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By numerically solving the time-dependent Schrödinger equation with the interaction between one-dimensional multi-well potential and the mid-infrared few-cycle femtosecond pulses, we theoretically investigate the high-order harmonic generation spectra in a crystal, further find the cutoff frequency formula under the new condition. Our results clearly show that the high order harmonic generation in the crystal is fundamentally different from that in the atomic case, owing to the high density and periodic structure. The harmonics spectrum shows a cutoff position that scales linearly with the peak amplitude of electric field of the drive laser and the lattice parameters. Based on the important role of the three-step model obtained by quasi-calssical mechanics method in gas harmonic generation, in this paper, this method is also well used to verify the cutoff position law in crystal harmonic generation.
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Keywords:
- mid-infrared femtosecond pulses /
- crystal /
- high order harmonic generation /
- cutoff frequency
[1] Papadogiannis N A, Witzel B, Kalpouzos C, Charalambidis D 1999 Phys. Rev. Lett. 83 4289
[2] Hentschel M, Kienberger R, Spielmann C, Reider G A, Milosevic N 2001 Nature 414 509
[3] Baltuska A, Udem T H, Baltuska A, Uiberacker M, Hentschel M, Goulielmakis E, Gohle C H, Holzwarth R, Yakovlev V S, Scrinzi A, Hansch T W, Krausz F 2003 Nature 421 611
[4] Sansone G, Benedetti 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
[5] MePherson A, Gibson G, Jara H, Johann U, Luk T S, McIntyre I A, Boyer K, Rhodes C K 1987 J. Opt. Soc. Am. B 4 595
[6] Pukhov A 2006 Nature Phys. 2 439
[7] Zhao K, Zhang Q, Chini M, Wu Y, Wang X W, Chang Z H 2012 Opt. Lett. 37 3891
[8] Ghimire S, DiChiara A D, Sistrunk E, Agostini P, DiMauro L F, Reis D A 2011 Nature Phys. 7 138
[9] Corkum P B 1993 Phys. Rev. Lett. 71 1994
[10] Liu S, Chen G, Chen J G, Zhu Q R 2009 Acta Phys. Sin. 58 1574 (in Chinese) [刘硕, 陈高, 陈基根, 朱颀人 2009 物理学报 58 1574]
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[1] Papadogiannis N A, Witzel B, Kalpouzos C, Charalambidis D 1999 Phys. Rev. Lett. 83 4289
[2] Hentschel M, Kienberger R, Spielmann C, Reider G A, Milosevic N 2001 Nature 414 509
[3] Baltuska A, Udem T H, Baltuska A, Uiberacker M, Hentschel M, Goulielmakis E, Gohle C H, Holzwarth R, Yakovlev V S, Scrinzi A, Hansch T W, Krausz F 2003 Nature 421 611
[4] Sansone G, Benedetti 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
[5] MePherson A, Gibson G, Jara H, Johann U, Luk T S, McIntyre I A, Boyer K, Rhodes C K 1987 J. Opt. Soc. Am. B 4 595
[6] Pukhov A 2006 Nature Phys. 2 439
[7] Zhao K, Zhang Q, Chini M, Wu Y, Wang X W, Chang Z H 2012 Opt. Lett. 37 3891
[8] Ghimire S, DiChiara A D, Sistrunk E, Agostini P, DiMauro L F, Reis D A 2011 Nature Phys. 7 138
[9] Corkum P B 1993 Phys. Rev. Lett. 71 1994
[10] Liu S, Chen G, Chen J G, Zhu Q R 2009 Acta Phys. Sin. 58 1574 (in Chinese) [刘硕, 陈高, 陈基根, 朱颀人 2009 物理学报 58 1574]
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