Please wait a minute...
Chin. Phys. B, 2013, Vol. 22(6): 064215    DOI: 10.1088/1674-1056/22/6/064215
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Extension of high-order harmonic cutoff frequency by synthesizing waveform of laser field via optimization of classical electron trajectory in laser field

Zhao Di (赵迪), Li Fu-li (李福利)
Department of Applied Physics, Xi'an Jiaotong University, Xi'an 710049, China
Abstract  We theoretically investigate the high-order harmonic generation by employing the strong-field approximation (SFA) and present a new approach to the extension of the high-order harmonic cutoff frequency via an exploration of the dependence of high-order harmonic generation on the waveform of laser fields. The dependence is investigated via a detailed analysis of the classical trajectories of the ionized electron moving in the continuum in the velocity-position plane. The classical trajectory consists of three sections (Acceleration Away, Deceleration Away, and Acceleration Back), and their relationship with the electron recollision energy is investigated. The analysis of classical trajectories indicates that, besides the final (Acceleration Back) section the electron recollision energy also relies on the previous two sections. We simultaneously optimize the waveform in all the three sections to increase the electron recollision energy, and an extension of the cutoff frequency up to Ip+20.26Up is presented with a theoretically synthesized waveform of the laser field.
Keywords:  high-order harmonic generation      classical electron trajectory      cutoff frequency extension  
Received:  17 December 2012      Revised:  30 January 2013      Accepted manuscript online: 
PACS:  42.65.Ky (Frequency conversion; harmonic generation, including higher-order harmonic generation)  
  32.80.Wz  
Fund: Project supported by the National Basic Research Program of China (Grant No. 2010CB923102), the Special Prophase Project on the National Basic Research Program of China (Grant No. 2011CB311807), and the National Natural Science Foundation of China (Grant No. 11074199).
Corresponding Authors:  Zhao Di     E-mail:  zhaodifrog@gmail.com

Cite this article: 

Zhao Di (赵迪), Li Fu-li (李福利) Extension of high-order harmonic cutoff frequency by synthesizing waveform of laser field via optimization of classical electron trajectory in laser field 2013 Chin. Phys. B 22 064215

[1] 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
[2] Seres E, Seres J, Krausz F and Spielmann C 2004 Phys. Rev. Lett. 92 163002
[3] Takahashi E J, Kanai T, Ishikawa K L, Nabekawa Y and Midorikawa K 2008 Phys. Rev. Lett. 101 253901
[4] L'Huillier A and Balcou P 1993 Phys. Rev. Lett. 70 774
[5] Ravasio A, Gauthier D and Maia F R N C 2009 Phys. Rev. Lett. 103 028104
[6] Winterfeldt C, Spielmann C and Gerber G 2008 Rev. Mod. Phys. 80 117
[7] Kapteyn H C, Murnane M M and Christov I P 2005 Phys. Today 58 39
[8] Corkum P B 1993 Phys. Rev. Lett. 71 1994
[9] Zhang X, Lytle A L, Popmintchev T, Zhou X, Kapteyn H C, Murnane M M and Cohen O 2007 Nat. Phys. 3 270
[10] Zepf M, Dromey B, Landreman M, Foster P and Hooker S M 2007 Phys. Rev. Lett. 99 143901
[11] Steingrube D S, Vockerodt T, Schulz E, Morgner U and Kovačev M 2009 Phys. Rev. A 80 043819
[12] Tate J, Auguste T, Muller H G, Sali'eres P, Agostini P and Dimauro L F 2007 Phys. Rev. Lett. 98 013901
[13] Colosimo P, Doumy G, Blaga C I, Wheeler J, Hauri C, Catoire F, Tate J, Chirla R, March A M, Paulus G G, Muller H G, Agostini P and Dimauro L F 2008 Nat. Phys. 4 386
[14] Chipperfield L E, Robinson J S, Tisch J W G and Marangos J P 2009 Phys. Rev. Lett. 102 063003
[15] Pfeifer T, Gallmann L, Abel M J, Nagel P M, Neumark D M and Leone S R 2006 Phys. Rev. Lett. 97 163901
[16] Hong W, Lu P, Lan P, Yang Z, Li Y and Liao Q 2008 Phys. Rev. A 77 033410
[17] Zhang G T, Wu J, Xia C L and Liu X S 2009 Phys. Rev. A 80 055404
[18] Song X, Zeng Z, Fu Y, Cai B, Li R, Cheng Y and Xu Z 2007 Phys. Rev. A 76 043830
[19] Wu J, Zhang G T, Xia C L and Liu X S 2010 Phys. Rev. A 82 013411
[20] Zeng Z, Cheng Y, Song X, Li R and Xu Z 2007 Phys. Rev. Lett. 98 203901
[21] Zhai Z and Liu X S 2008 J. Phys. B: At. Mol. Opt. Phys. 41 125602
[22] Lan P, Lu P, Cao W, Li Y and Wang X 2007 Phys. Rev. A 76 011402
[23] Faria C F, Dörr M, Becker W and Sandner W 1999 Phys. Rev. A 60 1377
[24] Li X X, Xu Z Z and Mao L Q 1997 Acta Phys. Sin. (Overseas Edition, i.e. Chin. Phys.) 6 197
[25] Ye X L, Zhou X X, Zhao S F and Li P C 2009 Acta Phys. Sin. 58 1579 (in Chinese)
[26] Xiang Y, Niu Y and Gong S 2009 Phys. Rev. A 79 053419
[27] Carrera J J and Chu S I 2007 Phys. Rev. A 75 033807
[28] Xu J, Zeng B and Yu Y 2010 Phys. Rev. A 82 053822
[29] Xiao J, Sun Z R, Wang Y F, Deng L, Zhang X Y, Chen G L, Zhang W P, Wang Z G, Xu Z Z and Li R X 2005 Chin. Phys. Lett. 22 873
[30] Bao M Q and Starace A F 1996 Phys. Rev. A 53 R3723
[31] Milošević D B and Starace A F 1999 Phys. Rev. Lett. 82 2653
[32] Milošević D B and Starace A F 1999 Phys. Rev. A 60 3160
[33] Odžak S and Milošević D B 2005 Phys. Rev. A 72 033407
[34] Wang B B, Li X F and Fu P M 1995 Chin. Phys. Lett. 15 195
[35] Hong W, Lu P, Cao W, Lan P and Wang X 2007 J. Phys. B: At. Mol. Opt. Phys. 40 2321
[36] Moreno P, Plaja L and Roso L 1997 Phys. Rev. A 55 R1593
[37] Numico R, Moreno P, Plaja L and Roso L 1998 J. Opt. Soc. Am. B 31 4163
[38] Bandrauk A D, Barmaki S and Kamta G L 2007 Phys. Rev. Lett. 98 013001
[39] Lewenstein M, Balcou Ph, Ivanov M Y, L'Huillier A and Corkum P B 1994 Phys. Rev. A 49 2117
[40] Lai X Y, Cai Q Y and Zhan M S 2009 New J. Phys. 11 113035
[41] Pérez-Hernández J A, Hoffmann D J, Zaïr A, Chipperfield L E, Plaja L, Ruiz C, Marangos J P and Roso L 2009 J. Phys. B: At. Mol. Opt. Phys. 42 134004
[42] Milošević D B 2006 J. Opt. Soc. Am. B 23 308
[1] 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.
[2] 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.
[3] 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.
[4] 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.
[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] 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.
[7] 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.
[8] 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.
[9] 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.
[10] 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.
[11] 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.
[12] 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.
[13] 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.
[14] Multiphoton quantum dynamics of many-electron atomic and molecular systems in intense laser fields
Peng-Cheng Li(李鹏程), Shih-I Chu. Chin. Phys. B, 2020, 29(8): 083202.
[15] Semi-integer harmonic generation from an argon atom by bichromatic counter-rotating circularly polarized laser field
Tong Qi(齐桐), Xiao-Xin Huo(霍晓鑫), Jun Zhang(张军), Xue-Shen Liu(刘学深). Chin. Phys. B, 2020, 29(5): 053201.
No Suggested Reading articles found!