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双曲余弦高斯列阵光束在湍流大气中的光束传输因子

刘飞 季小玲

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双曲余弦高斯列阵光束在湍流大气中的光束传输因子

刘飞, 季小玲

Beam propagation factor of cosh-Gaussian array beams propagating through atmospheric turbulence

Liu Fei, Ji Xiao-Ling
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  • 本文推导出了双曲余弦高斯(ChG)列阵光束在湍流大气中的光束传输因子( M 2因子)的解析公式,并采用相对 M 2因子研究了湍流对 M 2因子的影响.研究表明,在湍流大气中 M 2因子不再是一个传输不变量,湍流使得 M 2因子增大.非相干合成情况下, M 2因子随着传输距离、光束参数、相对子光束间距和子光束数目的增大而增大.相干合成情况下, M 2因子随光束参数和相对子光束间距的增大呈现振荡上升.相干合成情况下的 M 2因子比
    The analytical formula for the beam propagation factor ( M 2-factor) of cosh-Gaussian (ChG) array beams propagating through atmospheric turbulence is derived, and the influence of turbulence on the M 2-factor is studied by using the relative M 2-factor. It is shown that the M 2-factor is not a propagation invariant in turbulence, and the turbulence results in an increase of the M 2-factor. For the incoherent combination, the M 2-factor of ChG array beams increases with increasing propagation distance, beam parameter, relative beam separation distance and beam number. For the coherent combination, the M 2-factor of ChG array beams increases with oscillatory behavior as the beam parameter or the relative beam separation distance increases. For the coherent combination the M 2-factor is always smaller than that for the incoherent combination. However, for the incoherent combination the M 2-factor is always less sensitive to turbulence than that for the coherent combination. In particular, the influence of turbulence on the M 2-factor can be reduced by a suitable choice of the relative beam separation distance. With increasing beam number, the M 2-factor becomes more sensitive to turbulence for the coherent combination, while for the incoherent combination the M 2-factor becomes less sensitive to turbulence.
    • 基金项目: 国家自然科学基金( 批准号: 60778048)资助的课题.
    [1]

    Siegman A E 1990 Proc. SPIE 2 1224

    [2]

    Lü B D, Zhang B, Luo S R 1999 Appl. Opt. 20 4581

    [3]

    SPIE Press)

    [4]

    Zhou G 2009 Appl. Phys. B 96 149

    [5]

    Mahdieh M H 2007 Opt. Commun. 281 3395

    [6]

    Dan Y, Zhang B 2008 Opt. Expr. 16 15563

    [7]

    Lü B D, Ma H 2000 J. Opt. Soc. Am. A 17 2005

    [8]

    Tang Q J, Chen D M, Yu Y A, Hu Q Q 2006 Chin. Phys. 15 2609

    [9]

    Xiao R, Hou J, Jiang Z F 2008 Acta Phys. Sin. 57 853 (in Chinese) [肖 瑞、 侯 静、 姜宗福 2008 物理学报 57 853]

    [10]

    Ji X L, Zhang T R, Jia X H 2009 J. Opt. A: Pure Appl. Opt. 11 105705

    [11]

    Zhu Y, Zhao D, Du X 2008 Opt. Expr. 16 18437

    [12]

    Cai Y, Chen Y, Eyyuboglu H T, Baykal Y 2007 Appl. Phys. B 88 467

    [13]

    Ji X L, Zhang E T, Lü B D 2008 J. Opt. Soc. Am. B 25 825

    [14]

    Li X Q, Ji X L, Eyyubo lu H T, Baykal Y 2010 Appl. Phys. B 98 557

    [15]

    Zhang E T, Ji X L, Lü B D 2009 Chin. Phys. B 18 571

    [16]

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

    [17]

    Zhou G 2010 Opt. & Laser Technology 42 489

    [18]

    Yu S, Guo H, Fu X, Hu W 2002 Opt. Commun. 204 59

    [19]

    Deng D 2004 Phys. Lett. A 333 485

    [20]

    Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge Uinversity Press)

    [21]

    Dan Y, Zhang B 2009 Opt. Lett. 34 563

    [22]

    Serna J, Martinez-Herreor R, Mejias P M 1991 J. Opt. Soc. Am. A 8 1094

    [23]

    Andrews L C, Phillips R L 2005 Laser Beam Propagation through Random Media 2nd ed. (Bellingham, Washington:

  • [1]

    Siegman A E 1990 Proc. SPIE 2 1224

    [2]

    Lü B D, Zhang B, Luo S R 1999 Appl. Opt. 20 4581

    [3]

    SPIE Press)

    [4]

    Zhou G 2009 Appl. Phys. B 96 149

    [5]

    Mahdieh M H 2007 Opt. Commun. 281 3395

    [6]

    Dan Y, Zhang B 2008 Opt. Expr. 16 15563

    [7]

    Lü B D, Ma H 2000 J. Opt. Soc. Am. A 17 2005

    [8]

    Tang Q J, Chen D M, Yu Y A, Hu Q Q 2006 Chin. Phys. 15 2609

    [9]

    Xiao R, Hou J, Jiang Z F 2008 Acta Phys. Sin. 57 853 (in Chinese) [肖 瑞、 侯 静、 姜宗福 2008 物理学报 57 853]

    [10]

    Ji X L, Zhang T R, Jia X H 2009 J. Opt. A: Pure Appl. Opt. 11 105705

    [11]

    Zhu Y, Zhao D, Du X 2008 Opt. Expr. 16 18437

    [12]

    Cai Y, Chen Y, Eyyuboglu H T, Baykal Y 2007 Appl. Phys. B 88 467

    [13]

    Ji X L, Zhang E T, Lü B D 2008 J. Opt. Soc. Am. B 25 825

    [14]

    Li X Q, Ji X L, Eyyubo lu H T, Baykal Y 2010 Appl. Phys. B 98 557

    [15]

    Zhang E T, Ji X L, Lü B D 2009 Chin. Phys. B 18 571

    [16]

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

    [17]

    Zhou G 2010 Opt. & Laser Technology 42 489

    [18]

    Yu S, Guo H, Fu X, Hu W 2002 Opt. Commun. 204 59

    [19]

    Deng D 2004 Phys. Lett. A 333 485

    [20]

    Mandel L, Wolf E 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge Uinversity Press)

    [21]

    Dan Y, Zhang B 2009 Opt. Lett. 34 563

    [22]

    Serna J, Martinez-Herreor R, Mejias P M 1991 J. Opt. Soc. Am. A 8 1094

    [23]

    Andrews L C, Phillips R L 2005 Laser Beam Propagation through Random Media 2nd ed. (Bellingham, Washington:

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  • PDF下载量:  672
  • 被引次数: 0
出版历程
  • 收稿日期:  2010-01-02
  • 修回日期:  2010-05-10
  • 刊出日期:  2011-01-15

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