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By solving numerically the time-dependent Schrödinger equation with the split-operator method, we investigate the characteristic of the high-order harmonic of one-dimensional helium atom exposed to two laser pulses with the same color and half cycle pulses. It is shown that the harmonic spectrum is extended to Ip+9.6Up in the case of the combined fields, and an isolated 63 as pulse can be obtained by superposing the high-order harmonic spectra generated around the cut-off position. An analysis shows that the plateau of the high-order harmonic spectrum is extended greatly and the contribution of the long electron trajectory is suppressed by adding the half cycle pulses.
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Keywords:
- two laser pulses with the same color /
- half cycle pulses /
- high-order harmonic /
- attosecond pulse
[1] 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 2008 Science 320 1614
[2] Drescher M, Hentschel M, Kienberger R, Uiberacker M, Yakovlev V, Scrinzi A, Westerwalbesloh T, Kleineberg U, Heinzmann U, Krausz F 2002 Nature 419 803
[3] Krausz F, Ivanov M 2009 Rev. Mod. Phys. 81 163
[4] Scrinzi A, Ivanov M Y, Kienberger R, Villeneuve D M 2006 J. Phys. B 39 R1
[5] Winterfeldt C, Spielmann C, Gerber G 2008 Rev. Mod. Phys. 80 117
[6] Corkum P B 1993 Phys. Rev. Lett. 71 1994
[7] Sansone G, Beendetti E, Calegari F, Vozzi C, Avaldi L, Flammini R, Poletto L, Villoresi P, Altucci C, Velotta R, Stagira S, Silvestri S D, Nisoli M 2006 Science 314 443
[8] Zeng Z N, Cheng Y, Song X H, Li R X, Xu Z Z 2007 Phys. Rev. Lett. 98 203901
[9] Zhang G T, Liu X S 2009 J. Phys. B 42 125603
[10] Ye X L, Zhou X X, Zhao S F, Li P C 2009 Acta Phys .Sin. 58 1579 (in Chinese)[叶小亮、周效信、赵松峰、李鹏程 2009 物理学报 58 1579]
[11] Hong W Y, Yang Z Y, Lan P F, Zhang Q B, Li Q G, Lu P X 2009 Acta Phys .Sin. 58 4914(in Chinese)[洪伟毅、杨振宇、 兰鹏飞、张庆斌、李钱光、陆培祥 2009 物理学报 58 4914] 〖12] Lu R F, He H X, Guo Y H, Han K L 2009 J. Phys. B 42 225601
[12] Bandulet H C, Comtois D, Bisson E, Fleischer A, Pépin H, Kieffer J C, Corkum P B, Villeneuve D M 2010 Phys. Rev. A 81 013803
[13] Orlando G, Corso P P, Fiordilino E, Persico F 2009 J. Mod. Opt. 56 1761
[14] Xiang Y, Niu Y P, Gong S Q 2009 Phys. Rev. A 79 053419
[15] Zhao S F, Zhou X X, Li P C, Chen Z J 2008 Phys. Rev. A 78 063404
[16] Li P C, Zhou X X,Wang G L, Zhao Z X 2009 Phys. Rev. A 80 053825
[17] Li P C, Zhou X X, Dong C Z, Zhao S F 2004 Acta Phys. Sin. 53 750 (in Chinese) [李鹏程、周效信、董晨钟、赵松峰 2004 物理学报 53 750]
[18] Burnett K, Reed V C, Cooper J, Knight P L 1992 Phys. Rev. A 45 3347
[19] Antoine P, Piraux B, Maquet A 1995 Phys. Rev. A 51 R1750
[20] Pérez-Hernández J A, Hoffmann D J, Zair A, Chipperfield L E, Plaja L, Ruiz C, Marangos J P, Roso L 2009 J. Phys. B 42 134004
[21] Lewenstein M, Balcou P, Ivanov M Y, L’Huillier A, Corkum P B 1994 Phys. Rev. A 49 2117
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[1] 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 2008 Science 320 1614
[2] Drescher M, Hentschel M, Kienberger R, Uiberacker M, Yakovlev V, Scrinzi A, Westerwalbesloh T, Kleineberg U, Heinzmann U, Krausz F 2002 Nature 419 803
[3] Krausz F, Ivanov M 2009 Rev. Mod. Phys. 81 163
[4] Scrinzi A, Ivanov M Y, Kienberger R, Villeneuve D M 2006 J. Phys. B 39 R1
[5] Winterfeldt C, Spielmann C, Gerber G 2008 Rev. Mod. Phys. 80 117
[6] Corkum P B 1993 Phys. Rev. Lett. 71 1994
[7] Sansone G, Beendetti E, Calegari F, Vozzi C, Avaldi L, Flammini R, Poletto L, Villoresi P, Altucci C, Velotta R, Stagira S, Silvestri S D, Nisoli M 2006 Science 314 443
[8] Zeng Z N, Cheng Y, Song X H, Li R X, Xu Z Z 2007 Phys. Rev. Lett. 98 203901
[9] Zhang G T, Liu X S 2009 J. Phys. B 42 125603
[10] Ye X L, Zhou X X, Zhao S F, Li P C 2009 Acta Phys .Sin. 58 1579 (in Chinese)[叶小亮、周效信、赵松峰、李鹏程 2009 物理学报 58 1579]
[11] Hong W Y, Yang Z Y, Lan P F, Zhang Q B, Li Q G, Lu P X 2009 Acta Phys .Sin. 58 4914(in Chinese)[洪伟毅、杨振宇、 兰鹏飞、张庆斌、李钱光、陆培祥 2009 物理学报 58 4914] 〖12] Lu R F, He H X, Guo Y H, Han K L 2009 J. Phys. B 42 225601
[12] Bandulet H C, Comtois D, Bisson E, Fleischer A, Pépin H, Kieffer J C, Corkum P B, Villeneuve D M 2010 Phys. Rev. A 81 013803
[13] Orlando G, Corso P P, Fiordilino E, Persico F 2009 J. Mod. Opt. 56 1761
[14] Xiang Y, Niu Y P, Gong S Q 2009 Phys. Rev. A 79 053419
[15] Zhao S F, Zhou X X, Li P C, Chen Z J 2008 Phys. Rev. A 78 063404
[16] Li P C, Zhou X X,Wang G L, Zhao Z X 2009 Phys. Rev. A 80 053825
[17] Li P C, Zhou X X, Dong C Z, Zhao S F 2004 Acta Phys. Sin. 53 750 (in Chinese) [李鹏程、周效信、董晨钟、赵松峰 2004 物理学报 53 750]
[18] Burnett K, Reed V C, Cooper J, Knight P L 1992 Phys. Rev. A 45 3347
[19] Antoine P, Piraux B, Maquet A 1995 Phys. Rev. A 51 R1750
[20] Pérez-Hernández J A, Hoffmann D J, Zair A, Chipperfield L E, Plaja L, Ruiz C, Marangos J P, Roso L 2009 J. Phys. B 42 134004
[21] Lewenstein M, Balcou P, Ivanov M Y, L’Huillier A, Corkum P B 1994 Phys. Rev. A 49 2117
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