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A scheme of the large frequency shift for high-order harmonic generation (HHG) produced by atomic gas driven by an asymmetric laser pulse is proposed in the tunneling ionization regime. By numerically solving the three-dimensional time-dependent Schrodinger equation in the dipole approximation, we theoretically investigate the characteristics of HHG emitted from hydrogen atom driven by the laser pulse with different rising and falling times. Our results show that the HHG spectra of atomic H in cutoff region present a strong redshift and blueshift. The shift can be adjusted by varying the rising time or falling time of the laser pulse. The time frequency analysis, reveals that the reason for the frequency shift comes from different contributions from the rising time or falling time in the asymmetric laser pulse. If the contributed harmonics during the falling time is larger than that during the falling time, the red shift of HHG occurs. otherwise the blue shift appears. Therefore, by shaping the laser pulse waveform, the frequency of atomic HHG for a given order in the cutoff region in the tunneling ionization regime is tunable, which can cover the frequency range from the odd order to the adjacent even order.
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Keywords:
- Keywards: asymmetric laser waveform /
- high-order harmonics /
- redshift /
- blushift
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图 1 (a)下降类激光脉冲波形; (b)氢原子发射的高次谐波谱, 箭头表示谐波频移的方向
Figure 1. (a) Waveform of laser pulse in falling type; (b) HHG spectra of H atom(arrow indicates the direction of frequency shift).
图 2 (a) (b) 下降类第I, III型激光脉冲波形; (c) (d)相应高次谐波的时频分析
Figure 2. (a) (b) Laser waveform I, III in falling type; (c) (d) time-frequency profile of theHHG spectra.
图 3 (a) 上升类激光脉冲波形; (b)氢原子发射的高次谐波谱, 箭头表示谐波频移的方向
Figure 3. (a) Waveform of laser pulse in rising type; (b) HHG spectra of H atom(arrow indicates the direction of frequency shift).
图 4 (a) (b)上升类第I, III种激光脉冲; (c) (d)相应高次谐波的时频分析
Figure 4. (a) (b) Laser waveform I, III in rising type; (c) (d) time-frequency profile of the HHG spectra.
图 5 (a) (b) H65阶谐波在第III种激光场下的红移、蓝移量; (c) H61和H65谐波的红移量 (蓝移量)与激光强度变化率之间的关系
Figure 5. (a) (b) The redshift, blueshift of H65 in laser waveform III, respectively; (c) the redshift (blueshift) of H61 and H65 with the rate of change of laser intensity.
图 6 (a) H61和 (b) H65阶谐波的时间轮廓(下降类第III种激光场作用)
Figure 6. Fig.6, The time profile of H61 (a) and H65 (b) in the laser waveform III of the falling type, respectively.
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[1] Winterfeldt C, Spielmann C, Gerber G 2008 Rev. Mod. Phys. 80 117
Google Scholar
[2] Kohler M C, Pfeifer T, Hatsagortsyan K Z, Keitel C H 2012 Adv. Atom. Mol. Opt. Phys. 61 159
Google Scholar
[3] Ravasio A, Gauthier D, Maia F R N C, Billon M, Caumes J P, Garzella D, Géléoc M, Gobert O, Hergott J F, Pena A M, Perez H, Carré B, Bourhis E, Gierak J, Madouri A, Mailly D, Schiedt B, Fajardo M, Gautier J, Zeitoun P, Bucksbaum P H, Hajdu J, Merdji H 2009 Phys. Rev. Lett. 103 028104
Google Scholar
[4] Corkum P B, Krausz F 2007 Nat. Phys. 3 381
Google Scholar
[5] Calegari F, Sansone G, Stagiraand S, Vozzi C, Nisoli M 2016 J. Phys. B:At. Mol. Opt. Phys. 49 062001
Google Scholar
[6] Villeneuve D M 2018 Contemp. Phys. 59 47
Google Scholar
[7] Jiao Z H, Wang G L, Li P C, Zhou X X 2014 Phys. Rev. A 90 025401
Google Scholar
[8] Morishita T, Le A T, Chen Z, Lin C D 2008 Phys. Rev. Lett. 100 013903
Google Scholar
[9] Itatani J, Levesquel J, Zeidler D, Niikura H, Pépin H, Kieffer J C, Corkum P B, Villeneuve D M 2004 Nature 432 867
Google Scholar
[10] Corkum P B 1993 Phys. Rev. Lett. 71 1994
Google Scholar
[11] Protopapas M, Keitel C H, Knight P L 1997 Rep. Prog. Phys. 60 389
Google Scholar
[12] Miao J, Ishikawa T, Robinson I K, Murnane M M 2015 Science 348 530
Google Scholar
[13] Miyazaki K, Takada H 1995 Phys. Rev. A 52 3007
Google Scholar
[14] Du H, Xue S, Wang H, Zhang Z, Hu B 2015 Phys. Rev. A 91 063844
Google Scholar
[15] BianX B, Bandrauk A D 2014 Phys. Rev. Lett. 113 193901
Google Scholar
[16] Shin H J, Lee D G, Cha Y H, Hong K H, Nam C H 1999 Phys. Rev. Lett. 83 2544
Google Scholar
[17] Weiner A M 2011 Opt. Commun. 284 3669
Google Scholar
[18] 姚云华, 卢晨晖, 徐淑武, 丁晶新, 贾天卿, 张诗按, 孙真荣 2014 63 184201
Google Scholar
Yao Y H, Lu C H, Xu S W, Ding J X, Jia T Q, Zhang S A, Sun Z R 2014 Acta Phys. Sin. 63 184201
Google Scholar
[19] Stebbings S L, Süßmann F, Yang Y Y, Scrinzi A, Durach M, Rusina A, Stockman M I, Kling M F 2011 New J. Phys. 13 073010
Google Scholar
[20] Han Y C, Madsen L B 2010 Phys. Rev. A 81 063430
Google Scholar
[21] Tong X M, Chu S I 1997 Chem. Phys. 217 119
Google Scholar
[22] Antoine P, Pirauxand B, Maquet A 1995 Phys. Rev. A 51 R1750
Google Scholar
[23] Kan C, Capjack C E, Rankin R, Burnett N H 1995 Phys. Rev. A 52 R4336
Google Scholar
[24] Tong X M, Chu S I 2000 Phys. Rev. A 61 021802(R)
[25] Lewenstein M, Salières P, L’Huillier A 1995 Phys. Rev. A 52 4747
Google Scholar
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