Search

Article

x

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Semiclassical methods for strong field ionization of atoms

Xiao Xiang-Ru Wang Mu-Xue Li Min Geng Ji-Wei Liu Yun-Quan Peng Liang-You

Citation:

Semiclassical methods for strong field ionization of atoms

Xiao Xiang-Ru, Wang Mu-Xue, Li Min, Geng Ji-Wei, Liu Yun-Quan, Peng Liang-You
PDF
Get Citation

(PLEASE TRANSLATE TO ENGLISH

BY GOOGLE TRANSLATE IF NEEDED.)

  • As the advances of laser technology, more and more nonlinear phenomena are observed in the atoms and molecules driven by strong laser pulses. Systematic investigations on these findings, such as above threshold ionization and high-order harmonic generation, will lead us to understanding the mechanisms in the microscopic world. The most exact way to simulate the experimental measurements is to solve the time-dependent Schrdinger equation (TDSE) numerically, in which the system is described by the wave function and thus one cannot have an intuitive insight into the underling process. Therefore, several semiclassical methods have been developed to understand the strong field ionization. In the classical point of view, the electrons tunnel out when the strong laser field suppresses the Coulomb potential. Then the electrons are driven by the laser electric field according to the Newtonian equations. Semiclassical methods take into account the tunnelling of the electron, the classical orbit of the electron, and the action as the phase of trajectory, which have successfully explained main structures in the ionization spectrum. Two of the most popular semiclassical methods are the quantum trajectory Monte Carlo method and the Coulomb-corrected strong field approximation method. In the present review, we will introduce these basic methods and show how they have been developed step by step, covering the most relevant and important works in the strong field physics. Finally we give two example of applications to show how these methods work. With the advantage of the classical picture, we can identify different kind of structures in the 2D photoelectron momentum distributions and tell how the structures are formed. Nonadiabatic effects can be studied by comparing the results of the two methods, together with accurate simulation from the numerical solution of TDSE. The current semiclassical methods can be further developed into advanced ones, which can be used in more complex molecular systems or multi-electron systems, and be widely used in the study of dynamics of molecule and atoms in strong laser fields.
      Corresponding author: Peng Liang-You, liangyou.peng@pku.edu.cn
    • Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11574010, 11322437) and the National Basic Research Program of China (Grant Nos. 2013CB922402, 2013CB922403).
    [1]

    Göppert-Mayer M 1931Ann. Phys. 9 273

    [2]

    Breit G, Wheeler J A 1934Phys. Rev. 46 1087

    [3]

    Maiman T H 1960Nature 187 493

    [4]

    Brabec T, Krausz F 2000Rev. Mod. Phys. 72 545

    [5]

    Voronov G S, Delone N B 1965JETP Lett. 1 66

    [6]

    Voronov G S, Delone G A, Delone N B, Kudrevatova O V 1965JETP Lett. 2 377

    [7]

    Agostini P, Barjot G, Bonnal J, Mainfray G, Manus C, Morellec J 1968IEEE J. Quantum Electron. 4 667

    [8]

    Agostini P, Fabre F, Mainfray G, Petite G, Rahman N K 1979Phys. Rev. Lett. 42 1127

    [9]

    Keldysh L V 1964Zh. Eksp. Teor. Fiz. 47 1945[Keldysh L V 1965Sov. Phys.-JETP 20 1307(Engl. transl.)]

    [10]

    Faisal F H M 1973J. Phys. B:At. Mol. Opt. Phys. 6 L89

    [11]

    Reiss H R 1980Phys. Rev. A 22 1786

    [12]

    Perelomov A M, Popov V S, Terent'ev M V 1966Zh. Eksp. Teor. Fiz. 50 1393[Perelomov A M, Popov V S, Terent'ev M V 1966Sov. Phys. -JETP 23 924(Engl. transl.)]

    [13]

    Ammosov M V, Delone N B, Krainov V P 1986Zh. Eksp. Teor. Fiz. 91 2008[Ammosov M V, Delone N B, Krainov V P 1986Sov. Phys. -JETP 64 1191(Engl. transl.)]

    [14]

    Corkum P B, Burnett N H, Brunel F 1989Phys. Rev. Lett. 62 1259

    [15]

    Corkum P B 1993Phys. Rev. Lett. 71 1994

    [16]

    Li M, Geng J W, Liu H, Deng Y, Wu C, Peng L Y, Gong Q, Liu Y 2014Phys. Rev. Lett. 112 113002

    [17]

    Yan T M, Popruzhenko S V, Vrakking M J J, Bauer D 2010Phys. Rev. Lett. 105 253002

    [18]

    Hu B, Liu J, Chen S 1997Phys. Lett. A 236 533

    [19]

    Geng J W, Qin L, Li M, Xiong W H, Liu Y, Gong Q, Peng L Y 2014J. Phys. B:At. Mol. Opt. Phys. 47 204027

    [20]

    Mohideen U, Sher M H, Tom H W K, Aumiller G D, Wood O R, Freeman R R, Boker J, Bucksbaum P H 1993Phys. Rev. Lett. 71 509

    [21]

    Arissian L, Smeenk C, Turner F, Trallero C, Sokolov A V, Villeneuve D M, Staudte A, Corkum P B 2010Phys. Rev. Lett. 105 133002

    [22]

    Landau L D, Lifshits E M 1963Quantum Mechanics (2nd Ed.) (Moscow:Fizmatlit)

    [23]

    Smirnov B M, Chibisov M I 1966Sov. Phys. JETP 22 585

    [24]

    Popov V S 2004Usp. Fiz. Nauk 174 921

    [25]

    Popov V S 2004Phys. Usp. 47 855

    [26]

    Hartree D R 1927Proc. Camb. Phil. Soc. 24 89

    [27]

    Delone N B, Krainov V P 1991J. Opt. Soc. Am. B 8 1207

    [28]

    Delone N B, Krainov V P 1985 Atoms in Strong Light Fields (Berlin, New York:Springer-Verlag)

    [29]

    Krainov V P 1997J. Opt. Soc. Am. B 14 425

    [30]

    Chen J, Liu J, Chen S G 2000Phys. Rev. A 61 033402

    [31]

    Nubbemeyer T, Gorling K, Saenz A, Eichmann U, Sandner W 2008Phys. Rev. Lett. 101 233001

    [32]

    Shvetsov-Shilovski N I, Goreslavski S P, Popruzhenko S V, Becker W 2009Laser Phys. 19 1550

    [33]

    Shvetsov-Shilovski N I, Dimitrovski D, Madsen L B 2012Phys. Rev. A 85 023428

    [34]

    Feynman R P 1948Rev. Mod. Phys. 20 367

    [35]

    Milǒsević D B 2013J. Math. Phys. 54 042101

    [36]

    Salieres P, Carré B, Le Déroff L, Grasbon F, Paulus G G, Walther H, Kopold R, Becker W, Milǒsević D B, Sanpera A, Lewenstein M 2001Science 292 902

    [37]

    Shvetsov-Shilovski N I, Lein M, Madsen L B, Räsänen E, Lemell C, Burgdärfer J, Arbó D G, Tökési K 2016Phys. Rev. A 94 013415

    [38]

    Popruzhenko S V 2014J. Phys. B:At. Mol. Opt. Phys. 47 204001

    [39]

    Frolov M V, Manakov N L, Silaev A A, Vvedenskii N V 2010Phys. Rev. A 81 063407

    [40]

    Frolov M V, Manakov N L, Sarantseva T S 2011Phys. Rev. A 83 043416

    [41]

    Frolov M V, Manakov N L, Silaev A A, Vvedenskii N V, Starace A F 2011Phys. Rev. A 83 021405

    [42]

    Frolov M V, Knyazeva D V, Manakov N L, Popov A M, Tikhonova O V, Volkova E A, Xu M H, Peng L Y, Pi L W, Starace A F 2012Phys. Rev. Lett. 108 213002

    [43]

    Frolov M V, Manakov N L, Sarantseva T S, Starace A F 2012Phys. Rev. A 86 063406

    [44]

    Frolov M V, Manakov N L, Popov A M, Tikhonova O V, Volkova E A, Silaev A A, Vvedenskii N V, Starace A F 2012Phys. Rev. A 85 033416

    [45]

    Frolov M V, Knyazeva D V, Manakov N L, Geng J W, Peng L Y, Starace A F 2014Phys. Rev. A 89 063419

    [46]

    Shivaram N, Timmers H, Tong X M, Sandhu A 2011Phys. Rev. Lett. 108 193002

    [47]

    Chu S I, Telnov D A 2004Phys. Rep. 390 1

    [48]

    Kaushal J, Smirnova O 2013Phys. Rev. A 88 013412

    [49]

    Torlina L, Smirnova O 2012Phys. Rev. A 86 043408

    [50]

    Barth I, Friedland L, Gat O, Shagalov A G 2011Phys. Rev. A 84 013837

    [51]

    Gordon W 1926Z. Phys. 40 117

    [52]

    Wolkow D M 1935Z. Phys. 94 250

    [53]

    Volkov D M 1937Zh. Eksp. Teor. Fiz. 7 1286

    [54]

    Berestetskii V B, Lifshitz E M, Pitaevskii L P 1982Quantum Electrodynamics (2nd Ed.) (Oxford:Pergamon)

    [55]

    Becker W, Grasbon F, Kopold R, Milošević D B, Paulus G G, Walther H 2002Adv. At. Mol. Opt. Phys. 48 35

    [56]

    Bleistein N, Handelsman R A 1986Asymptotic Expansions of Integrals (New York:Dover Publications, Inc.)

    [57]

    Gribakin G F, Kuchiev M Y 1997Phys. Rev. A 55 3760

    [58]

    Lewenstein M, Balcou P, Ivanov M Y, L'Huillier A, Corkum P B 1994Phys. Rev. A 49 2117

    [59]

    Figueira De Morrison Faria C, Schomerus H, Becker W 2002Phys. Rev. A 66 043413

    [60]

    Milošević D B, Paulus G G, Bauer D, Becker W 2006J. Phys. B:At. Mol. Opt. Phys. 39 R203

    [61]

    Kitzler M, Miloševic N, Scrinzi A, Krausz F, Brabec T 2002Phys. Rev. Lett. 88 173904

    [62]

    Geng J W, Peng L Y, Song S N, Gong Q 2013Phys. Rev. A 88 053418

    [63]

    Popruzhenko S V, Mur V D, Popov V S, Bauer D 2008Phys. Rev. Lett. 101 193003

    [64]

    Popov V S 2005Phys. At. Nucl. 68 686

    [65]

    Suárez N, Chacón A, Ciappina M F, Biegert J, Lewenstein M 2015Phys. Rev. A 92 063421

    [66]

    Guo L, Han S S, Liu X, Cheng Y, Xu Z Z, Fan J, Chen J, Chen S G, Becker W, Blaga C I, DiChiara A D, Sistrunk E, Agostini P, DiMauro L F 2013Phys. Rev. Lett. 110 013001

    [67]

    Jain M, Tzoar N 1978Phys. Rev. A 18 538

    [68]

    Cavalieri P, Ferrante G, Leone C 1980J. Phys. B:At. Mol. Opt. Phys. 13 4495

    [69]

    Dorr M, Shakeshaft R 1987Phys. Rev. A 36 421

    [70]

    Shakeshaft R, Potvliege 1987Phys. Rev. A 36 5478

    [71]

    Basile S, Trombetta F, Ferrante G 1988Phys. Rev. Lett. 61 2435

    [72]

    Jaron A, Kaminski J Z, Ehlotzky F 1999Opt. Commun. 163 115

    [73]

    Paulus G G, Grasbon F, Dreischuh A, Walther H, Kopold R, Becker W 2000Phys. Rev. Lett. 84 3791

    [74]

    Arbó D G, Miraglia J E, Gravielle M S, Schiessl K, Persson E, Burgdörfer J 2008Phys. Rev. A 77 013401

    [75]

    Kornev A S, Zon B A 2002Laser Phys. 12 795

    [76]

    Kornev A S, Zon B A 2002J. Phys. B:At. Mol. Opt. Phys. 35 2451

    [77]

    Popruzhenko S V, Paulus G G, Bauer D 2008Phys. Rev. A 77 053409

    [78]

    Popruzhenko S V, Bauer D 2008J. Mod. Opt. 55 2573

    [79]

    Yan T M, Bauer D 2012Phys. Rev. A 86 053403

    [80]

    Xiao X R, Wang M X, Xiong W H, Peng L Y 2016Phys. Rev. E (in press)

    [81]

    Hentschel M, Kienberger R, Spielmann C, Reider G A, Miloševic N, Brabec T, Corkum P, Heinzmann U, Drescher M, Krausz F 2001Nature 414 509

    [82]

    Paul P M, Toma E S, Breger P, Mullot G, Auge F, Balcou P, Muller H G, Agostini P 2001Science 292 1689

    [83]

    Peng L Y, Jiang W C, Geng J W, Xiong W H, Gong Q 2015Phys. Rep. 575 1

    [84]

    Krausz F, Ivanov M 2009Rev. Mod. Phys. 81 163

    [85]

    Gazibegović-Busuladžić A, Milošević D B, Becker W 2007Opt. Commun. 275 116

    [86]

    Korneev P A, Popruzhenko S V, Goreslavski S P, Becker W, Paulus G G, Fetić B, Milošević D B 2012New J. Phys. 14 055019

    [87]

    Lohr A, Kleber M, Kopold R, Becker W 1997Phys. Rev. A 55 R4003

    [88]

    Goreslavski S P, Paulus G G, Popruzhenko S V, Shvetsov-Shilovski N I 2004Phys. Rev. Lett. 93 233002

    [89]

    Chelkowski S, Bandrauk A D 2005Phys. Rev. A 71 053815

    [90]

    Li M, Liu Y, Liu H, Ning Q, Fu L, Liu J, Deng Y, Wu C, Peng L, Gong Q 2013Phys. Rev. Lett. 111 023006

    [91]

    Liu H, Liu Y, Fu L, Xin G, Ye D, Liu J, He X T, Yang Y, Liu X, Deng Y, Wu C, Gong Q 2012Phys. Rev. Lett. 109 093001

    [92]

    Li M, Qin L, Wu C, Peng L, Gong Q, Liu Y 2014Phys. Rev. A 89 013422

    [93]

    Huismans Y, Rouzee A, Gijsbertsen A, Jungmann J H, Smolkowska A S, Logman P S W M, Lepine F, Cauchy C, Zamith S, Marchenko T, Bakker J M, Berden G, Redlich B, van der Meer A F G, Muller H G, Vermin W, Schafer K J, Spanner M, Ivanov M Y, Smirnova O, Bauer D, Popruzhenko S V, Vrakking M J J 2011Science 331 61

    [94]

    Huismans Y, Gijsbertsen A, Smolkowska A S, Jungmann J H, Rouzée A, Logman P S W M, Lépine F, Cauchy C, Zamith S, Marchenko T, Bakker J M, Berden G, Redlich B, van der Meer A F G, Ivanov M Y, Yan T M, Bauer D, Smirnova O, Vrakking M J J 2012Phys. Rev. Lett. 109 013002

    [95]

    Bian X B, Huismans Y, Smirnova O, Yuan K J, Vrakking M J J, Bandrauk A D 2011Phys. Rev. A 84 043420

    [96]

    Bian X B, Bandrauk A D 2012Phys. Rev. Lett. 108 263003

    [97]

    Bian X B, Bandrauk A D 2014Phys. Rev. A 89 033423

    [98]

    Li M, Sun X, Xie X, Shao Y, Deng Y, Wu C, Gong Q, Liu Y 2015Sci. Rep. 5 8519

    [99]

    Chen Z, Morishita T, Le A T, Wickenhauser M, Tong X M, Lin C D 2006Phys. Rev. A 74 053405

    [100]

    Arbó D G, Yoshida S, Persson E, Dimitriou K I, Burgdörfer J 2006Phys. Rev. Lett. 96 143003

    [101]

    Arbó D G, Dimitriou K I, Persson E, Burgdörfer J 2008Phys. Rev. A 78 013406

    [102]

    Arbó D G, Ishikawa K L, Schiessl K, Persson E, Burgdörfer J 2010Phys. Rev. A 81 021403

    [103]

    Blaga C I, Catoire F, Colosimo P, Paulus G G, Muller H G, Agostini P, DiMauro L F 2009Nat. Phys. 5 335

    [104]

    Faisal F H M 2009Nat. Phys. 5 319

    [105]

    Quan W, Lin Z, Wu M, Kang H, Liu H, Liu X, Chen J, Liu J, He X T, Chen S G, Xiong H, Guo L, Xu H, Fu Y, Cheng Y, Xu Z Z 2009Phys. Rev. Lett. 103 093001

    [106]

    Liu C, Hatsagortsyan K Z 2010Phys. Rev. Lett. 105 113003

    [107]

    Wu C Y, Yang Y D, Liu Y Q, Gong Q H, Wu M, Liu X, Hao X L, Li W D, He X T, Chen J 2012Phys. Rev. Lett. 109 043001

    [108]

    X, Liu P, Lin C, Sheng Z, Yu X, Yang W, Hu S, Chen J, Xu S, Chen Y, Quan W, Liu X 2016arxiv 1602.05668v1

    [109]

    Möller M, Meyer F, Sayler A M, Paulus G G, Kling M F, Schmidt B E, Becker W, Milošević D B 2014Phys. Rev. A 90 023412

    [110]

    Li M, Geng J W, Liu M M, Zheng X, Peng L Y, Gong Q, Liu Y 2015Phys. Rev. A 92 013416

    [111]

    Mancuso C A, Hickstein D D, Grychtol P, Knut R, Kfir O, Tong X M, Dollar F, Zusin D, Gopalakrishnan M, Gentry C, Turgut E, Ellis J L, Chen M, Fleischer A, Cohen O, Kapteyn H C, Murnane M M 2015Phys. Rev. A 91 031402

    [112]

    Mancuso C A, Hickstein D D, Dorney K M, Ellis J L, Hasović E, Knut R, Grychtol P, Gentry C, Gopalakrishnan M, Zusin D, Dollar F J, Tong X M, Milošević D B, Becker W, Kapteyn H C, Murnane M M 2016Phys. Rev. A 93 053406

    [113]

    Song X, Lin C, Sheng Z, Liu P, Chen Z, Yang W, Hu S, Lin C D, Chen J 2016Sci. Rep. 6 28392

    [114]

    Yudin G L, Ivanov M Y 2001Phys. Rev. A 64 013409

    [115]

    Bondar D I 2008Phys. Rev. A 78 015405

    [116]

    Li M, Geng J W, Han M, Liu M M, Peng L Y, Gong Q, Liu Y 2016Phys. Rev. A 93 013402

    [117]

    Geng J W, Xiong W H, Xiao X R, Peng L Y, Gong Q 2015Phys. Rev. Lett. 115 193001

    [118]

    Eckle P, Smolarski M, Schlup P, Biegert J, Staudte A, Schöffler M, Muller H G, Dörner R, Keller U 2008Nat. Phys. 4 565

    [119]

    Eckle P, Pfeiffer A N, Cirelli C, Staudte A, Dorner R, Muller H G, Buttiker M, Keller U 2008Science 322 1525

    [120]

    Pfeiffer A N, Cirelli C, Smolarski M, Dimitrovski D, Abu-samha M, Madsen L B, Keller U 2011Nat. Phys. 8 76

    [121]

    Pfeiffer A N, Cirelli C, Landsman A S, Smolarski M, Dimitrovski D, Madsen L B, Keller U 2012Phys. Rev. Lett. 109 083002

    [122]

    Boge R, Cirelli C, Landsman A S, Heuser S, Ludwig A, Maurer J, Weger M, Gallmann L, Keller U 2013Phys. Rev. Lett. 111 103003

    [123]

    Hofmann C, Landsman A S, Zielinski A, Cirelli C, Zimmermann T, Scrinzi A, Keller U 2014Phys. Rev. A 90 043406

    [124]

    Sun X, Li M, Yu J, Deng Y, Gong Q, Liu Y 2014Phys. Rev. A 89 045402

    [125]

    Mur V D, Popruzhenko S V, Popov V S 2001J. Exp. Theor. Phys. 92 777

  • [1]

    Göppert-Mayer M 1931Ann. Phys. 9 273

    [2]

    Breit G, Wheeler J A 1934Phys. Rev. 46 1087

    [3]

    Maiman T H 1960Nature 187 493

    [4]

    Brabec T, Krausz F 2000Rev. Mod. Phys. 72 545

    [5]

    Voronov G S, Delone N B 1965JETP Lett. 1 66

    [6]

    Voronov G S, Delone G A, Delone N B, Kudrevatova O V 1965JETP Lett. 2 377

    [7]

    Agostini P, Barjot G, Bonnal J, Mainfray G, Manus C, Morellec J 1968IEEE J. Quantum Electron. 4 667

    [8]

    Agostini P, Fabre F, Mainfray G, Petite G, Rahman N K 1979Phys. Rev. Lett. 42 1127

    [9]

    Keldysh L V 1964Zh. Eksp. Teor. Fiz. 47 1945[Keldysh L V 1965Sov. Phys.-JETP 20 1307(Engl. transl.)]

    [10]

    Faisal F H M 1973J. Phys. B:At. Mol. Opt. Phys. 6 L89

    [11]

    Reiss H R 1980Phys. Rev. A 22 1786

    [12]

    Perelomov A M, Popov V S, Terent'ev M V 1966Zh. Eksp. Teor. Fiz. 50 1393[Perelomov A M, Popov V S, Terent'ev M V 1966Sov. Phys. -JETP 23 924(Engl. transl.)]

    [13]

    Ammosov M V, Delone N B, Krainov V P 1986Zh. Eksp. Teor. Fiz. 91 2008[Ammosov M V, Delone N B, Krainov V P 1986Sov. Phys. -JETP 64 1191(Engl. transl.)]

    [14]

    Corkum P B, Burnett N H, Brunel F 1989Phys. Rev. Lett. 62 1259

    [15]

    Corkum P B 1993Phys. Rev. Lett. 71 1994

    [16]

    Li M, Geng J W, Liu H, Deng Y, Wu C, Peng L Y, Gong Q, Liu Y 2014Phys. Rev. Lett. 112 113002

    [17]

    Yan T M, Popruzhenko S V, Vrakking M J J, Bauer D 2010Phys. Rev. Lett. 105 253002

    [18]

    Hu B, Liu J, Chen S 1997Phys. Lett. A 236 533

    [19]

    Geng J W, Qin L, Li M, Xiong W H, Liu Y, Gong Q, Peng L Y 2014J. Phys. B:At. Mol. Opt. Phys. 47 204027

    [20]

    Mohideen U, Sher M H, Tom H W K, Aumiller G D, Wood O R, Freeman R R, Boker J, Bucksbaum P H 1993Phys. Rev. Lett. 71 509

    [21]

    Arissian L, Smeenk C, Turner F, Trallero C, Sokolov A V, Villeneuve D M, Staudte A, Corkum P B 2010Phys. Rev. Lett. 105 133002

    [22]

    Landau L D, Lifshits E M 1963Quantum Mechanics (2nd Ed.) (Moscow:Fizmatlit)

    [23]

    Smirnov B M, Chibisov M I 1966Sov. Phys. JETP 22 585

    [24]

    Popov V S 2004Usp. Fiz. Nauk 174 921

    [25]

    Popov V S 2004Phys. Usp. 47 855

    [26]

    Hartree D R 1927Proc. Camb. Phil. Soc. 24 89

    [27]

    Delone N B, Krainov V P 1991J. Opt. Soc. Am. B 8 1207

    [28]

    Delone N B, Krainov V P 1985 Atoms in Strong Light Fields (Berlin, New York:Springer-Verlag)

    [29]

    Krainov V P 1997J. Opt. Soc. Am. B 14 425

    [30]

    Chen J, Liu J, Chen S G 2000Phys. Rev. A 61 033402

    [31]

    Nubbemeyer T, Gorling K, Saenz A, Eichmann U, Sandner W 2008Phys. Rev. Lett. 101 233001

    [32]

    Shvetsov-Shilovski N I, Goreslavski S P, Popruzhenko S V, Becker W 2009Laser Phys. 19 1550

    [33]

    Shvetsov-Shilovski N I, Dimitrovski D, Madsen L B 2012Phys. Rev. A 85 023428

    [34]

    Feynman R P 1948Rev. Mod. Phys. 20 367

    [35]

    Milǒsević D B 2013J. Math. Phys. 54 042101

    [36]

    Salieres P, Carré B, Le Déroff L, Grasbon F, Paulus G G, Walther H, Kopold R, Becker W, Milǒsević D B, Sanpera A, Lewenstein M 2001Science 292 902

    [37]

    Shvetsov-Shilovski N I, Lein M, Madsen L B, Räsänen E, Lemell C, Burgdärfer J, Arbó D G, Tökési K 2016Phys. Rev. A 94 013415

    [38]

    Popruzhenko S V 2014J. Phys. B:At. Mol. Opt. Phys. 47 204001

    [39]

    Frolov M V, Manakov N L, Silaev A A, Vvedenskii N V 2010Phys. Rev. A 81 063407

    [40]

    Frolov M V, Manakov N L, Sarantseva T S 2011Phys. Rev. A 83 043416

    [41]

    Frolov M V, Manakov N L, Silaev A A, Vvedenskii N V, Starace A F 2011Phys. Rev. A 83 021405

    [42]

    Frolov M V, Knyazeva D V, Manakov N L, Popov A M, Tikhonova O V, Volkova E A, Xu M H, Peng L Y, Pi L W, Starace A F 2012Phys. Rev. Lett. 108 213002

    [43]

    Frolov M V, Manakov N L, Sarantseva T S, Starace A F 2012Phys. Rev. A 86 063406

    [44]

    Frolov M V, Manakov N L, Popov A M, Tikhonova O V, Volkova E A, Silaev A A, Vvedenskii N V, Starace A F 2012Phys. Rev. A 85 033416

    [45]

    Frolov M V, Knyazeva D V, Manakov N L, Geng J W, Peng L Y, Starace A F 2014Phys. Rev. A 89 063419

    [46]

    Shivaram N, Timmers H, Tong X M, Sandhu A 2011Phys. Rev. Lett. 108 193002

    [47]

    Chu S I, Telnov D A 2004Phys. Rep. 390 1

    [48]

    Kaushal J, Smirnova O 2013Phys. Rev. A 88 013412

    [49]

    Torlina L, Smirnova O 2012Phys. Rev. A 86 043408

    [50]

    Barth I, Friedland L, Gat O, Shagalov A G 2011Phys. Rev. A 84 013837

    [51]

    Gordon W 1926Z. Phys. 40 117

    [52]

    Wolkow D M 1935Z. Phys. 94 250

    [53]

    Volkov D M 1937Zh. Eksp. Teor. Fiz. 7 1286

    [54]

    Berestetskii V B, Lifshitz E M, Pitaevskii L P 1982Quantum Electrodynamics (2nd Ed.) (Oxford:Pergamon)

    [55]

    Becker W, Grasbon F, Kopold R, Milošević D B, Paulus G G, Walther H 2002Adv. At. Mol. Opt. Phys. 48 35

    [56]

    Bleistein N, Handelsman R A 1986Asymptotic Expansions of Integrals (New York:Dover Publications, Inc.)

    [57]

    Gribakin G F, Kuchiev M Y 1997Phys. Rev. A 55 3760

    [58]

    Lewenstein M, Balcou P, Ivanov M Y, L'Huillier A, Corkum P B 1994Phys. Rev. A 49 2117

    [59]

    Figueira De Morrison Faria C, Schomerus H, Becker W 2002Phys. Rev. A 66 043413

    [60]

    Milošević D B, Paulus G G, Bauer D, Becker W 2006J. Phys. B:At. Mol. Opt. Phys. 39 R203

    [61]

    Kitzler M, Miloševic N, Scrinzi A, Krausz F, Brabec T 2002Phys. Rev. Lett. 88 173904

    [62]

    Geng J W, Peng L Y, Song S N, Gong Q 2013Phys. Rev. A 88 053418

    [63]

    Popruzhenko S V, Mur V D, Popov V S, Bauer D 2008Phys. Rev. Lett. 101 193003

    [64]

    Popov V S 2005Phys. At. Nucl. 68 686

    [65]

    Suárez N, Chacón A, Ciappina M F, Biegert J, Lewenstein M 2015Phys. Rev. A 92 063421

    [66]

    Guo L, Han S S, Liu X, Cheng Y, Xu Z Z, Fan J, Chen J, Chen S G, Becker W, Blaga C I, DiChiara A D, Sistrunk E, Agostini P, DiMauro L F 2013Phys. Rev. Lett. 110 013001

    [67]

    Jain M, Tzoar N 1978Phys. Rev. A 18 538

    [68]

    Cavalieri P, Ferrante G, Leone C 1980J. Phys. B:At. Mol. Opt. Phys. 13 4495

    [69]

    Dorr M, Shakeshaft R 1987Phys. Rev. A 36 421

    [70]

    Shakeshaft R, Potvliege 1987Phys. Rev. A 36 5478

    [71]

    Basile S, Trombetta F, Ferrante G 1988Phys. Rev. Lett. 61 2435

    [72]

    Jaron A, Kaminski J Z, Ehlotzky F 1999Opt. Commun. 163 115

    [73]

    Paulus G G, Grasbon F, Dreischuh A, Walther H, Kopold R, Becker W 2000Phys. Rev. Lett. 84 3791

    [74]

    Arbó D G, Miraglia J E, Gravielle M S, Schiessl K, Persson E, Burgdörfer J 2008Phys. Rev. A 77 013401

    [75]

    Kornev A S, Zon B A 2002Laser Phys. 12 795

    [76]

    Kornev A S, Zon B A 2002J. Phys. B:At. Mol. Opt. Phys. 35 2451

    [77]

    Popruzhenko S V, Paulus G G, Bauer D 2008Phys. Rev. A 77 053409

    [78]

    Popruzhenko S V, Bauer D 2008J. Mod. Opt. 55 2573

    [79]

    Yan T M, Bauer D 2012Phys. Rev. A 86 053403

    [80]

    Xiao X R, Wang M X, Xiong W H, Peng L Y 2016Phys. Rev. E (in press)

    [81]

    Hentschel M, Kienberger R, Spielmann C, Reider G A, Miloševic N, Brabec T, Corkum P, Heinzmann U, Drescher M, Krausz F 2001Nature 414 509

    [82]

    Paul P M, Toma E S, Breger P, Mullot G, Auge F, Balcou P, Muller H G, Agostini P 2001Science 292 1689

    [83]

    Peng L Y, Jiang W C, Geng J W, Xiong W H, Gong Q 2015Phys. Rep. 575 1

    [84]

    Krausz F, Ivanov M 2009Rev. Mod. Phys. 81 163

    [85]

    Gazibegović-Busuladžić A, Milošević D B, Becker W 2007Opt. Commun. 275 116

    [86]

    Korneev P A, Popruzhenko S V, Goreslavski S P, Becker W, Paulus G G, Fetić B, Milošević D B 2012New J. Phys. 14 055019

    [87]

    Lohr A, Kleber M, Kopold R, Becker W 1997Phys. Rev. A 55 R4003

    [88]

    Goreslavski S P, Paulus G G, Popruzhenko S V, Shvetsov-Shilovski N I 2004Phys. Rev. Lett. 93 233002

    [89]

    Chelkowski S, Bandrauk A D 2005Phys. Rev. A 71 053815

    [90]

    Li M, Liu Y, Liu H, Ning Q, Fu L, Liu J, Deng Y, Wu C, Peng L, Gong Q 2013Phys. Rev. Lett. 111 023006

    [91]

    Liu H, Liu Y, Fu L, Xin G, Ye D, Liu J, He X T, Yang Y, Liu X, Deng Y, Wu C, Gong Q 2012Phys. Rev. Lett. 109 093001

    [92]

    Li M, Qin L, Wu C, Peng L, Gong Q, Liu Y 2014Phys. Rev. A 89 013422

    [93]

    Huismans Y, Rouzee A, Gijsbertsen A, Jungmann J H, Smolkowska A S, Logman P S W M, Lepine F, Cauchy C, Zamith S, Marchenko T, Bakker J M, Berden G, Redlich B, van der Meer A F G, Muller H G, Vermin W, Schafer K J, Spanner M, Ivanov M Y, Smirnova O, Bauer D, Popruzhenko S V, Vrakking M J J 2011Science 331 61

    [94]

    Huismans Y, Gijsbertsen A, Smolkowska A S, Jungmann J H, Rouzée A, Logman P S W M, Lépine F, Cauchy C, Zamith S, Marchenko T, Bakker J M, Berden G, Redlich B, van der Meer A F G, Ivanov M Y, Yan T M, Bauer D, Smirnova O, Vrakking M J J 2012Phys. Rev. Lett. 109 013002

    [95]

    Bian X B, Huismans Y, Smirnova O, Yuan K J, Vrakking M J J, Bandrauk A D 2011Phys. Rev. A 84 043420

    [96]

    Bian X B, Bandrauk A D 2012Phys. Rev. Lett. 108 263003

    [97]

    Bian X B, Bandrauk A D 2014Phys. Rev. A 89 033423

    [98]

    Li M, Sun X, Xie X, Shao Y, Deng Y, Wu C, Gong Q, Liu Y 2015Sci. Rep. 5 8519

    [99]

    Chen Z, Morishita T, Le A T, Wickenhauser M, Tong X M, Lin C D 2006Phys. Rev. A 74 053405

    [100]

    Arbó D G, Yoshida S, Persson E, Dimitriou K I, Burgdörfer J 2006Phys. Rev. Lett. 96 143003

    [101]

    Arbó D G, Dimitriou K I, Persson E, Burgdörfer J 2008Phys. Rev. A 78 013406

    [102]

    Arbó D G, Ishikawa K L, Schiessl K, Persson E, Burgdörfer J 2010Phys. Rev. A 81 021403

    [103]

    Blaga C I, Catoire F, Colosimo P, Paulus G G, Muller H G, Agostini P, DiMauro L F 2009Nat. Phys. 5 335

    [104]

    Faisal F H M 2009Nat. Phys. 5 319

    [105]

    Quan W, Lin Z, Wu M, Kang H, Liu H, Liu X, Chen J, Liu J, He X T, Chen S G, Xiong H, Guo L, Xu H, Fu Y, Cheng Y, Xu Z Z 2009Phys. Rev. Lett. 103 093001

    [106]

    Liu C, Hatsagortsyan K Z 2010Phys. Rev. Lett. 105 113003

    [107]

    Wu C Y, Yang Y D, Liu Y Q, Gong Q H, Wu M, Liu X, Hao X L, Li W D, He X T, Chen J 2012Phys. Rev. Lett. 109 043001

    [108]

    X, Liu P, Lin C, Sheng Z, Yu X, Yang W, Hu S, Chen J, Xu S, Chen Y, Quan W, Liu X 2016arxiv 1602.05668v1

    [109]

    Möller M, Meyer F, Sayler A M, Paulus G G, Kling M F, Schmidt B E, Becker W, Milošević D B 2014Phys. Rev. A 90 023412

    [110]

    Li M, Geng J W, Liu M M, Zheng X, Peng L Y, Gong Q, Liu Y 2015Phys. Rev. A 92 013416

    [111]

    Mancuso C A, Hickstein D D, Grychtol P, Knut R, Kfir O, Tong X M, Dollar F, Zusin D, Gopalakrishnan M, Gentry C, Turgut E, Ellis J L, Chen M, Fleischer A, Cohen O, Kapteyn H C, Murnane M M 2015Phys. Rev. A 91 031402

    [112]

    Mancuso C A, Hickstein D D, Dorney K M, Ellis J L, Hasović E, Knut R, Grychtol P, Gentry C, Gopalakrishnan M, Zusin D, Dollar F J, Tong X M, Milošević D B, Becker W, Kapteyn H C, Murnane M M 2016Phys. Rev. A 93 053406

    [113]

    Song X, Lin C, Sheng Z, Liu P, Chen Z, Yang W, Hu S, Lin C D, Chen J 2016Sci. Rep. 6 28392

    [114]

    Yudin G L, Ivanov M Y 2001Phys. Rev. A 64 013409

    [115]

    Bondar D I 2008Phys. Rev. A 78 015405

    [116]

    Li M, Geng J W, Han M, Liu M M, Peng L Y, Gong Q, Liu Y 2016Phys. Rev. A 93 013402

    [117]

    Geng J W, Xiong W H, Xiao X R, Peng L Y, Gong Q 2015Phys. Rev. Lett. 115 193001

    [118]

    Eckle P, Smolarski M, Schlup P, Biegert J, Staudte A, Schöffler M, Muller H G, Dörner R, Keller U 2008Nat. Phys. 4 565

    [119]

    Eckle P, Pfeiffer A N, Cirelli C, Staudte A, Dorner R, Muller H G, Buttiker M, Keller U 2008Science 322 1525

    [120]

    Pfeiffer A N, Cirelli C, Smolarski M, Dimitrovski D, Abu-samha M, Madsen L B, Keller U 2011Nat. Phys. 8 76

    [121]

    Pfeiffer A N, Cirelli C, Landsman A S, Smolarski M, Dimitrovski D, Madsen L B, Keller U 2012Phys. Rev. Lett. 109 083002

    [122]

    Boge R, Cirelli C, Landsman A S, Heuser S, Ludwig A, Maurer J, Weger M, Gallmann L, Keller U 2013Phys. Rev. Lett. 111 103003

    [123]

    Hofmann C, Landsman A S, Zielinski A, Cirelli C, Zimmermann T, Scrinzi A, Keller U 2014Phys. Rev. A 90 043406

    [124]

    Sun X, Li M, Yu J, Deng Y, Gong Q, Liu Y 2014Phys. Rev. A 89 045402

    [125]

    Mur V D, Popruzhenko S V, Popov V S 2001J. Exp. Theor. Phys. 92 777

  • [1] Tao Jian-Fei, Xia Qin-Zhi, Liao Lin-Gu, Liu Jie, Liu Xiao-Jing. Theory and application of photoelectron trajectory interference holography for atomic ionization in intense laser field. Acta Physica Sinica, 2022, 71(23): 233206. doi: 10.7498/aps.71.20221296
    [2] Han Lin, Miao Shu-Li, Li Peng-Cheng. Theoretical study of high-order harmonics and single ultrashort attosecond pulse generated by optimized combination of laser field. Acta Physica Sinica, 2022, 71(23): 233204. doi: 10.7498/aps.71.20221298
    [3] Jiang Miao, Zheng Xiao-Ran, Lin Nan-Sheng, Li Ying-Jun. Multi-photon transition effects under different external field widths in electron-positron-pair creation process. Acta Physica Sinica, 2021, 70(23): 231202. doi: 10.7498/aps.70.20202101
    [4] Guo Chun-Xiang, Jiao Zhi-Hong, Zhou Xiao-Xin, Li Peng-Cheng. Mechanism of laser intensity-dependent below-threshold harmonic generation. Acta Physica Sinica, 2020, 69(7): 074203. doi: 10.7498/aps.69.20191883
    [5] Huang Cheng, Zhong Ming-Min, Wu Zheng-Mao. Intensity-dependent recollision dynamics in strong-field nonsequential double ionization. Acta Physica Sinica, 2019, 68(3): 033201. doi: 10.7498/aps.68.20181811
    [6] Huang Wen-Xiao, Zhang Yi-Zhu, Yan Tian-Min, Jiang Yu-Hai. Progress in study of low-energy photoelectron in ultra-fast strong fields-analytical R-matrix theory based semiclassical trajectory method. Acta Physica Sinica, 2016, 65(22): 223204. doi: 10.7498/aps.65.223204
    [7] Bai Chun-Jiang, Cui Wan-Zhao, Yu Jin-Qing. Ionization state of ultra-thin carbon film irradiated by ultra-short intense laser pulse. Acta Physica Sinica, 2016, 65(11): 113201. doi: 10.7498/aps.65.113201
    [8] Jin Fa-Cheng, Wang Bing-Bing. Frequency-domain view of nonsequential double ionization in intense laser fields. Acta Physica Sinica, 2016, 65(22): 224205. doi: 10.7498/aps.65.224205
    [9] Zhao Lei, Zhang Qi, Dong Jing-Wei, Lü Hang, Xu Hai-Feng. Rydberg state excitations and double ionizations of different atoms in strong femtosecond laser field. Acta Physica Sinica, 2016, 65(22): 223201. doi: 10.7498/aps.65.223201
    [10] Wang Pin-Yi, Jia Xin-Yan, Fan Dai-He, Chen Jing. Resonance-like enhancement in high-order above-threshold ionzation of argon at different wavelengths. Acta Physica Sinica, 2015, 64(14): 143201. doi: 10.7498/aps.64.143201
    [11] Li Wen-Liang, Zhang Ji, Yao Hong-Bin. Multi-configuration time dependent Hartree Fock method in three different representations. Acta Physica Sinica, 2013, 62(12): 123202. doi: 10.7498/aps.62.123202
    [12] Ma Ning, Wang Mei-Shan, Yang Chuan-Lu, Xiong De-Lin, Li Xiao-Hu, Ma Xiao-Guang. Theoretical study of the influence of laser intensity on the population of the NO molecule electronic states. Acta Physica Sinica, 2010, 59(1): 215-221. doi: 10.7498/aps.59.215
    [13] Ye Xiao-Liang, Zhou Xiao-Xin, Zhao Song-Feng, Li Peng-Cheng. The single attosecond pulse generated by atom exposed to two-color combined laser field. Acta Physica Sinica, 2009, 58(3): 1579-1585. doi: 10.7498/aps.58.1579
    [14] Li Hui-Shan, Li Peng-Cheng, Zhou Xiao-Xin. Role of potential function in high order harmonic generation of model hydrogen atoms in intense laser field. Acta Physica Sinica, 2009, 58(11): 7633-7639. doi: 10.7498/aps.58.7633
    [15] Guo Zhong-Hua, Zhou Xiao-Xin. The influence of molecular ground state wave function on high-order harmonic generation from N2 molecules in intense laser fields. Acta Physica Sinica, 2008, 57(3): 1616-1621. doi: 10.7498/aps.57.1616
    [16] Zhao Song-Feng, Zhou Xiao-Xin, Jin Cheng. Investigation of high order harmonic generation and ionization of model hydrogen atoms and real hydrogen atom in intense laser field. Acta Physica Sinica, 2006, 55(8): 4078-4085. doi: 10.7498/aps.55.4078
    [17] Li Peng-Cheng, Zhou Xiao-Xin, Dong Chen-Zhong, Zhao Song-Feng. Investigation of the high harmonic generation and ionization of atoms with long-range and short-range potentials in intense laser fields. Acta Physica Sinica, 2004, 53(3): 750-755. doi: 10.7498/aps.53.750
    [18] SHAO LEIL, HUO YU-KUN, WANG PING-XIAO, KONG QING, YUAN XIANG-QUN, FENG LIANG. EFFECT OF FIELD POLARIZATION DIRECTION ON ACCELERATING ELECTRON WITH EXTRA-INTENSE STATIONARY LASER BEAM. Acta Physica Sinica, 2001, 50(7): 1284-1289. doi: 10.7498/aps.50.1284
    [19] ZHOU XIAO-XIN, LI BAI-WEN. CONTRIBUTION OF THE BOUND STATES AND CONTINUUM STATES OF AN ATOM IN INTENSE LASER FIELDS TO HIGH HARMONIC GENERATION . Acta Physica Sinica, 2001, 50(10): 1902-1906. doi: 10.7498/aps.50.1902
    [20] ZHENG LI-PING, QIU XI-JUN. THE INFLUENCE OF THE INTENSITY AND THE FREQUENCY ON THE ENHANCED IONIZATION BEHA VIOR OF MULTIATOMIC MOLECULAR IONS IN THE INTENSE LASER FIELDS. Acta Physica Sinica, 2000, 49(10): 1965-1968. doi: 10.7498/aps.49.1965
Metrics
  • Abstract views:  9129
  • PDF Downloads:  1142
  • Cited By: 0
Publishing process
  • Received Date:  09 September 2016
  • Accepted Date:  25 October 2016
  • Published Online:  05 November 2016

/

返回文章
返回