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By solving the one-dimensional time-dependent Schr?dinger equation with split-operator method, we study the high harmonics generated by helium atom, and analyse the characteristics of the attosecond pulses generated by the high-order harmonics. By adopting a mid-infrared driving pulse (with wavelength of 2000 nm and pulse duration of 12.5 fs) combined with a short UV controlling pulse, a smooth supercontinuum with the bandwidth of 230 eV is observed. By adjusting the delay between the mid-infrared and ultraviolet fields, the contribution of the short quantum trajectory can be efficiently enhanced and an isolated 100 as pulse seems achievable. We found that the supercontinuum is not sensitive to the intensities of the two lasers, which facilitates the experimental implementation for the isolated attosecond pulse generation.
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Keywords:
- high-order harmonics /
- attosecond pulse /
- supercontinuum
[1] Brabec T, Krausz F 2000 Rev. Mod. Phys. 72 545
[2] Liao Q, Lu P X, Lan P F, Cao W, Li Y H 2008 Phys. Rev. A 77 013408
[3] Zhou Y M, Liao Q, Lu P X 2009 Phys. Rev. A 80 023412
[4] Drescher M, Hentschel M, Kienberger R, Tempea G, Spielmann C, Reider G A, Corkum P B, Krausz F 2001 Science 291 1923
[5] Cao W, Lan P F, Lu P X 2006 Acta Phys. Sin. 55 2115 (in Chinese) [曹 伟、兰鹏飞、陆培祥 2006 55 2115]
[6] Corkum P 1993 Phys. Rev. Lett. 71 1994
[7] Hentschel M, Kienberger R, Spielmann C, Reider G A, Milosevic N, Brabec T, Corkum P B, Heinzmann U, Drescher M, Krausz F 2001 Nature 414 509
[8] Sansone G, Benedetti E, Calegari F, Vozzi C, Avaldi L, Flammini R, Poletto L, Villoresi P, Altucci C, Velotta R, Stagira S, de Silvestri S, Nisoli M 2006 Science 314 433
[9] Lan P F, Lu P X, Cao W, Wang X L 2007 Phys. Rev. A 76 043808
[10] Zeng Z N, Cheng Y, Song X H, Li R X, Xu Z Z 2007 Phys. Rev. Lett. 98 203901
[11] Hong W Y, Li Y H, Lu P X, Lan P F, Zhang Q B, Wang X B 2008 J. Opt. Soc. Am. B 25 1684
[12] Wang S Y, Hong W Y, Lan P F, Zhang Q B, Lu P X 2009 J. Phys. B 42 105601
[13] Cao W, Lu P X, Lan P F, Wang X L, Yang G 2007 Opt. Express 15 530
[14] Cao W, Lu P X, Lan P F, Hong W Y, Wang X L 2007 J. Phys. B 40 869
[15] Lan P F, Lu P X, Li Q G, Li F, Hong W Y, Zhang Q B 2009 Phys. Rev. A 79 043413
[16] Zheng Y H, Zeng Z N, Li X F, Chen X W, Liu P, Xiong H, Lu H, Zhao S T, Wei P F, Zhang L, Wang Z G, Liu J, Cheng Y, Li R X, Xu Z Z 2008 Opt. Lett. 33 234
[17] Lan P F, Lu P X, Cao W, Li Y H, Wang X L 2007 Phys. Rev. A 76 R051801
[18] Li Q G, Lan P F, Hong W Y, Zhang Q B, Lu P X 2009 Acta Phys. Sin. 58 5679 (in Chinese) [李钱光、兰鹏飞、洪伟毅、张庆斌、陆培祥2009 58 5679]
[19] Lan P F, Lu P X, Cao W, Wang X L, Hong W Y 2007 Opt. Lett. 32 1186
[20] Lan P F, Lu P X, Cao W, Li Y H, Wang X L 2007 Phys. Rev. A 76 021801
[21] Zheng Y H, Zeng Z N, Zou P, Zhang L, Li X F, Liu P, Li R X, Xu Z Z 2009 Phys. Rev. Lett. 103 043904
[22] Takahashi E, Kanai T, Ishikawa K, Nabekawa Y, Midorikawa K 2008 Phys. Rev. Lett. 101 253901
[23] Tate J, Auguste T, Muller H G, Saliéres P, Agostini P, DiMauro L F 2007 Phys. Rev. Lett. 98 013901
[24] Eberly J H, Su Q, Javanainen J 1989 Phys. Rev. Lett. 62 811
[25] 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 58 4914]
[26] Zhang Q B, Lu P X, Lan P F, Hong W Y, Yang Z Y 2008 Opt. Express 16 9795
[27] Ferr M D, Fleck Jr J A, Steiger A 1982 J. Appl. Phys. 47 412
[28] Burnett K, Reed V C, Cooper J, Knight P L 1992 Phys. Rev. A 45 3347
[29] Hong W Y, Lu P X, Lan P F, Zhang Q B, Wang X B 2009 Opt. Express 17 5139
[30] Li Q G, Lu P X, Lan P F, Hong W Y, Zhang Q B 2009 J. Phys. B 42 165601
[31] Hong W Y, Lu P X, Li Q G, Zhang Q B 2009 Opt. Lett. 34 2102
[32] Antoine P, L’Huillier A, Lewenstein M 1996 Phys. Rev. Lett. 76 1234
[33] Lewenstein M, Balcou P, Ivanov M Y, L’Huillier A, Corkum P B 1994 Phys. Rev. A 49 2117
[34] Mairesse Y, de Bohan A, Frasinski L J, Merdji H, Dinu L C, Monchicourtl P, Breger P, Kovaocev M, Taieb R, Carrec B, Muller H G, Agostini P, Salieres P 2003 Science 302 1540
[35] 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 58 1579]
[36] Lan P F, Lu P X, Cao W, Wang X L, Yang G 2006 Phys. Rev. A 74 063411
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[1] Brabec T, Krausz F 2000 Rev. Mod. Phys. 72 545
[2] Liao Q, Lu P X, Lan P F, Cao W, Li Y H 2008 Phys. Rev. A 77 013408
[3] Zhou Y M, Liao Q, Lu P X 2009 Phys. Rev. A 80 023412
[4] Drescher M, Hentschel M, Kienberger R, Tempea G, Spielmann C, Reider G A, Corkum P B, Krausz F 2001 Science 291 1923
[5] Cao W, Lan P F, Lu P X 2006 Acta Phys. Sin. 55 2115 (in Chinese) [曹 伟、兰鹏飞、陆培祥 2006 55 2115]
[6] Corkum P 1993 Phys. Rev. Lett. 71 1994
[7] Hentschel M, Kienberger R, Spielmann C, Reider G A, Milosevic N, Brabec T, Corkum P B, Heinzmann U, Drescher M, Krausz F 2001 Nature 414 509
[8] Sansone G, Benedetti E, Calegari F, Vozzi C, Avaldi L, Flammini R, Poletto L, Villoresi P, Altucci C, Velotta R, Stagira S, de Silvestri S, Nisoli M 2006 Science 314 433
[9] Lan P F, Lu P X, Cao W, Wang X L 2007 Phys. Rev. A 76 043808
[10] Zeng Z N, Cheng Y, Song X H, Li R X, Xu Z Z 2007 Phys. Rev. Lett. 98 203901
[11] Hong W Y, Li Y H, Lu P X, Lan P F, Zhang Q B, Wang X B 2008 J. Opt. Soc. Am. B 25 1684
[12] Wang S Y, Hong W Y, Lan P F, Zhang Q B, Lu P X 2009 J. Phys. B 42 105601
[13] Cao W, Lu P X, Lan P F, Wang X L, Yang G 2007 Opt. Express 15 530
[14] Cao W, Lu P X, Lan P F, Hong W Y, Wang X L 2007 J. Phys. B 40 869
[15] Lan P F, Lu P X, Li Q G, Li F, Hong W Y, Zhang Q B 2009 Phys. Rev. A 79 043413
[16] Zheng Y H, Zeng Z N, Li X F, Chen X W, Liu P, Xiong H, Lu H, Zhao S T, Wei P F, Zhang L, Wang Z G, Liu J, Cheng Y, Li R X, Xu Z Z 2008 Opt. Lett. 33 234
[17] Lan P F, Lu P X, Cao W, Li Y H, Wang X L 2007 Phys. Rev. A 76 R051801
[18] Li Q G, Lan P F, Hong W Y, Zhang Q B, Lu P X 2009 Acta Phys. Sin. 58 5679 (in Chinese) [李钱光、兰鹏飞、洪伟毅、张庆斌、陆培祥2009 58 5679]
[19] Lan P F, Lu P X, Cao W, Wang X L, Hong W Y 2007 Opt. Lett. 32 1186
[20] Lan P F, Lu P X, Cao W, Li Y H, Wang X L 2007 Phys. Rev. A 76 021801
[21] Zheng Y H, Zeng Z N, Zou P, Zhang L, Li X F, Liu P, Li R X, Xu Z Z 2009 Phys. Rev. Lett. 103 043904
[22] Takahashi E, Kanai T, Ishikawa K, Nabekawa Y, Midorikawa K 2008 Phys. Rev. Lett. 101 253901
[23] Tate J, Auguste T, Muller H G, Saliéres P, Agostini P, DiMauro L F 2007 Phys. Rev. Lett. 98 013901
[24] Eberly J H, Su Q, Javanainen J 1989 Phys. Rev. Lett. 62 811
[25] 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 58 4914]
[26] Zhang Q B, Lu P X, Lan P F, Hong W Y, Yang Z Y 2008 Opt. Express 16 9795
[27] Ferr M D, Fleck Jr J A, Steiger A 1982 J. Appl. Phys. 47 412
[28] Burnett K, Reed V C, Cooper J, Knight P L 1992 Phys. Rev. A 45 3347
[29] Hong W Y, Lu P X, Lan P F, Zhang Q B, Wang X B 2009 Opt. Express 17 5139
[30] Li Q G, Lu P X, Lan P F, Hong W Y, Zhang Q B 2009 J. Phys. B 42 165601
[31] Hong W Y, Lu P X, Li Q G, Zhang Q B 2009 Opt. Lett. 34 2102
[32] Antoine P, L’Huillier A, Lewenstein M 1996 Phys. Rev. Lett. 76 1234
[33] Lewenstein M, Balcou P, Ivanov M Y, L’Huillier A, Corkum P B 1994 Phys. Rev. A 49 2117
[34] Mairesse Y, de Bohan A, Frasinski L J, Merdji H, Dinu L C, Monchicourtl P, Breger P, Kovaocev M, Taieb R, Carrec B, Muller H G, Agostini P, Salieres P 2003 Science 302 1540
[35] 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 58 1579]
[36] Lan P F, Lu P X, Cao W, Wang X L, Yang G 2006 Phys. Rev. A 74 063411
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