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By solving the time-dependent Dirac and Schrödinger equations, we investigate the super high-order harmonic generation (HHG) from a one-dimensional model atom in a relativistic intense laser pulse. Our numerical simulations show that the relativistic results can be degraded to non-relativistic ones in the weak laser field, and the clear effect of the relativistic mass-shift can be gradually observed as the increase of the laser field intensity. Furthermore, the cutoff frequency and the emission efficiency of the HHG spectrum are analyzed by the wavelet time-frequency analysis and the relativistic "three-step" model.
[1] Ferray M, L'Huillier A, Li X F, Lompre L A, Mainfray G, Manus C 1988 J. Phys. B 21 L31
[2] Itatani J, Levesqure J, Zeidler D, Niikura H, Pepin H, Kieffer J C, Corkum P B, Villeneuve D M 2004 Nature 432 867
[3] Agostini P, DiMauro L F 2004 Rep. Prog. Phys. 67 813
[4] Krausz F, Ivanov M 2009 Rev. Mod. Phys. 81 163
[5] Corkum P B 1993 Phys. Rev. Lett. 71 1994
[6] Milosevic N, Krainov V P, Brabec T 2002 Phys. Rev. Lett. 89 193001
[7] Avetissian H K, Markossian A G, Mkrtchian G F 2011 Phys. Rev. A 8 013418
[8] Ye D F, Xin G G, Liu J, He X T 2010 J. Phys. B 43 235601
[9] Mocken G R, Keitel C H 2008 Comput. Phys. Commun. 178 868
[10] Zhou Z Y, Zhao Z X, Yuan J M 2011 Phys. Scr. T144 014048
[11] Hu S X, Keitel C H 2001 Phys. Rev. A 63 053402
[12] Guo F M, Yang Y J, Jin M X, Ding D J, Zhu Q R 2009 Chin. Phys. Lett. 26 053201
[13] Chen J G, Yang Y J, Yu X P, He L J, Xu Y Y 2011 Acta Phys. Sin. 60 053206 (in Chinese) [陈基根, 杨玉军, 俞旭萍, 何龙君, 徐圆圆 2011 物理学报 60 053206]
[14] Chen J G, Yang Y J, Chen Y 2011 Acta Phys. Sin. 60 033202 (in Chinese) [陈基根, 杨玉军, 陈漾 2011 物理学报 60 033202]
[15] Zeng S L, Zou S Y, Yan J 2009 Chin. Phys. Lett. 26 053202
[16] Chen J G, Zeng S L, Yang Y J 2010 Phys. Rev. A 82 043401
[17] Chen J G, Yang Y J, Zeng S L, Liang H Q 2011 Phys. Rev. A 83 023401
[18] Kylstra N J, Ermolaev A M, Joachain C J 1997 J. Phys. B 30 L449
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[1] Ferray M, L'Huillier A, Li X F, Lompre L A, Mainfray G, Manus C 1988 J. Phys. B 21 L31
[2] Itatani J, Levesqure J, Zeidler D, Niikura H, Pepin H, Kieffer J C, Corkum P B, Villeneuve D M 2004 Nature 432 867
[3] Agostini P, DiMauro L F 2004 Rep. Prog. Phys. 67 813
[4] Krausz F, Ivanov M 2009 Rev. Mod. Phys. 81 163
[5] Corkum P B 1993 Phys. Rev. Lett. 71 1994
[6] Milosevic N, Krainov V P, Brabec T 2002 Phys. Rev. Lett. 89 193001
[7] Avetissian H K, Markossian A G, Mkrtchian G F 2011 Phys. Rev. A 8 013418
[8] Ye D F, Xin G G, Liu J, He X T 2010 J. Phys. B 43 235601
[9] Mocken G R, Keitel C H 2008 Comput. Phys. Commun. 178 868
[10] Zhou Z Y, Zhao Z X, Yuan J M 2011 Phys. Scr. T144 014048
[11] Hu S X, Keitel C H 2001 Phys. Rev. A 63 053402
[12] Guo F M, Yang Y J, Jin M X, Ding D J, Zhu Q R 2009 Chin. Phys. Lett. 26 053201
[13] Chen J G, Yang Y J, Yu X P, He L J, Xu Y Y 2011 Acta Phys. Sin. 60 053206 (in Chinese) [陈基根, 杨玉军, 俞旭萍, 何龙君, 徐圆圆 2011 物理学报 60 053206]
[14] Chen J G, Yang Y J, Chen Y 2011 Acta Phys. Sin. 60 033202 (in Chinese) [陈基根, 杨玉军, 陈漾 2011 物理学报 60 033202]
[15] Zeng S L, Zou S Y, Yan J 2009 Chin. Phys. Lett. 26 053202
[16] Chen J G, Zeng S L, Yang Y J 2010 Phys. Rev. A 82 043401
[17] Chen J G, Yang Y J, Zeng S L, Liang H Q 2011 Phys. Rev. A 83 023401
[18] Kylstra N J, Ermolaev A M, Joachain C J 1997 J. Phys. B 30 L449
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