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Extension of high-order harmonic cutoff frequency by synthesizing waveform of laser field via optimization of classical electron trajectory in laser field |
Zhao Di, Li Fu-li |
Department of Applied Physics, Xi'an Jiaotong University, Xi'an 710049, China |
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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.
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Received: 17 December 2012
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42.65.Ky
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(Frequency conversion; harmonic generation, including higher-order harmonic generation)
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32.80.Wz
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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
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E-mail: zhaodifrog@gmail.com
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[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
|
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