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周期量级飞秒脉冲电场在非线性克尔介质中的传输

刘丹 洪伟毅 郭旗

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周期量级飞秒脉冲电场在非线性克尔介质中的传输

刘丹, 洪伟毅, 郭旗

Propagation of electric field of the few-cycle femtosecond pulse in nonlinear Kerr medium

Liu Dan, Hong Wei-Yi, Guo Qi
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  • 采用时间转换法研究了周期量级飞秒脉冲电场在非线性克尔介质中的传输. 由于周期量级飞秒脉冲电场的脉宽小于介质拉曼响应的特征时间, 在传输过程中脉冲电场会发生剧烈的变形和分裂, 并在频谱上观察到了强烈的拉曼感应频移和色散波. 由于周期量级脉冲电场依赖于载波包络相位, 发现在脉冲电场传输过程中, 主脉冲电场和色散波电场的相位线性地依赖于初始脉冲的载波包络相位.
    In this paper, the propagation of a few-cycle femtosecond pulse in a nonlinear Kerr medium is studied by the method of time-transformation. The time-transformation approach can greatly improve the computational efficiency. Because the width of electric field of the few-cycle femtosecond pulse is less than the characteristic time of Raman response in a nonlinear medium, it is observed that the electric field of the pulse experiences a significant deformation and breaks into a Raman soliton and the dispersion waves during the propagation, which can be attributed to strongly nonlocal nonlinearity. A deeper investigation of the time-frequency distributions for both the Raman soliton and the dispersion waves is also included. Since the pulse contains only few cycles, the carrier-envelope phase (CEP) of the pulse plays an important role in the process of nonlinear propagation. The numerical results show the CEP-dependence in the process of nonlinear propagation: the phase changes for both the Raman soliton and the dispersive waves are just equal to the CEP change of the initial pulse, which indicates that the CEP of the pulse is linearly transmitted in the process of nonlinear propagation. This phenomenon can be attributed to the fact that the phase change due to the nonlinearity is only dependent on the intensities of the fields of both the Raman soliton and the dispersion wave, which are unchanged for all the CEPs.
      通信作者: 郭旗, guoq@scnu.edu.cn
    • 基金项目: 国家自然科学基金(批准号: 11274125, 11474109)资助的课题.
      Corresponding author: Guo Qi, guoq@scnu.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11274125, 11474109).
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    Xiao Y, Agrawal G P, Maywal D N 2011 Opt. Lett. 36 505

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    Xiao Y, Agrawal G P, Maywal D N 2012 Opt. Lett. 37 1271

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    Xiao Y, Agrawal G P, Maywal D N 2012 J. Opt. Soc. Am. B 29 2958

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    Xiao Y, Maywal D N, Agrawal G P 2013 Opt. Lett. 38 724

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    Xiao Y, Maywal D N, Agrawal G P 2013 Phys. Rev. A 87 063816

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    Zhang X B, Luo X, Cheng L, Li H Q, Peng J G, Dai N L, Li J Y 2014 Acta Phys. Sin. 63 034204 (in Chinese) [张心贲, 罗兴, 程兰, 李海清, 彭景刚, 戴能利, 李进延 2014 物理学报 63 034204]

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    Nisoli M, de Silvestri S, Svelto O, Szipcs R, Ferencz K, Spielmann C, Sartania S, Krausz F 1997 Opt. Lett. 22 522

    [2]

    Li P C, Zhou X X, Dong C Z, Zhao S F 2004 Acta Phys. Sin. 53 750 (in Chinese) [李鹏程, 周效信, 董晨钟, 赵松峰 2004 物理学报 53 750]

    [3]

    Li Q G, Chen H, Zhang X, Yi X N 2014 Chin. Phys. B 23 074206

    [4]

    Chen Z J, Ye J M, Xu Y B 2015 Chin. Phys. B 24 103203

    [5]

    Zhu J F, Du Q, Wang X L, Teng H, Han H N, Wei Z Y, Hou X 2008 Acta Phys. Sin. 57 7753 (in Chinese) [朱江峰, 杜强, 王向林, 滕浩, 韩海年, 魏志义, 侯洵 2008 物理学报 57 7753]

    [6]

    Zeng H, Wu J, Xu H, Wu K, Wu E 2004 Appl. Phys. B 79 837

    [7]

    Zeng H, Wu J, Xu H, Wu K, Wu E 2004 Phys. Rev. Lett. 92 143903

    [8]

    Zeng H, Wu J, Xu H, Wu K 2006 Phys. Rev. Lett. 96 083902

    [9]

    Agrawal G P 2001 Nonlinear Fiber Opitcs (New York: Academic Press) pp30-55

    [10]

    Liu S B, Liu S Q 2004 Chin. Phys. 13 1892

    [11]

    Xiao Y, Agrawal G P, Maywal D N 2011 Opt. Lett. 36 505

    [12]

    Xiao Y, Agrawal G P, Maywal D N 2012 Opt. Lett. 37 1271

    [13]

    Xiao Y, Agrawal G P, Maywal D N 2012 J. Opt. Soc. Am. B 29 2958

    [14]

    Xiao Y, Maywal D N, Agrawal G P 2013 Opt. Lett. 38 724

    [15]

    Xiao Y, Maywal D N, Agrawal G P 2013 Phys. Rev. A 87 063816

    [16]

    Lin Q, Agrawal G P 2006 Opt. Lett. 31 3086

    [17]

    Thomas B, Ferenc K 1997 Phys. Rev. Lett. 78 3282

    [18]

    Dudley J M, Genty G, Coen S 2006 Rev. Mod. Phys. 78 1135

    [19]

    Husakou A V, Herrmann J 2001 Phys. Rev. Lett. 87 203901

    [20]

    Akhmediev N, Karlsson M 1995 Phys. Rev. A 51 2602

    [21]

    Headley C, Agrawal G P 1996 J. Opt. Soc. Am. B 13 2170

    [22]

    Zhang X B, Luo X, Cheng L, Li H Q, Peng J G, Dai N L, Li J Y 2014 Acta Phys. Sin. 63 034204 (in Chinese) [张心贲, 罗兴, 程兰, 李海清, 彭景刚, 戴能利, 李进延 2014 物理学报 63 034204]

    [23]

    Herrmann J, Griebner U, Zhavoronkov N, Husakoul A, Nickell D, Knight J C, Wadsworth W J, Russell P S J, Korn G 2002 Phys. Rev. Lett. 88 173901

    [24]

    Cristiani I, Tediosi R, Tartara L, Degiorgio V 2004 Opt. Express 12 124

    [25]

    Skryabin D V, Yulin A V 2005 Phys. Rev. E 72 016619

    [26]

    Chang G Q, Chen L J, Krtner F X 2010 Opt. Lett. 35 2361

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出版历程
  • 收稿日期:  2015-05-01
  • 修回日期:  2015-08-31
  • 刊出日期:  2016-01-05

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