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激光脉冲啁啾影响双色激光场诱导气体产生太赫兹辐射特性的理论研究

李翰楠 彭滟

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激光脉冲啁啾影响双色激光场诱导气体产生太赫兹辐射特性的理论研究

李翰楠, 彭滟

Theoretical study of influence of laser pulse chirp on terahertz emission characteristics of gas induced by two-color laser field

Li Han-Nan, Peng Yan
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  • 随着太赫兹波研究的深入, 研究者们对可调控太赫兹源的需求不断增加. 如何获取可调控的太赫兹波一直是太赫兹科学领域的研究热点和关键问题之一. 本文通过建立双色激光诱导气体电离光丝产生太赫兹波及其后续传播过程的三维理论模型, 详细研究了双色泵浦激光的啁啾参数对飞秒激光场辐射产生太赫兹波的影响. 研究结果表明, 在激光脉宽为飞秒量级时, 以40 fs的情况为例, 当啁啾参数在与激光脉宽处于相同的飞秒量级尺度上时, 其对太赫兹波的振幅与频谱都产生显著影响. 在双色飞秒激光场中, 基频波和倍频波的啁啾各自起到不同的作用: 基频波的啁啾主要影响太赫兹波的时域波形, 而倍频波的啁啾则决定了太赫兹辐射的振幅大小、中心频率与频谱宽度. 研究表明, 激光啁啾作为一种可控的参数, 对所辐射的太赫兹波属性具有多重调制效果, 且相关啁啾的作用规律随双色激光的初始相位也呈现规律性变化. 这些结果为研究太赫兹辐射的产生与调控提供了新的思路与依据.
    With the development of terahertz (THz) wave research, the demand for controllable THz sources is increasing. How to obtain the regulated THz waves has been one of the research hotspots and key problem in the field of THz science. There have been researches in which the resulting THz wave is modulated by changing the wavelength, relative phase, energy, or chirp of the laser produced by a two-color laser. In this work, we establish a three-dimensional theoretical model of THz wave generation and subsequent propagation induced by two-color laser. And we investigate the influence of chirp modulation of different laser on THz wave by chirp modulation of the fundamental wave (FW) and the second harmonic wave (SHW) of two-color laser, including THz wave amplitude, THz wave center frequency and spectrum width, and analyze the physical mechanism of related phenomena. At the same time, the effects of different orders of magnitudes of laser chirp parameters (femtosecond and picosecond) and initial phase of laser pulse on THz wave parameters are also studied. The results are shown below. 1) In the two-color laser, the chirp of FW mainly affects the shape of THz wave when the initial phase is unchanged. The chirp modulation of SHW can cause the amplitude of THz wave to change significantly, and affect the center frequency and spectrum width of THz waves. 2) In the case of laser pulse width of femtosecond order, 40 fs is taken as an example. When the chirp parameter is of femtosecond magnitude, the chirp parameter has a great influence on the THz wave generation efficiency of two-color laser filament. At the picosecond magnitude, the chirp parameter has a weak effect on the THz wave energy and mainly affects the phase of the THz wave. 3) The initial phase of the two-color laser can aid in chirp modulation of THz wave to optimize the energy generated. 4) The initial phase of two-color laser can assist in the process of chirped laser modulation of terahertz waves to optimize the energy generated. Our research shows that the chirp modulation, as a controllable parameter, has multiple regulation effect on the properties of radiated THz waves. The related research results provide a new idea and basis for studying the generation and regulation of THz waves.
      通信作者: 彭滟, py@usst.edu.cn
    • 基金项目: 国家自然科学基金(批准号: 61988102, 62335012)资助的课题.
      Corresponding author: Peng Yan, py@usst.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 61988102, 62335012).
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  • 图 1  不同啁啾情况下的(a), (d), (g)双色激光合成电场与电子密度、(b), (e), (h)太赫兹波形以及(c), (f), (i)太赫兹频谱 (a)—(c)无啁啾情况; (d)—(f)仅基频波中存在正啁啾的情况; (g)—(i)仅倍频波中存在正啁啾的情况下

    Fig. 1.  (a), (d), (g) Two-color laser synthetic electric field and electron density, (b), (e), (h) terahertz waveform and (c), (f), (i) terahertz spectrum of two-color laser with different chirps: (a)–(c) There is no chirp; (d)–(f) there is a positive chirp in the fundamental wave (FW); (g)–(i) there is a positive chirp in the second harmonic wave (SHW).

    图 2  负啁啾情况下的(a), (d)双色激光合成电场与电子密度、(b), (e)太赫兹波形以及(c), (f)太赫兹频谱 (a)—(c)在基频波中存在负啁啾的情况; (d)—(f)在倍频波中存在负啁啾的情况

    Fig. 2.  (a), (d) Synthesized electric field and electron density, (b), (e) terahertz waveform and (c), (f) terahertz spectrum of two-color laser with negative chirps: (a)–(c) There is a negative chirp in the FW; (d)–(f) there is a negative chirp in the SHW.

    图 3  双色激光中同时存在啁啾情况下的(a), (d)双色激光合成电场与电子密度、(b), (e)太赫兹波形以及(c), (f)太赫兹频谱 (a)—(c)同时存在正啁啾的情况; (d)—(f)同时存在负啁啾的情况

    Fig. 3.  (a), (d) Two-color laser synthetic electric field and electron density, (b), (e) terahertz waveform and (c), (f) terahertz spectrum of two-color laser with chirp exist simultaneously in the case of chirp in two-color laser at the same time: (a)—(c) There are positive chirps in two-color laser; (d)—(f) there are negative chirps in two-color laser.

    图 4  双色激光中存在相反啁啾情况下的(a), (d)双色激光合成电场与电子密度、(b), (e)太赫兹波形以及(c), (f)太赫兹频谱 (a)—(c)在基频波中存在正啁啾, 倍频波中存在负啁啾的情况; (d)—(f)在基频波中存在负啁啾, 倍频波中存在正啁啾的情况

    Fig. 4.  (a), (d) Two-color laser synthetic electric field and electron density, (b), (e) terahertz waveform and (c), (f) terahertz spectrum of two-color laser with opposite chirp: (a)–(c) There is positive chirp in FW and negative chirp in SHW; (d)–(f) there is negative chirp in FW and positive chirp in SHW.

    图 5  (a)无啁啾情况与基频波存在正啁啾情况下0 fs时刻附近电场; (b)两种情况下各自产生的电流

    Fig. 5.  (a) Electric field near the 0 fs time when there is no chirp and the FW has a positive chirp; (b) the current generated in each case.

    图 6  (a)不同初始相位和啁啾调制情况下太赫兹能量的变化; 倍频波中存在正啁啾情况下, 太赫兹能量最大值时(初始相位0.4π)的(b)太赫兹时域图和(c)太赫兹频域图; 双色激光中同时存在正啁啾情况下, 太赫兹能量最大值时(初始相位0.6π)的(d)太赫兹时域图和(e)太赫兹频域图

    Fig. 6.  (a) Variation in THz energy under different initial phases and chirp modulation; (b) terahertz time domain diagram and (c) terahertz frequency domain diagram for the maximum terahertz energy with positive chirp in SHW (initial phase 0.4π); (d) terahertz time domain diagram and (e) terahertz frequency domain diagram for the maximum terahertz energy (initial phase 0.6π) with positive chirp in two-color laser.

    图 7  (a)当啁啾参数τ为ps量级即τ = 1 ps时, 不同初始相位和啁啾调制情况下太赫兹能量的变化; 倍频波中存在正啁啾情况下, 太赫兹能量最大值时(初始相位0.4π)的(b)太赫兹时域图和(c)太赫兹频域图; 双色光中同时存在正啁啾情况下, 太赫兹能量最大值时(初始相位0.7π)的(d)太赫兹时域图和(e)太赫兹频域图

    Fig. 7.  (a) When the chirped parameter τ is of ps magnitude, that is, τ = 1 ps, the variation in THz energy under different initial phases and chirp modulation. (b) Terahertz time domain diagram and (c) terahertz frequency domain diagram for the maximum terahertz energy with positive chirp in SHW (initial phase 0.4π). (d) Terahertz time domain diagram and (e) terahertz frequency domain diagram for the maximum terahertz energy (initial phase 0.7π) with positive chirp in two-color laser.

    图 8  太赫兹能量与啁啾量的关系, 图右侧为基频波中存在正啁啾情况, 左侧为基频波中存在负啁啾情况

    Fig. 8.  Relationship between terahertz energy and chirp. On the right is a positive chirp in the FW, and on the left is a negative chirp in the FW.

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    Bianco F, Miseikis V, Convertino D, Xu J H, Castellano F, Beere H E, Ritchie D A, Vitiello M S, Tredicucci A, Coletti C 2015 Opt. Express 23 11632Google Scholar

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    Adam A J L, Planken P C M, Meloni S, Dik J 2009 Opt. Express 17 3407Google Scholar

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    Han C, Chen Y 2018 IEEE. Commun. Mag. 56 96Google Scholar

    [5]

    Hu X, Zhou L, Wu X, Peng Y 2023 Adv. Photonics Nexus 2 044002Google Scholar

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    Peng Y, Huang J, Luo J, Yang Z, Wang L, Wu X, Zang X, Yu C, Gu M, Hu Q, Zhang X, Zhu Y, Zhuang S 2021 Photoni X 2 12Google Scholar

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    Peng Y, Shi C, Zhu Y, Gu M, Zhuang S 2020 PhotoniX 1 12Google Scholar

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    Hassani A, Dupuis A, Skorobogatiy M 2008 J. Opt. Soc. Am. B 25 1771Google Scholar

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    王磊, 肖芮文, 葛士军, 沈志雄, 吕鹏, 胡伟, 陆延青 2019 物理学报 68 084205Google Scholar

    Wang L, Xiao R W, Ge S J, Shen Z X, Lü P, Hu W, Lu Y Q 2019 Acta Phys. Sin. 68 084205Google Scholar

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    Ding J, Maestrini A, Gatilova L, Cavanna A, Shi S, Wu W 2017 J. Infrared, Millimeter, Terahertz Waves 38 1331Google Scholar

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    Wang B, Shan S Y, Wu X J, Wang C, Pandey C, Nie T X, Zhao W S, Li Y T, Miao J G, Wang L 2019 Appl. Phys. Lett. 115 121104Google Scholar

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    Tonouchi M 2007 Nat. Photonics 1 97Google Scholar

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    Yan Z J, Shi W 2021 Acta Phys. Sin. 70 248704Google Scholar

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出版历程
  • 收稿日期:  2023-11-14
  • 修回日期:  2023-12-06
  • 上网日期:  2023-12-22
  • 刊出日期:  2024-03-20

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