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相对论质量修正效应对超高次谐波的影响

郭福明 陈基根 杨玉军 曾思良

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相对论质量修正效应对超高次谐波的影响

郭福明, 陈基根, 杨玉军, 曾思良

Mass shift effect on relativistic high-order harmonic generation

Guo Fu-Ming, Chen Ji-Gen, Yang Yu-Jun, Zeng Si-Liang
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  • 通过分别求解含时狄拉克方程和含时薛定谔方程, 研究了一维模型原子在相对论超强激光脉冲作用下的超高次谐波发射过程. 研究结果表明: 在弱场强条件下, 相对论的模拟结果可以退化到非相对论的结果; 随着场强的增强, 可以逐渐观察到明显的相对论质量修正效应. 此外, 根据发展的相对论的"三步"模型并结合小波时频分析方法, 分析了谐波平台的截止位置和发射效率.
    By solving the time-dependent Dirac and Schrödinger equations, we investigate the super high-order harmonic generation (HHG) from a one-dimensional model atom in a relativistic intense laser pulse. Our numerical simulations show that the relativistic results can be degraded to non-relativistic ones in the weak laser field, and the clear effect of the relativistic mass-shift can be gradually observed as the increase of the laser field intensity. Furthermore, the cutoff frequency and the emission efficiency of the HHG spectrum are analyzed by the wavelet time-frequency analysis and the relativistic "three-step" model.
    • 基金项目: 国家自然科学基金(批准号: 10904006, 11034003, 11105015, 11075023);浙江省自然科学基金(批准号: Y6110578)和中国工程物理研究院科学技术发展基金(批准号: 2011B0102026, 2011A0102007) 的资助课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 10904006, 11034003, 11105015, 11075023), the Natural Science Foundation of Zhejiang Province (Grant No. Y6110578), and Science and Technology Funds of China Academy of Engineering Physics (Grant No. 2011B0102026, 2011A0102007).
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    Ferray M, L'Huillier A, Li X F, Lompre L A, Mainfray G, Manus C 1988 J. Phys. B 21 L31

    [2]

    Itatani J, Levesqure J, Zeidler D, Niikura H, Pepin H, Kieffer J C, Corkum P B, Villeneuve D M 2004 Nature 432 867

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    Agostini P, DiMauro L F 2004 Rep. Prog. Phys. 67 813

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    Krausz F, Ivanov M 2009 Rev. Mod. Phys. 81 163

    [5]

    Corkum P B 1993 Phys. Rev. Lett. 71 1994

    [6]

    Milosevic N, Krainov V P, Brabec T 2002 Phys. Rev. Lett. 89 193001

    [7]

    Avetissian H K, Markossian A G, Mkrtchian G F 2011 Phys. Rev. A 8 013418

    [8]

    Ye D F, Xin G G, Liu J, He X T 2010 J. Phys. B 43 235601

    [9]

    Mocken G R, Keitel C H 2008 Comput. Phys. Commun. 178 868

    [10]

    Zhou Z Y, Zhao Z X, Yuan J M 2011 Phys. Scr. T144 014048

    [11]

    Hu S X, Keitel C H 2001 Phys. Rev. A 63 053402

    [12]

    Guo F M, Yang Y J, Jin M X, Ding D J, Zhu Q R 2009 Chin. Phys. Lett. 26 053201

    [13]

    Chen J G, Yang Y J, Yu X P, He L J, Xu Y Y 2011 Acta Phys. Sin. 60 053206 (in Chinese) [陈基根, 杨玉军, 俞旭萍, 何龙君, 徐圆圆 2011 物理学报 60 053206]

    [14]

    Chen J G, Yang Y J, Chen Y 2011 Acta Phys. Sin. 60 033202 (in Chinese) [陈基根, 杨玉军, 陈漾 2011 物理学报 60 033202]

    [15]

    Zeng S L, Zou S Y, Yan J 2009 Chin. Phys. Lett. 26 053202

    [16]

    Chen J G, Zeng S L, Yang Y J 2010 Phys. Rev. A 82 043401

    [17]

    Chen J G, Yang Y J, Zeng S L, Liang H Q 2011 Phys. Rev. A 83 023401

    [18]

    Kylstra N J, Ermolaev A M, Joachain C J 1997 J. Phys. B 30 L449

  • [1]

    Ferray M, L'Huillier A, Li X F, Lompre L A, Mainfray G, Manus C 1988 J. Phys. B 21 L31

    [2]

    Itatani J, Levesqure J, Zeidler D, Niikura H, Pepin H, Kieffer J C, Corkum P B, Villeneuve D M 2004 Nature 432 867

    [3]

    Agostini P, DiMauro L F 2004 Rep. Prog. Phys. 67 813

    [4]

    Krausz F, Ivanov M 2009 Rev. Mod. Phys. 81 163

    [5]

    Corkum P B 1993 Phys. Rev. Lett. 71 1994

    [6]

    Milosevic N, Krainov V P, Brabec T 2002 Phys. Rev. Lett. 89 193001

    [7]

    Avetissian H K, Markossian A G, Mkrtchian G F 2011 Phys. Rev. A 8 013418

    [8]

    Ye D F, Xin G G, Liu J, He X T 2010 J. Phys. B 43 235601

    [9]

    Mocken G R, Keitel C H 2008 Comput. Phys. Commun. 178 868

    [10]

    Zhou Z Y, Zhao Z X, Yuan J M 2011 Phys. Scr. T144 014048

    [11]

    Hu S X, Keitel C H 2001 Phys. Rev. A 63 053402

    [12]

    Guo F M, Yang Y J, Jin M X, Ding D J, Zhu Q R 2009 Chin. Phys. Lett. 26 053201

    [13]

    Chen J G, Yang Y J, Yu X P, He L J, Xu Y Y 2011 Acta Phys. Sin. 60 053206 (in Chinese) [陈基根, 杨玉军, 俞旭萍, 何龙君, 徐圆圆 2011 物理学报 60 053206]

    [14]

    Chen J G, Yang Y J, Chen Y 2011 Acta Phys. Sin. 60 033202 (in Chinese) [陈基根, 杨玉军, 陈漾 2011 物理学报 60 033202]

    [15]

    Zeng S L, Zou S Y, Yan J 2009 Chin. Phys. Lett. 26 053202

    [16]

    Chen J G, Zeng S L, Yang Y J 2010 Phys. Rev. A 82 043401

    [17]

    Chen J G, Yang Y J, Zeng S L, Liang H Q 2011 Phys. Rev. A 83 023401

    [18]

    Kylstra N J, Ermolaev A M, Joachain C J 1997 J. Phys. B 30 L449

计量
  • 文章访问数:  6013
  • PDF下载量:  496
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-04-12
  • 修回日期:  2012-05-29
  • 刊出日期:  2012-09-05

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