吸收多个远紫外光子生成的高次谐波的多重截止结构

俞祖卿; 何峰

doi:10.7498/aps.65.224206

摘要

本文通过数值求解含时薛定谔方程研究He+在远紫外和红外激光场作用下产生高次谐波的过程.在电子隧穿并从红外激光场获得能量后，其在与母离子碰撞过程中可能吸收额外的远紫外光子，并导致高次谐波中出现以远紫外光子能量为间隔的多重截止结构.我们进一步通过傅里叶频谱分析的方法证实了这一结构产生的物理机制；并分析了高次谐波的多重截止频率强度和远紫外强度的关系.我们的研究为产生高能量谐波提供了一种方案.

关键词:

High harmonic generation (HHG) is one of the most fundamental processes in the interaction of strong laser fields with atoms and molecules. Because of wide applications of HHG, for example, imaging atomic or molecular orbitals, visualizing chemical reactions, synthesizing a single attosecond pulse, the HHG attracts huge attentions in both theories and experiments. The HHG can be explained by the famous three-step model:first, the laser field bends the Coulomb potential and the electron tunnels out; second, the electron is accelerated in the laser field and gains kinetic energy; Third, the energetic electron recombines with the parent ion and release its energy as high energetic photons. The HHG can be tailored by controlling the each step. In this paper, we conceive a strategy to control the third step. We simulate the HHG when He+ is exposed to the combined few-cycle Ti-Sapphire (800 nm) IR femtosecond laser pulse and XUV laser pulse by numerically solving the time dependent Schrdinger equation. The simulation shows that after the electron tunnels out and gains energies from the infrared laser field, extra XUV photons may be absorbed during the electron and parent ion recombination, contributing multiple cutoffs separated by XUV photon energies in the high harmonic spectrum. This scenario is confirmed by time-delay-dependent HHG in the time-frequency representation, and by the power scaling of the cutoffs' intensities as a function of the XUV intensity.

Keywords:

作者及机构信息

俞祖卿,
何峰

1.
激光等离子体教育部重点实验室, IFSA协同创新中心, 上海交通大学物理与天文系, 上海 200240

通信作者: 何峰, fhe@sjtu.edu.cn

基金项目: 国家自然科学基金（批准号：11104180，11175120，11121504，11322438，11574205）资助的课题.

Authors and contacts

Yu Zu-Qing,
He Feng

1.
Key Laboratory for Laser Plasmas(Ministry of Education), Department of Physics and Astronomy, Collaborative innovation center of IFSA, Shanghai Jiao Tong University, Shanghai 200240, China

Corresponding author: He Feng, fhe@sjtu.edu.cn

Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11104180, 11175120, 11121504, 11322438, 11574205).

参考文献

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施引文献

[1]	Babrec T, Krausz F 2000Rev. Mod. Phys. 72 545
[2]	Krausz F, Ivanov M 2009Rev. Mod. Phys. 81 163
[3]	Kohler M C, Pfeifer T, Hatsagortsyan K Z, Keitel C H 2012Adv. At. Mol. Opt. Phys. 61 159
[4]	Itatani J, Levesque J, Zeidler D, Niikura H, Pepin H, Kieffer J C, Corkum P B, Villeneuve D M 2004Nature 432 867
[5]	Haessler S, Caillat J, Boutu W, Giovanetti-Teixeira C, Ruchon T, Auguste T, Diveki Z, Breger P, Maquet A, Carre B, Taieb R, Salieres P 2010Nature Physics 6 200
[6]	Smirnova O, Mairesse Y, Patchkovskii S, Dudovich N, Villeneuve D, Corkum P, Ivanov M Y 2009Nature 460 972
[7]	Wöner H J, Bertrand J B, Kartashov D V, Corkum P B, Villeneuve D M 2010Nature 466 604
[8]	Sansone G, Benedetti E, Calegari F, Vozzi C, Avaldi L, Flammini R, Poletto L, Villoresi P, Altucci C, Velotta R, Stagira S, Silvestri S D, Nisoli M 2006Science 314 443
[9]	Pfeifer T, Jullien A, Abel M J, Nagel P M, Gallmann L, Neumark D M, Leone S R 2007Optics Express 15 17120
[10]	Goulielmakis E, Schultze M, Hofstetter M, Yakovlev V S, Gagnon J, Uiberacker M, Aquila A L, Gullikson E M, Attwood D T, Kienberger R, Krausz F, Kleineberg U 2008Science 320 1614
[11]	Mashiko H, Gilbertson S, Li S, Khan S D, Shakya M M, Moon E, Chang Z 2008Phys. Rev. Lett. 100 103906
[12]	Ferrari F, Calegari F, Lucchini M, Vozzi C, Stagira S, Sansone G, Nisoli M 2010Nature Photonics 4 875
[13]	Krause J L, Schafer K J, Kulander K C 1992Phys. Rev. Lett. 68 3535
[14]	Corkum P B 1993Phys. Rev. Lett. 71 1994
[15]	Liu J C, Kohler M C, Keitel C H, Hatsagortsyan K Z 2011Phys. Rev. A 84 063817
[16]	Zeng Z, Li R, Cheng Y, Yu W, Xu Z 2002Physica Scripta 66 321
[17]	Ishikawa K 2003Phys. Rev. Lett. 91 043002
[18]	Heinrich A, Kornelis W, Anscombe M P, Hauri C P, Schlup P, Biegert J, Keller U 2006J. Phys. B 39 S275
[19]	Takahashi E J, Kanai T, Ishikawa K L, Nabekawa Y, Midorikawa K 2007Phys. Rev. Lett. 99 053904
[20]	Kim I J, Kim C M, Kim H T, Lee G H, Lee Y S, Park J Y, Cho D J, Nam C H 2005Phys. Rev. Lett. 94 243901
[21]	Lan P, Lu P, Cao W, Li Y, Wang X 2007Phys. Rev. A 76 051801
[22]	Zeng Z, Cheng Y, Song X, Li R, Xu Z 2007Phys. Rev. Lett. 98 203901
[23]	Chipperfield L E, Robinson J S, Tisch J W G, Marangos J P 2009Phys. Rev. Lett. 102 063003
[24]	Wu J, Zhang G T, Xia C L, Liu X S 2010Phys. Rev. A 82 013411
[25]	Kohler M, Hatsagortsyan K Z 2013JOSA B 30 57
[26]	Dudovich N, Smirnova O, Levesque J, Mairesse Y, Ivanov M Y, Villeneuve D M, Corkum P B 2006Nature Physics 2 781
[27]	Klaiber M, Kohler M C, Hatsagortsyan K Z, Keitel C H 2012Phys. Rev. A 85 063829
[28]	Adams B W, Buth C, Cavaletto S M, Evers J, Harman Z, Keitel C H, Palffy A, Picon A, Röhlsberger R, Rostovtsev Y, Kenji Y 2013J. Mod. Opt. 60 2
[29]	Kohler M C, Keitel C H, Hatsagortsyan K Z 2011Optics Express 19 4411
[30]	Fleischer A 2008Phys. Rev. A 78 053413
[31]	Buth C, Kohler M, Ullrich J, Keitel C H 2011Opt. Lett. 36 3530
[32]	Buth C 2015Eur. Phys. J. D 69 234
[33]	Buth C, He F, Ullrich J, Keitel C H, Hatsagortsyan K Z 2013Phys. Rev. A 88 033848
[34]	He F 2012Phys. Rev. A 86 063415
[35]	Kohler M C, Ott C, Raith P, Heck R, Schlegel I, Keitel C H, Pfeifer T 2010Phys. Rev. Lett. 105 203902
[36]	Popruzhenko S V, Zaretsky D F, Becker W 2010Phys. Rev. A 81 063417
[37]	Bertrand J B, Wörner H J, Bandulet H C, Bisson E, Spanner M, Kieffer J C, Villeneuve D M, Corkum P B 2011Phys. Rev. Lett. 106 023001
[38]	Hickstein D D, Ranitovic P, Witte S, Tong X M, Huismans Y, Arpin P, Zhou X, Keister K E, Hogle C W, Zhang B, Ding C, Johnsson P, Toshima N, Vrakking M J J, Murnane M M, Kapteyn H C 2012Phys. Rev. Lett. 109 073004
[39]	Tong X M, Ranitovic P, Hickstein D D, Murnane M M, Kapteyn H C, Toshima N 2013Phys. Rev. A 88 013410
[40]	Sarachik E S, Schappert G T 1970Phys. Rev. D 1 2738
[41]	He F, Yu W, Lu P, Xu H, Qian L, Shen B, Yuan X, Li R, Xu Z 2003Phys. Rev. E 68 046407
[42]	Smirnova O, Patchkovskii S, Spanner M 2007Phys. Rev. Lett. 98 123001

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