 朱开成, kczhu058@csu.edu.cn
    • 基金项目: 贵州理工学院高层次人才引进科研启动费资助的课题.
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    [3]

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    [4]

    Yin J, Gao W, Zhu Y 2003 Prog. Opt. 45 119

    [5]

    Ottl A, Ritter S, Kohl M, Esslinger T 2005 Phys. Rev. Lett. 95 090404

    [6]

    Volyar A, Shvedov V, Fadeyeva T, Desyatnikov A S, Neshev D N, Krolikowski W, Kivshar Y S 2006 Opt. Express 14 3724

    [7]

    Xie Q, Zhao D 2007 Opt. Commun. 275 394

    [8]

    Liu Z, Dai J, Zhao X, Sun X, Liu S, Ahmad M A 2009 Opt. Lasers Eng. 47 1250

    [9]

    Nie Y, Li X, Qi J, Ma H, Liao J, Yang J, Hu W 2012 Opt. Laser Technol. 44 384

    [10]

    Lu S, You K, Chen L, Wang Y, Zhang D Y 2013 Optik 124 3301

    [11]

    Zhu S, Zhao C, Chen Y, Cai Y 2013 Optik 124 5271

    [12]

    Wei C, Lu X, Wu G, Wang F, Cai Y 2014 Appl. Phys. B 115 55

    [13]

    Chakraborty R, Ghosh A 2006 J. Opt. Soc. Am. A 23 2278

    [14]

    Zhao C, Lu X, Wang L, Chen H 2008 Opt. Laser Technol. 40 575

    [15]

    Tang H Q, Zhu K C 2013 Opt. Laser Technol. 54 68

    [16]

    Zhu K C, Tang H Q, Tang Y, Xia H 2014 Opt. Laser Technol. 64 11

    [17]

    Zhu K C, Tang H Q, Zheng X J, Tang Y 2014 Acta Phys. Sin. 63 104210 (in Chinese)[朱开成, 唐慧琴, 郑小娟, 唐英2014物理学报63 104210]

    [18]

    Anguianomorales M, Salaspeimbert D P, Trujilloschiaffino G, Corralmartínez L F, Garduñowilches I 2015 Opt. Quant. Electron. 47 2983

    [19]

    Casperson L W, Hall D G, Tovar A A 1997 J. Opt. Soc. Am. A 14 3341

    [20]

    Casperson L W, Tovar A A 1998 J. Opt. Soc. Am. A 15 954

    [21]

    Wang X Q, L B D 2002 Acta Phys. Sin. 51 247 (in Chinese)[王喜庆, 吕百达2002物理学报51 247]

    [22]

    Eyyuboğlu H T, Baykal Y 2005 J. Opt. Soc. Am. A 22 2709

    [23]

    Eyyuboğlu H T 2007 Optik 118 289

    [24]

    Lu Z 2007 Chin. Phys. 16 1320

    [25]

    Ding P, Qu J, Meng K, Cui Z 2008 Opt. Commun. 281 395

    [26]

    Li J H, Yang A L, L B D 2009 Acta Phys. Sin. 58 674 (in Chinese)[李晋红, 杨爱林, 吕百达2009物理学报58 674]

    [27]

    Yahya B 2012 J. Opt. 14 075707

    [28]

    Xu Y 2014 Optik 125 3465

    [29]

    Huang Y, Wang F, Gao Z, Zhang B 2015 Opt. Express 23 1088

    [30]

    Gerçekcioğlu H, Baykal Y 2014 Opt. Commun. 320 1

    [31]

    Zhao D, Mao H, Liu H, Wang S, Jing F, Wei X 2004 Opt. Commun. 236 225

    [32]

    Du X, Zhao D 2007 Phys. Lett. A 366 271

    [33]

    Zhou G Q, Chu X X 2009 Opt. Express 17 10529

    [34]

    Zhou G Q 2009 J. Mod. Opt. 56 886

    [35]

    Chen S, Zhang T, Feng X 2009 Opt. Commun. 282 1083

    [36]

    Serna J, Nemeş G 1993 Opt. Lett. 18 1774

    [37]

    Gregor I, Enderlein J 2005 Opt. Lett. 30 2527

    [38]

    Zheng C 2006 Phys. Lett. A 355 156

    [39]

    Zheng C 2009 Optik 120 274

    [40]

    Lu X, Wei C, Liu L, Wu G, Wang F, Cai Y 2014 Opt. Laser Technol. 56 92

    [41]

    Wang X, Liu Z, Zhao D 2014 Opt. Eng. 53 086112

    [42]

    Tang B, Jiang S, Jiang C, Zhu H 2014 Opt. Laser Technol. 59 116

  • [1]

    Namias V 1980 IMA J. Appl. Math. 25 241

    [2]

    Ozaktas H, Kutay M, Zalevsky Z 2001 The Fractional Fourier Transform with Applications in Optics and Signal Processing (New Jersey:Wiley) pp 319-386

    [3]

    Lohmann A W 1993 J. Opt. Soc. Am. A 10 2181

    [4]

    Yin J, Gao W, Zhu Y 2003 Prog. Opt. 45 119

    [5]

    Ottl A, Ritter S, Kohl M, Esslinger T 2005 Phys. Rev. Lett. 95 090404

    [6]

    Volyar A, Shvedov V, Fadeyeva T, Desyatnikov A S, Neshev D N, Krolikowski W, Kivshar Y S 2006 Opt. Express 14 3724

    [7]

    Xie Q, Zhao D 2007 Opt. Commun. 275 394

    [8]

    Liu Z, Dai J, Zhao X, Sun X, Liu S, Ahmad M A 2009 Opt. Lasers Eng. 47 1250

    [9]

    Nie Y, Li X, Qi J, Ma H, Liao J, Yang J, Hu W 2012 Opt. Laser Technol. 44 384

    [10]

    Lu S, You K, Chen L, Wang Y, Zhang D Y 2013 Optik 124 3301

    [11]

    Zhu S, Zhao C, Chen Y, Cai Y 2013 Optik 124 5271

    [12]

    Wei C, Lu X, Wu G, Wang F, Cai Y 2014 Appl. Phys. B 115 55

    [13]

    Chakraborty R, Ghosh A 2006 J. Opt. Soc. Am. A 23 2278

    [14]

    Zhao C, Lu X, Wang L, Chen H 2008 Opt. Laser Technol. 40 575

    [15]

    Tang H Q, Zhu K C 2013 Opt. Laser Technol. 54 68

    [16]

    Zhu K C, Tang H Q, Tang Y, Xia H 2014 Opt. Laser Technol. 64 11

    [17]

    Zhu K C, Tang H Q, Zheng X J, Tang Y 2014 Acta Phys. Sin. 63 104210 (in Chinese)[朱开成, 唐慧琴, 郑小娟, 唐英2014物理学报63 104210]

    [18]

    Anguianomorales M, Salaspeimbert D P, Trujilloschiaffino G, Corralmartínez L F, Garduñowilches I 2015 Opt. Quant. Electron. 47 2983

    [19]

    Casperson L W, Hall D G, Tovar A A 1997 J. Opt. Soc. Am. A 14 3341

    [20]

    Casperson L W, Tovar A A 1998 J. Opt. Soc. Am. A 15 954

    [21]

    Wang X Q, L B D 2002 Acta Phys. Sin. 51 247 (in Chinese)[王喜庆, 吕百达2002物理学报51 247]

    [22]

    Eyyuboğlu H T, Baykal Y 2005 J. Opt. Soc. Am. A 22 2709

    [23]

    Eyyuboğlu H T 2007 Optik 118 289

    [24]

    Lu Z 2007 Chin. Phys. 16 1320

    [25]

    Ding P, Qu J, Meng K, Cui Z 2008 Opt. Commun. 281 395

    [26]

    Li J H, Yang A L, L B D 2009 Acta Phys. Sin. 58 674 (in Chinese)[李晋红, 杨爱林, 吕百达2009物理学报58 674]

    [27]

    Yahya B 2012 J. Opt. 14 075707

    [28]

    Xu Y 2014 Optik 125 3465

    [29]

    Huang Y, Wang F, Gao Z, Zhang B 2015 Opt. Express 23 1088

    [30]

    Gerçekcioğlu H, Baykal Y 2014 Opt. Commun. 320 1

    [31]

    Zhao D, Mao H, Liu H, Wang S, Jing F, Wei X 2004 Opt. Commun. 236 225

    [32]

    Du X, Zhao D 2007 Phys. Lett. A 366 271

    [33]

    Zhou G Q, Chu X X 2009 Opt. Express 17 10529

    [34]

    Zhou G Q 2009 J. Mod. Opt. 56 886

    [35]

    Chen S, Zhang T, Feng X 2009 Opt. Commun. 282 1083

    [36]

    Serna J, Nemeş G 1993 Opt. Lett. 18 1774

    [37]

    Gregor I, Enderlein J 2005 Opt. Lett. 30 2527

    [38]

    Zheng C 2006 Phys. Lett. A 355 156

    [39]

    Zheng C 2009 Optik 120 274

    [40]

    Lu X, Wei C, Liu L, Wu G, Wang F, Cai Y 2014 Opt. Laser Technol. 56 92

    [41]

    Wang X, Liu Z, Zhao D 2014 Opt. Eng. 53 086112

    [42]

    Tang B, Jiang S, Jiang C, Zhu H 2014 Opt. Laser Technol. 59 116

  • 引用本文:
    Citation:
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  • PDF下载量:  312
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出版历程
  • 收稿日期:  2016-04-06
  • 修回日期:  2016-07-31
  • 刊出日期:  2016-10-05

像散正弦-高斯光束的分数傅里叶变换与椭圆空心光束产生

  • 1. 贵州理工学院理学院, 贵阳 550003;
  • 2. 中南大学物理与电子学院, 长沙 410083
  • 通信作者: 朱开成, kczhu058@csu.edu.cn
    基金项目: 

    贵州理工学院高层次人才引进科研启动费资助的课题.

摘要: 基于分数傅里叶变换(FrFT)关系,推导了像散正弦-高斯光束场分布的解析表达式,利用所得结果和数值方法研究了像散正弦-高斯光束在FrFT平面上的光强分布与位相特性.理论和数值分析结果都表明:像散的存在使得正弦-高斯光束在FrFT过程中从初始输入具有边缘位错的多斑花样转换为具有涡旋的暗空心椭圆花样,且其拓扑荷指数为一,而在这种转换中像散起着关键控制作用.此外,适当选择光束参数与FrFT系统结构参数,暗空心椭圆花样的长轴可以是短轴的百余倍,因此利用这一方案可获得相当细长的暗空心椭圆光束.

English Abstract

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