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拉盖尔-高斯光束在湍流大气中的螺旋谱特性

黎芳 唐华 江月松 欧军

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拉盖尔-高斯光束在湍流大气中的螺旋谱特性

黎芳, 唐华, 江月松, 欧军

Spiral spectrum of Laguerre-Gaussian beams propagating in turbulent atmosphere

Li Fang, Tang Hua, Jiang Yue-Song, Ou Jun
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  • 研究了拉盖尔-高斯光束在湍流大气中的传输特性.在利托夫近似下,得到接收孔径处光束的螺旋谱的积分表达式.通过数值仿真得出大气湍流对光束螺旋谱的影响以及光束螺旋谱随各参数值的变化特性.仿真发现大气湍流会使螺旋谱发生弥散.而且随着拓扑荷,接收孔径半径,折射率结构函数及距离的增加,螺旋谱弥散加剧.经拟合得到描述螺旋谱弥散程度的无量纲方差V随距离成6次函数关系;与接收孔径半径及折射率结构函数成二项式关系;而与拓扑荷呈11次多项式关系.最后得出径向指数,束腰半径对螺旋谱的影响非常小,并且根据此结论推出光
    An analysis of the propagation of Laguerre-Gaussian beam in fluctuation turbulent atmosphere is performed. Under the Rytov approximation, the integral expression of the spiral spectrum of the beam at the receiver aperture is obtained. It is found that the atmospheric turbulence will induce the spread of the spiral spectrum. With increasing topological charge, propagation distance, refractive index structure constant and radius of receiver aperture, the spectrum spread becomes more serious. It is also shown that the dimensionless variance describing the degree of the spread is a quadratic function of the refractive index structure constant and the radius of receiver aperture respectively, while it is an 11th order function of the topological charge and a 6th order function of the propagation distance. The analytical expression of the spiral spectrum is derived by taking account of the simulation results that both radial index and waist radius have little effect on the spiral spectrum.
    • 基金项目: CAST创新基金和北京航空航天大学博士研究生创新基金(批准号:292129)资助的课题.
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    Allen L, Beijersbergen M W, Spreeuw R J, Woerdman J P 1992 Phys. Rev. A 45 8185

    [2]

    Sueda K, Miyaji G, Miyanaga N, Nakatsuka M 2004 Opt. Exp. 12 3548

    [3]

    Hasegawa T, Shimizu T 1999 Opt. Commun. 160 103

    [4]

    Liu Y D, Gao C Q, Gao M W 2008 Chin. Phys. B 17 1769

    [5]

    Chen Y F, Lan Y P, Wang S C 2001 Appl. Phys. B: Lasers & Opt. 72 167

    [6]

    Torner L, Torres J, Carrasco S 2005 Opt. Exp. 13 873

    [7]

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

    [8]

    O'Neil A, Padgett M 2001 Opt. Commun. 193 45

    [9]

    Mair A, Vaziri A, Weihs G, Zellinger A 2001 Nature 412 313

    [10]

    Bouchal Z, Celechovsky R 2004 New J.Phys. 6 131

    [11]

    Gibson G, Courtial J, Padgett M J, Vasnetsov M, Pas’ko V, Barnett S M, Franke-Arnold S 2004 Opt. Exp. 12 5448

    [12]

    Li F, Jiang Y S, Tang H, Wang H Y 2009 Acta Phys. Sin. 58 6202(in Chinese)[黎 芳、江月松、唐 华、王海洋 2009 物理学报58 6202]

    [13]

    Lü H, Ke X Z 2009 Acta Phys. Sin. 58 8302(in Chinese)[吕 宏、柯熙政 2009 物理学报58 8302]

    [14]

    Molina-Terriza G, Torres J, Torner L 2001 Phys. Rev. Lett. 88 13601

    [15]

    Wang F, Cai Y, Korotkova O 2009 Opt. Exp. 17 22366

    [16]

    Maleev I D, Swartzlander J G A 2003 J. Opt. Soc. Am. B 20 1169

    [17]

    Orlov S, Regelskis K, Smilgevi ius V, Stabinis A 2002 Opt. Commun. 209 155

    [18]

    Alieva T, Bastiaans M J 2004 Proceedings of SPIE, Bellingham,2004,1138

    [19]

    Gonzalez N, Molina-Terriza G, Torres J P 2006 Opt. Exp. 14 9093

    [20]

    Cai Y, He S 2006 Appl. Phys. B: Lasers & Opt. 84 493

    [21]

    Singh R P, Roychowdhury S, Jaiswal V K 2006 J. Mod. Opt. 53 1803

    [22]

    Seshadri S R 2002 Opt. Lett. 27 1872

    [23]

    Simon R, Agarwal G S 2000 Opt. Lett. 25 1313

    [24]

    Paterson C 2005 Phys. Rev. Lett. 94 153901

    [25]

    Anguita J, Neifeld M, Vasic B 2008 Appl. Opt. 47 2414

    [26]

    Rao R Z 2009 Chin. Phys. B 18 581

    [27]

    Gbur G, Tyson R K 2008 J. Opt. Soc. Am. A 25 225

    [28]

    Zhu K C, Zhou G Q, Li X G, Zheng X J, Tang H Q 2008 Opt. Exp. 16 21315

    [29]

    Chen B S, Chen Z Y, Pu J X 2008 Opt. & Laser Tech. 40 820

    [30]

    Wang T, Pu J X, Chen Z Y 2008 Opt. Eng. 47 036002

    [31]

    Li F, Gao C Q, Liu Y D, Gao M W 2008 Acta Phys. Sin. 57 860(in Chinese)[李 丰、高春清、刘义东、高明伟 2008 物理学报57 860]

    [32]

    Zhang Y X, Tang M X, Tao C K 2005 Chin. Opt. Lett. 3 559

    [33]

    Cai Y. 2006 J. Opt. A: Pure Appl. Opt. 8 537

    [34]

    Gradshteyn I S, Ryzhik I M 2007 Table Of Integrals, Series And Products 7Ed (Salt Lake City: Academic Press) P933,P340

    [35]

    Zambrini R, Barnett S M 2006 Phys. Rev. Lett. 96 113901

  • [1]

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

    [2]

    Sueda K, Miyaji G, Miyanaga N, Nakatsuka M 2004 Opt. Exp. 12 3548

    [3]

    Hasegawa T, Shimizu T 1999 Opt. Commun. 160 103

    [4]

    Liu Y D, Gao C Q, Gao M W 2008 Chin. Phys. B 17 1769

    [5]

    Chen Y F, Lan Y P, Wang S C 2001 Appl. Phys. B: Lasers & Opt. 72 167

    [6]

    Torner L, Torres J, Carrasco S 2005 Opt. Exp. 13 873

    [7]

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

    [8]

    O'Neil A, Padgett M 2001 Opt. Commun. 193 45

    [9]

    Mair A, Vaziri A, Weihs G, Zellinger A 2001 Nature 412 313

    [10]

    Bouchal Z, Celechovsky R 2004 New J.Phys. 6 131

    [11]

    Gibson G, Courtial J, Padgett M J, Vasnetsov M, Pas’ko V, Barnett S M, Franke-Arnold S 2004 Opt. Exp. 12 5448

    [12]

    Li F, Jiang Y S, Tang H, Wang H Y 2009 Acta Phys. Sin. 58 6202(in Chinese)[黎 芳、江月松、唐 华、王海洋 2009 物理学报58 6202]

    [13]

    Lü H, Ke X Z 2009 Acta Phys. Sin. 58 8302(in Chinese)[吕 宏、柯熙政 2009 物理学报58 8302]

    [14]

    Molina-Terriza G, Torres J, Torner L 2001 Phys. Rev. Lett. 88 13601

    [15]

    Wang F, Cai Y, Korotkova O 2009 Opt. Exp. 17 22366

    [16]

    Maleev I D, Swartzlander J G A 2003 J. Opt. Soc. Am. B 20 1169

    [17]

    Orlov S, Regelskis K, Smilgevi ius V, Stabinis A 2002 Opt. Commun. 209 155

    [18]

    Alieva T, Bastiaans M J 2004 Proceedings of SPIE, Bellingham,2004,1138

    [19]

    Gonzalez N, Molina-Terriza G, Torres J P 2006 Opt. Exp. 14 9093

    [20]

    Cai Y, He S 2006 Appl. Phys. B: Lasers & Opt. 84 493

    [21]

    Singh R P, Roychowdhury S, Jaiswal V K 2006 J. Mod. Opt. 53 1803

    [22]

    Seshadri S R 2002 Opt. Lett. 27 1872

    [23]

    Simon R, Agarwal G S 2000 Opt. Lett. 25 1313

    [24]

    Paterson C 2005 Phys. Rev. Lett. 94 153901

    [25]

    Anguita J, Neifeld M, Vasic B 2008 Appl. Opt. 47 2414

    [26]

    Rao R Z 2009 Chin. Phys. B 18 581

    [27]

    Gbur G, Tyson R K 2008 J. Opt. Soc. Am. A 25 225

    [28]

    Zhu K C, Zhou G Q, Li X G, Zheng X J, Tang H Q 2008 Opt. Exp. 16 21315

    [29]

    Chen B S, Chen Z Y, Pu J X 2008 Opt. & Laser Tech. 40 820

    [30]

    Wang T, Pu J X, Chen Z Y 2008 Opt. Eng. 47 036002

    [31]

    Li F, Gao C Q, Liu Y D, Gao M W 2008 Acta Phys. Sin. 57 860(in Chinese)[李 丰、高春清、刘义东、高明伟 2008 物理学报57 860]

    [32]

    Zhang Y X, Tang M X, Tao C K 2005 Chin. Opt. Lett. 3 559

    [33]

    Cai Y. 2006 J. Opt. A: Pure Appl. Opt. 8 537

    [34]

    Gradshteyn I S, Ryzhik I M 2007 Table Of Integrals, Series And Products 7Ed (Salt Lake City: Academic Press) P933,P340

    [35]

    Zambrini R, Barnett S M 2006 Phys. Rev. Lett. 96 113901

计量
  • 文章访问数:  7101
  • PDF下载量:  906
  • 被引次数: 0
出版历程
  • 收稿日期:  2009-12-21
  • 修回日期:  2010-03-12
  • 刊出日期:  2011-01-15

拉盖尔-高斯光束在湍流大气中的螺旋谱特性

  • 1. 北京航空航天大学电子信息工程学院,北京 100191
    基金项目: CAST创新基金和北京航空航天大学博士研究生创新基金(批准号:292129)资助的课题.

摘要: 研究了拉盖尔-高斯光束在湍流大气中的传输特性.在利托夫近似下,得到接收孔径处光束的螺旋谱的积分表达式.通过数值仿真得出大气湍流对光束螺旋谱的影响以及光束螺旋谱随各参数值的变化特性.仿真发现大气湍流会使螺旋谱发生弥散.而且随着拓扑荷,接收孔径半径,折射率结构函数及距离的增加,螺旋谱弥散加剧.经拟合得到描述螺旋谱弥散程度的无量纲方差V随距离成6次函数关系;与接收孔径半径及折射率结构函数成二项式关系;而与拓扑荷呈11次多项式关系.最后得出径向指数,束腰半径对螺旋谱的影响非常小,并且根据此结论推出光

English Abstract

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