Please wait a minute...
Chin. Phys. B, 2012, Vol. 21(2): 024210    DOI: 10.1088/1674-1056/21/2/024210
GENERAL Prev   Next  

A scaling law of high-order harmonic generation

Wu Yan(吴艳)a), Ye Hui-Liang(叶会亮)a), Shao Chu-Yin(邵初寅)b), and Zhang Jing-Tao(张敬涛)a)
a. State Key Laboratory of High Field Laser Physics, Shanghai Institute of Optics and Fine Mechanics, Chinese Academy of Sciences, Shanghai 201800, China;
b. Changshu Institute of Technology, Changshu 215500, China
Abstract  Using a nonperturbative quantum electrodynamics theory of high-order harmonic generation (HHG), a scaling law of HHG is established. The scaling law states that when the atomic binding energy Eb, the wavelength $\lambda$ and the intensity I of the laser field change simultaneously to kEb, $\lambda$/k, and k3I, respectively. The characteristics of the HHG spectrum remain unchanged, while the harmonic yield is enhanced k3 times. That HHG obeys the same scaling law with above-threshold ionization is a solid proof of the fact that the two physical processes have similar physical mechanisms. The variation of integrated harmonic yields is also discussed.
Keywords:  high-order harmonic generation      scaling law      harmonic yield      nonperturbative quantum electrodynamics  
Received:  28 June 2011      Revised:  29 August 2011      Accepted manuscript online: 
PACS:  42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation)  
  32.80.Fb (Photoionization of atoms and ions)  
  32.80.Rm (Multiphoton ionization and excitation to highly excited states)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10774153 and 61078080) and the National Basic Research Program of China (Grant Nos. 2010CB923203 and 2011CB808103).
Corresponding Authors:  Zhang Jing-Tao,jtzhang@siom.ac.cn     E-mail:  jtzhang@siom.ac.cn

Cite this article: 

Wu Yan(吴艳), Ye Hui-Liang(叶会亮), Shao Chu-Yin(邵初寅), and Zhang Jing-Tao(张敬涛) A scaling law of high-order harmonic generation 2012 Chin. Phys. B 21 024210

[1] Guo D S, Zhang J T, Xu Z Z, Li X F, Fu P M and Freeman R R 2003 Phys. Rev. A 68 043404
[2] Larsson J, Mével E, Zerne R, L'Huillier A, Wahlström C G and Svanberg S 1995 J. Phys. B 28 L53
[3] Kim D S, Park J J, Lee K H, Park J and Nam C H 2009 Jpn. J. Appl. Phys. 48 026506
[4] Teubner U and Gibbon P 2009 Rev. Mod. Phys. 81 445
[5] Ganeev R A 2007 J. Phys. B 40 213(R)
[6] Wu J, Zhai Z and Liu X S 2010 Chin. Phys. B 19 093201
[7] Smirnova O, Mairesse Y, Patchkovskii S, Dudovich N, Villeneuve D, Corkum P and Ivanov M Y 2009 Nature 460 972
[8] Baker S, Robinson J S, Lein M, Chirilva C C, Torres R, Bandulet H C, Comtois D, Kieffer J C, Villeneuve D M, Tisch J W G and Marangos J P 2008 Phys. Rev. Lett. 101 053901
[9] Lin Z Z, Zhuang J and Ning X J 2010 Chin. Phys. B 19 113204
[10] Zhang C L, Qi Y Y, Liu X S and Ding P Z 2009 Acta Phys. Sin. 58 3078 (in Chinese)
[11] Blaga C I, Catoire F, Colosimo P, Paulus G G, Muller H G, Agostini P and DiMauro L F 2009 it Nat. Phys. 5 335
[12] Catoire F, Blaga C I, Sistrunk E, Muller H G, Agostini P and DiMauro L F 2009 Laser Phys. 19 1574
[13] Quan W, Lin Z, Wu M, Kang H, Liu H, Liu X, Chen J, Liu J, He X T, Chen S G, Xiong H, Guo L, Xu H, Fu Y, Cheng Y and Xu Z Z 2009 Phys. Rev. Lett. 103 093001
[14] Liu C, Nakajima T, Sakka T and Ohgaki H 2008 Phys. Rev. A 77 043411
[15] Doumy G, Wheeler J, Roedig C, Chirla R, Agostini P and DiMauro L F 2009 Phys. Rev. Lett. 102 093002
[16] Shiner A D, Trallero-Herrero C, Kajumba N, Bandulet H C, Comtois D, Leare F, Gigue M, Kieffer J C, Corkum P B and Villeneuve D M 2009 Phys. Rev. Lett. 103 073902
[17] Gibson E A, Paul A, Wagner N, Tobey R, Gaudiosi D, Backus S, Christov I P, Aquila A, Gullikson E M, Attwood D T, Murnane M M and Kapteyn H C 2003 Science 302 95
[18] Yakovlev V S, Ivanov M and Krausz F 2007 Opt. Express 15 15351
[19] Tate J, Auguste T, Muller H G, Salieres P, Agostini P and DiMauro L F 2007 Phys. Rev. Lett. 98 013901
[20] Pérez-Hernández J A, Ramos J, Roso L and Plaja L 2010 Laser Phys. 20 1044
[21] Frolov M V, Manakov N L and Starace A F 2008 Phys. Rev. Lett. 100 173001
[22] Chen J, Zeng B, Liu X, Cheng Y and Xu Z 2009 New J. Phys. 11 113021
[23] Gao L H, Li X F, Guo D S and Fu P M 1999 Chin. Phys. Lett. 16 502
[24] Gao L H, Li X F, Fu P M, Freeman R R and Guo D S 2000 Phys. Rev. A 61 063407
[25] Guo D S, Aberg T and Crasemann B 1989 Phys. Rev. A 40 4997
[26] Wang Y, Zhang J T, Ren X H and Xu Z Z 2009 Chin. Phys. B 18 4815
[27] Shan B and Chang Z 2001 Phys. Rev. A 65 011804(R)
[28] Itatani J, Levesque J, Zeidler D, Niikura H, P閜in H, Kieffer J C, Corkum P B and Villeneuve D M 2004 Nature 432 867
[29] Fu P M, Wang B B, Li X F and Gao L H 2001 Phys. Rev. A 64 063401
[30] Zhang X M, Zhang J T, Bai L H, Gong Q H and Xu Z Z 2005 Opt. Express 13 8708
[1] Spectral shift of solid high-order harmonics from different channels in a combined laser field
Dong-Dong Cao(曹冬冬), Xue-Fei Pan(潘雪飞), Jun Zhang(张军), and Xue-Shen Liu(刘学深). Chin. Phys. B, 2023, 32(3): 034204.
[2] Phase-coherence dynamics of frequency-comb emission via high-order harmonic generation in few-cycle pulse trains
Chang-Tong Liang(梁畅通), Jing-Jing Zhang(张晶晶), and Peng-Cheng Li(李鹏程). Chin. Phys. B, 2023, 32(3): 033201.
[3] Effect of laser focus in two-color synthesized waveform on generation of soft x-ray high harmonics
Yanbo Chen(陈炎波), Baochang Li(李保昌), Xuhong Li(李胥红), Xiangyu Tang(唐翔宇), Chi Zhang(张弛), and Cheng Jin(金成). Chin. Phys. B, 2023, 32(1): 014203.
[4] High-order harmonic generation of the cyclo[18]carbon molecule irradiated by circularly polarized laser pulse
Shu-Shan Zhou(周书山), Yu-Jun Yang(杨玉军), Yang Yang(杨扬), Ming-Yue Suo(索明月), Dong-Yuan Li(李东垣), Yue Qiao(乔月), Hai-Ying Yuan(袁海颖), Wen-Di Lan(蓝文迪), and Mu-Hong Hu(胡木宏). Chin. Phys. B, 2023, 32(1): 013201.
[5] Probing subcycle spectral structures and dynamics of high-order harmonic generation in crystals
Long Lin(林龙), Tong-Gang Jia(贾铜钢), Zhi-Bin Wang(王志斌), and Peng-Cheng Li(李鹏程). Chin. Phys. B, 2022, 31(9): 093202.
[6] Energy levels and magnetic dipole transition parameters for the nitrogen isoelectronic sequence
Mu-Hong Hu(胡木宏), Nan Wang(王楠), Pin-Jun Ouyang(欧阳品均),Xin-Jie Feng(冯新杰), Yang Yang(杨扬), and Chen-Sheng Wu(武晨晟). Chin. Phys. B, 2022, 31(9): 093101.
[7] Tunable spectral shift of high-order harmonic generation in atoms using a sinusoidally phase-modulated pulse
Yue Qiao(乔月), Jun Wang(王俊), Yan Yan(闫妍), Simeng Song(宋思蒙), Zhou Chen(陈洲), Aihua Liu(刘爱华), Jigen Chen(陈基根), Fuming Guo(郭福明), and Yujun Yang(杨玉军). Chin. Phys. B, 2022, 31(6): 064214.
[8] Decoding the electron dynamics in high-order harmonic generation from asymmetric molecular ions in elliptically polarized laser fields
Cai-Ping Zhang(张彩萍) and Xiang-Yang Miao(苗向阳). Chin. Phys. B, 2022, 31(4): 043301.
[9] Anomalous Hall effect of facing-target sputtered ferrimagnetic Mn4N epitaxial films with perpendicular magnetic anisotropy
Zeyu Zhang(张泽宇), Qiang Zhang(张强), and Wenbo Mi(米文博). Chin. Phys. B, 2022, 31(4): 047305.
[10] Enhancement of isolated attosecond pulse generation by using long gas medium
Yueying Liang(梁玥瑛), Xinkui He(贺新奎), Kun Zhao(赵昆), Hao Teng(滕浩), and Zhiyi Wei(魏志义). Chin. Phys. B, 2022, 31(4): 043302.
[11] Orientation and ellipticity dependence of high-order harmonic generation in nanowires
Fan Yang(杨帆), Yinghui Zheng(郑颖辉), Luyao Zhang(张路遥), Xiaochun Ge(葛晓春), and Zhinan Zeng(曾志男). Chin. Phys. B, 2022, 31(4): 044204.
[12] Multiple collisions in crystal high-order harmonic generation
Dong Tang(唐栋) and Xue-Bin Bian(卞学滨). Chin. Phys. B, 2022, 31(12): 123202.
[13] Generation of non-integer high-order harmonics and significant enhancement of harmonic intensity
Chang-Long Xia(夏昌龙), Yue-Yue Lan(兰悦跃), and Xiang-Yang Miao(苗向阳). Chin. Phys. B, 2021, 30(4): 043202.
[14] Minimum structure of high-harmonic spectrafrom aligned O2 and N2 molecules
Bo Yan(闫博), Yi-Chen Wang(王一琛), Qing-Hua Gao(高庆华), Fang-Jing Cheng(程方晶), Qiu-Shuang Jing(景秋霜), Hong-Jing Liang(梁红静), and Ri Ma(马日). Chin. Phys. B, 2021, 30(11): 114213.
[15] Role of potential on high-order harmonic generation from atoms irradiated by bichromatic counter-rotating circularly polarized laser fields
Xu-Xu Shen(申许许), Jun Wang(王俊), Fu-Ming Guo(郭福明), Ji-Gen Chen(陈基根), Yun-Jun Yang(杨玉军). Chin. Phys. B, 2020, 29(8): 083201.
No Suggested Reading articles found!