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势函数对强激光辐照下原子高次谐波辐射的影响

刘艳 贾成 郭福明 杨玉军

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势函数对强激光辐照下原子高次谐波辐射的影响

刘艳, 贾成, 郭福明, 杨玉军

Influence of atomic potential on the generation of high harmonic generation from the atoms irradiated by mid-infrared laser pulses

Liu Yan, Jia Cheng, Guo Fu-Ming, Yang Yu-Jun
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  • 理论上研究了中红外强激光分别与长程库仑原子和短程势模型原子相互作用产生的高次谐波辐射. 发现在相同激光参数条件下, 与长程库仑原子的谐波辐射相比, 短程原子具有更低的辐射效率, 但在高频区域(接近cutoff位置), 二者效率相似. 通过对谐波辐射的时间频率分析发现, 在短程模型原子谐波辐射中, 长轨道发挥更重要的作用. 利用其产生的高次谐波辐射, 可以产生孤立阿秒脉冲.
    By numerically solving the time dependent Schrodinger equation, the harmonic spectra generated from the atoms are obtained. The atomic potentials are modeled by a short-range potential and a long-range soft Coulomb potential, respectively. It is found that using the same laser parameters, the intensity of harmonic spectrum from the short-range atom is lower than the one from the long-range atom. However, in a high energy (near the cutoff) region of harmonic spectra, their conversion efficiencies are almost the same. The differences in emission intensity among harmonic spectra decrease as the harmonic energy increases. We calculate the time dependent probabilities of the ground state and ionization. It is found that the ionization probability of the long-range potential is larger than that of the short-range potential. There is no large difference in ground probability between the potentials of two models. The high harmonic generation is a stimulated process, and its intensity is proportional to the product between the amplitude for ground state and the amplitude of the continuum state. Thus the product of the long-range atom is larger than that of the short-range atom, and the emission spectrum presents a similar character. In order to analyze the mechanism of the intensity difference between two models, we perform a time-frequency analysis of the harmonic emission spectrum. The analysis is selected of the wavelet of the time dependent dipole moment. From the emission profile of the harmonic analysis, we find that the harmonic generated from long orbit plays a dominant role for the short-range atom. The amplitudes of electric field are large for the long orbit harmonic emission, thus the ionization mechanism of the atom is the tunnel ionization. For the short orbit, the instant field for the ionization is weak. Thus the short orbit plays a small role in the harmonic emission from the short-range atom. Using this feature of the short-range atom, we generate an isolated attosecond pulse. The short model atom is widely used to study the ionization of the plasma. Thus this work will contribute to the research on the high-order harmonic generation from the plasma.
      通信作者: 郭福明, guofm@jlu.edu.cn
    • 基金项目: 国家重点基础研究计划(批准号: 2013CB922200)、国家自然科学基金(批准号: 11274141, 11304116, 11534004)和吉林省科学基金(批准号:20140101168JC)资助的课题.
      Corresponding author: Guo Fu-Ming, guofm@jlu.edu.cn
    • Funds: Project supported by the National Basic Research Program of China (Grant No. 2013CB922200), the National Natural Science Foundation of China (Grants Nos. 11274141, 11304116, 11534004), and the Jilin Provincial Research Foundation for Basic Research, China (Grant No. 20140101168JC).
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    Brabec T, Krauze F 2000 Rev. Mod. Phys. 72 545

    [3]

    Paul P M, Toma E S, Breger P 2001 Science 292 1689

    [4]

    Winterfeldt C, Spielmann C, Gerber G 2008 Rev. Mod. Phys. 80 117

    [5]

    Kamta G L, Bandrauk A D 2006 Phys. Rev. A 74 033415

    [6]

    Meckel M, Comtois D, Zeidler D, Staudte A, Pavicic D 2008 Science 320 1478

    [7]

    Wang J, Chen G, Guo F M, Li S Y, Chen J G, Yang Y J 2013 Chin. Phys. B 22 033203

    [8]

    Blaga C I, Xu J L, Dichiara A D, Sistrunk E, Zhang K, Agostini P, Miller T A, DiMauro L F, Lin C D 2012 Nature 483 194

    [9]

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

    [10]

    10 Sansone G, Benedetti E, Calegari F, Vozzi C, Avaldi L, Flammini R, Poletto L, Villoresi P, Altucci C, Velotta R, Stagira S 2006 Science 314 443

    [11]

    Corkum P B, Krausz F 2007 Nature Phys. 3 381

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

    [13]

    Popmintchev T, Chen M C, Popmintchev D, Kapteyn C 2012 Science 336 1827

    [14]

    Harris G M 1962 Phys. Rev. 125 1131

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    Faria C F M, Kopold R, Becker W, Rost J M 2002 Phys. Rev. A 65 023404

    [16]

    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]

    [17]

    Tian Y Y, Li S Y, Wei S S, Guo F M, Zeng S L, Chen J G, Yang Y J 2014 Chin. Phys. B 23 053202

    [18]

    Song Y, Li S Y, Liu X S, Guo F M, Yang Y J 2013 Phys. Rev. A 88 05319

    [19]

    Wei S S, Li s Y, Guo F M, Yang Y J, Wang B B 2013 Phys. Rev. A 87 063418

    [20]

    Yang Y J, Chen J G, Chi F P, Zhu Q R, Zhang H X 2007 Chin. Phys. Lett. 24 1537

    [21]

    Wang J, Wang B B, Guo F M, Li S Y, Ding D J, Chen J G, Zeng S L, Yang Y J 2014 Chin. Phys. B 23 053201

    [22]

    Su Q, Eberly J H 1991 Phys. Rev. A 44 5997

    [23]

    Puckhov A, Gordienko S, Baeva T 2003 Phys. Rev. Lett. 91 173003

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出版历程
  • 收稿日期:  2015-10-19
  • 修回日期:  2015-11-24
  • 刊出日期:  2016-02-05

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