Abstract

The two-dimensional photoelectron momentum distributions (PMD) of F- ions induced by a linearly polarized few-cycle laser pulse are analyzed with the saddle-point (SP) method. The validity of the SP method is confirmed by comparing the PMD with those obtained from direct numerical integration of the transition probability amplitude in the context of strong-field approximation (SFA). We analyze the intra- and inter-cycle interference patterns in the two-dimensional PMD and show that the two-dimensional PMD can be effectively monitored by changing the carrier-envelope phase of few-cycle laser pulse. In addition, by separately calculating the two-dimensional PMD formed in the different detachment steps, we find that the rich oscillatory patterns in the two-dimensional PMD can be mainly attributed to the interference effects of electronic wave packets in the classical propagation step after the ionization, and part of intra-cycle interference fringes’ shape is affected by the sub-barrier phase.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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References

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    [Crossref]
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    [Crossref]
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    [Crossref]
  25. S. F. C. Shearer and C. R. J. Addis, “Strong-field photodetachment of H− by few-cycle laser pulses,” Phys. Rev. A 85(6), 063409 (2012).
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  26. S. F. C. Shearer and M. R. Monteith, “Direct photodetachment of F− by mid-infrared few-cycle femtosecond laser pulses,” Phys. Rev. A 88(3), 033415 (2013).
    [Crossref]
  27. T.-M. Yan and D. Bauer, “Sub-barrier Coulomb effects on the interference pattern in tunneling-ionization photoelectron spectra,” Phys. Rev. A 86(5), 053403 (2012).
    [Crossref]
  28. V. S. Popov, “Imaginary-time method in quantum mechanics and field theory,” Phys. At. Nucl. 68(4), 686 (2005).
    [Crossref]
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    [Crossref]
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    [Crossref]

2017 (1)

M. Han, P. Ge, Y. Shao, M.-M. Liu, Y. Deng, C. Wu, Q. Gong, and Y. Liu, “Revealing the sub-barrier phase using a spatiotemporal interferometer with orthogonal two-color laser fields of comparable intensity,” Phys. Rev. Lett. 119(7), 073201 (2017).
[Crossref] [PubMed]

2016 (1)

G. F. Gribakin and S. M. K. Law, “Comment on “Direct photodetachment of F− by mid-infrared few-cycle femtosecond laser pulses”,” Phys. Rev. A 94(5), 057401 (2016).
[Crossref]

2014 (3)

S. V. Popruzhenko, “Keldysh theory of strong field ionization: history, applications, difficulties and perspectives,” J. Phys. At. Mol. Opt. Phys. 47(20), 204001 (2014).
[Crossref]

D. G. Arbó, S. Nagele, X.-M. Tong, X. Xie, M. Kitzler, and J. Burgdörfer, “Interference of electron wave packets in atomic ionization by subcycle sculpted laser pulses,” Phys. Rev. A 89(4), 043414 (2014).
[Crossref]

M. Li, J.-W. Geng, H. Liu, Y. Deng, C. Wu, L.-Y. Peng, Q. Gong, and Y. Liu, “Classical-quantum correspondence for above-threshold ionization,” Phys. Rev. Lett. 112(11), 113002 (2014).
[Crossref] [PubMed]

2013 (1)

S. F. C. Shearer and M. R. Monteith, “Direct photodetachment of F− by mid-infrared few-cycle femtosecond laser pulses,” Phys. Rev. A 88(3), 033415 (2013).
[Crossref]

2012 (4)

T.-M. Yan and D. Bauer, “Sub-barrier Coulomb effects on the interference pattern in tunneling-ionization photoelectron spectra,” Phys. Rev. A 86(5), 053403 (2012).
[Crossref]

A. P. Korneev, S. V. Popruzhenko, S. P. Goreslavski, W. Becker, G. G. Paulus, B. Fetić, and D. B. Milošević, “Interference structure of above-threshold ionization versus above-threshold detachment,” New J. Phys. 14(5), 055019 (2012).
[Crossref]

S. F. C. Shearer and C. R. J. Addis, “Strong-field photodetachment of H− by few-cycle laser pulses,” Phys. Rev. A 85(6), 063409 (2012).
[Crossref]

X. Xie, S. Roither, D. Kartashov, E. Persson, D. G. Arbó, L. Zhang, S. Gräfe, M. S. Schöffler, J. Burgdörfer, A. Baltuška, and M. Kitzler, “Attosecond probe of valence-electron wave packets by subcycle sculpted laser fields,” Phys. Rev. Lett. 108(19), 193004 (2012).
[Crossref] [PubMed]

2011 (2)

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

P. B. Corkum, “Recollision physics,” Phys. Today 64(3), 36–41 (2011).
[Crossref]

2010 (3)

D. G. Arbó, K. L. Ishikawa, K. Schiessl, E. Persson, and J. Burgdörfer, “Intracycle and intercycle interferences in above-threshold ionization: the time grating,” Phys. Rev. A 81(2), 021403 (2010).
[Crossref]

T.-M. Yan, S. V. Popruzhenko, M. J. J. Vrakking, and D. Bauer, “Low-energy structures in strong field ionization revealed by quantum orbits,” Phys. Rev. Lett. 105(25), 253002 (2010).
[Crossref] [PubMed]

A. Gazibegović-Busuladzić, D. B. Milosević, W. Becker, B. Bergues, H. Hultgren, and I. Y. Kiyan, “Electron rescattering in above-threshold photodetachment of negative ions,” Phys. Rev. Lett. 104(10), 103004 (2010).
[Crossref] [PubMed]

2009 (2)

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

F. Krausz and M. Ivanov, “Attosecond physics,” Rev. Mod. Phys. 81(1), 163–234 (2009).
[Crossref]

2008 (1)

X. X. Zhou, Z. J. Chen, T. Morishita, A.-T. Le, and C. D. Lin, “Retrieval of electron-atom scattering cross sections from laser-induced electron rescattering of atomic negative ions in intense laser fields,” Phys. Rev. A 77(5), 053410 (2008).
[Crossref]

2007 (3)

A. Kramo, E. Hasovic, D. B. Milošević, and W. Becker, “Above-threshold detachment by a two-color bicircular laser field,” Laser Phys. Lett. 4(4), 279–286 (2007).
[Crossref]

S. Bivona, G. Bonanno, R. Burlon, and C. Leone, “Interference effects in photodetachment of F− in a strong circularly polarized laser pulse,” Phys. Rev. A 76(2), 021401 (2007).
[Crossref]

B. Bergues, Z. Ansari, D. Hanstorp, and I. Y. Kiyan, “Photodetachment in a strong laser field: an experimental test of Keldysh-like theories,” Phys. Rev. A 75(6), 063415 (2007).
[Crossref]

2006 (2)

D. B. Milošević, G. G. Paulus, D. Bauer, and W. Becker, “Above-threshold ionization by few-cycle pulses,” J. Phys. At. Mol. Opt. Phys. 39(14), R203–R262 (2006).
[Crossref]

S. Bivona, R. Burlon, and C. Leone, “Photodetachment of F− by a few-cycle circularly polarized laser field,” Opt. Express 14(26), 12576–12583 (2006).
[Crossref] [PubMed]

2005 (3)

V. S. Popov, “Imaginary-time method in quantum mechanics and field theory,” Phys. At. Nucl. 68(4), 686 (2005).
[Crossref]

F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milosević, D. Bauer, W. Becker, and G. G. Paulus, “Attosecond double-slit experiment,” Phys. Rev. Lett. 95(4), 040401 (2005).
[Crossref] [PubMed]

B. Bergues, Y. Ni, H. Helm, and I. Y. Kiyan, “Experimental study of photodetachment in a strong laser field of circular polarization,” Phys. Rev. Lett. 95(26), 263002 (2005).
[Crossref] [PubMed]

2003 (1)

I. Y. Kiyan and H. Helm, “Production of energetic electrons in the process of photodetachment of F−.,” Phys. Rev. Lett. 90(18), 183001 (2003).
[Crossref] [PubMed]

2001 (1)

R. Reichle, H. Helm, and I. Y. Kiyan, “Photodetachment of H− in a strong infrared laser field,” Phys. Rev. Lett. 87(24), 243001 (2001).
[Crossref] [PubMed]

1997 (1)

G. F. Gribakin and M. Y. Kuchiev, “Multiphoton detachment of electrons from negative ions,” Phys. Rev. A 55(5), 3760–3771 (1997).
[Crossref]

1979 (1)

P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following six-photon ionization of xenon atoms,” Phys. Rev. Lett. 42(17), 1127–1130 (1979).
[Crossref]

Addis, C. R. J.

S. F. C. Shearer and C. R. J. Addis, “Strong-field photodetachment of H− by few-cycle laser pulses,” Phys. Rev. A 85(6), 063409 (2012).
[Crossref]

Agostini, P.

P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following six-photon ionization of xenon atoms,” Phys. Rev. Lett. 42(17), 1127–1130 (1979).
[Crossref]

Ansari, Z.

B. Bergues, Z. Ansari, D. Hanstorp, and I. Y. Kiyan, “Photodetachment in a strong laser field: an experimental test of Keldysh-like theories,” Phys. Rev. A 75(6), 063415 (2007).
[Crossref]

Arbó, D. G.

D. G. Arbó, S. Nagele, X.-M. Tong, X. Xie, M. Kitzler, and J. Burgdörfer, “Interference of electron wave packets in atomic ionization by subcycle sculpted laser pulses,” Phys. Rev. A 89(4), 043414 (2014).
[Crossref]

X. Xie, S. Roither, D. Kartashov, E. Persson, D. G. Arbó, L. Zhang, S. Gräfe, M. S. Schöffler, J. Burgdörfer, A. Baltuška, and M. Kitzler, “Attosecond probe of valence-electron wave packets by subcycle sculpted laser fields,” Phys. Rev. Lett. 108(19), 193004 (2012).
[Crossref] [PubMed]

D. G. Arbó, K. L. Ishikawa, K. Schiessl, E. Persson, and J. Burgdörfer, “Intracycle and intercycle interferences in above-threshold ionization: the time grating,” Phys. Rev. A 81(2), 021403 (2010).
[Crossref]

Bakker, J. M.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Baltuška, A.

X. Xie, S. Roither, D. Kartashov, E. Persson, D. G. Arbó, L. Zhang, S. Gräfe, M. S. Schöffler, J. Burgdörfer, A. Baltuška, and M. Kitzler, “Attosecond probe of valence-electron wave packets by subcycle sculpted laser fields,” Phys. Rev. Lett. 108(19), 193004 (2012).
[Crossref] [PubMed]

F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milosević, D. Bauer, W. Becker, and G. G. Paulus, “Attosecond double-slit experiment,” Phys. Rev. Lett. 95(4), 040401 (2005).
[Crossref] [PubMed]

Bauer, D.

T.-M. Yan and D. Bauer, “Sub-barrier Coulomb effects on the interference pattern in tunneling-ionization photoelectron spectra,” Phys. Rev. A 86(5), 053403 (2012).
[Crossref]

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

T.-M. Yan, S. V. Popruzhenko, M. J. J. Vrakking, and D. Bauer, “Low-energy structures in strong field ionization revealed by quantum orbits,” Phys. Rev. Lett. 105(25), 253002 (2010).
[Crossref] [PubMed]

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

D. B. Milošević, G. G. Paulus, D. Bauer, and W. Becker, “Above-threshold ionization by few-cycle pulses,” J. Phys. At. Mol. Opt. Phys. 39(14), R203–R262 (2006).
[Crossref]

F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milosević, D. Bauer, W. Becker, and G. G. Paulus, “Attosecond double-slit experiment,” Phys. Rev. Lett. 95(4), 040401 (2005).
[Crossref] [PubMed]

Becker, W.

A. P. Korneev, S. V. Popruzhenko, S. P. Goreslavski, W. Becker, G. G. Paulus, B. Fetić, and D. B. Milošević, “Interference structure of above-threshold ionization versus above-threshold detachment,” New J. Phys. 14(5), 055019 (2012).
[Crossref]

A. Gazibegović-Busuladzić, D. B. Milosević, W. Becker, B. Bergues, H. Hultgren, and I. Y. Kiyan, “Electron rescattering in above-threshold photodetachment of negative ions,” Phys. Rev. Lett. 104(10), 103004 (2010).
[Crossref] [PubMed]

A. Kramo, E. Hasovic, D. B. Milošević, and W. Becker, “Above-threshold detachment by a two-color bicircular laser field,” Laser Phys. Lett. 4(4), 279–286 (2007).
[Crossref]

D. B. Milošević, G. G. Paulus, D. Bauer, and W. Becker, “Above-threshold ionization by few-cycle pulses,” J. Phys. At. Mol. Opt. Phys. 39(14), R203–R262 (2006).
[Crossref]

F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milosević, D. Bauer, W. Becker, and G. G. Paulus, “Attosecond double-slit experiment,” Phys. Rev. Lett. 95(4), 040401 (2005).
[Crossref] [PubMed]

Berden, G.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Bergues, B.

A. Gazibegović-Busuladzić, D. B. Milosević, W. Becker, B. Bergues, H. Hultgren, and I. Y. Kiyan, “Electron rescattering in above-threshold photodetachment of negative ions,” Phys. Rev. Lett. 104(10), 103004 (2010).
[Crossref] [PubMed]

B. Bergues, Z. Ansari, D. Hanstorp, and I. Y. Kiyan, “Photodetachment in a strong laser field: an experimental test of Keldysh-like theories,” Phys. Rev. A 75(6), 063415 (2007).
[Crossref]

B. Bergues, Y. Ni, H. Helm, and I. Y. Kiyan, “Experimental study of photodetachment in a strong laser field of circular polarization,” Phys. Rev. Lett. 95(26), 263002 (2005).
[Crossref] [PubMed]

Bivona, S.

S. Bivona, G. Bonanno, R. Burlon, and C. Leone, “Interference effects in photodetachment of F− in a strong circularly polarized laser pulse,” Phys. Rev. A 76(2), 021401 (2007).
[Crossref]

S. Bivona, R. Burlon, and C. Leone, “Photodetachment of F− by a few-cycle circularly polarized laser field,” Opt. Express 14(26), 12576–12583 (2006).
[Crossref] [PubMed]

Bonanno, G.

S. Bivona, G. Bonanno, R. Burlon, and C. Leone, “Interference effects in photodetachment of F− in a strong circularly polarized laser pulse,” Phys. Rev. A 76(2), 021401 (2007).
[Crossref]

Burgdörfer, J.

D. G. Arbó, S. Nagele, X.-M. Tong, X. Xie, M. Kitzler, and J. Burgdörfer, “Interference of electron wave packets in atomic ionization by subcycle sculpted laser pulses,” Phys. Rev. A 89(4), 043414 (2014).
[Crossref]

X. Xie, S. Roither, D. Kartashov, E. Persson, D. G. Arbó, L. Zhang, S. Gräfe, M. S. Schöffler, J. Burgdörfer, A. Baltuška, and M. Kitzler, “Attosecond probe of valence-electron wave packets by subcycle sculpted laser fields,” Phys. Rev. Lett. 108(19), 193004 (2012).
[Crossref] [PubMed]

D. G. Arbó, K. L. Ishikawa, K. Schiessl, E. Persson, and J. Burgdörfer, “Intracycle and intercycle interferences in above-threshold ionization: the time grating,” Phys. Rev. A 81(2), 021403 (2010).
[Crossref]

Burlon, R.

S. Bivona, G. Bonanno, R. Burlon, and C. Leone, “Interference effects in photodetachment of F− in a strong circularly polarized laser pulse,” Phys. Rev. A 76(2), 021401 (2007).
[Crossref]

S. Bivona, R. Burlon, and C. Leone, “Photodetachment of F− by a few-cycle circularly polarized laser field,” Opt. Express 14(26), 12576–12583 (2006).
[Crossref] [PubMed]

Cauchy, C.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Chen, Z. J.

X. X. Zhou, Z. J. Chen, T. Morishita, A.-T. Le, and C. D. Lin, “Retrieval of electron-atom scattering cross sections from laser-induced electron rescattering of atomic negative ions in intense laser fields,” Phys. Rev. A 77(5), 053410 (2008).
[Crossref]

Corkum, P. B.

P. B. Corkum, “Recollision physics,” Phys. Today 64(3), 36–41 (2011).
[Crossref]

Deng, Y.

M. Han, P. Ge, Y. Shao, M.-M. Liu, Y. Deng, C. Wu, Q. Gong, and Y. Liu, “Revealing the sub-barrier phase using a spatiotemporal interferometer with orthogonal two-color laser fields of comparable intensity,” Phys. Rev. Lett. 119(7), 073201 (2017).
[Crossref] [PubMed]

M. Li, J.-W. Geng, H. Liu, Y. Deng, C. Wu, L.-Y. Peng, Q. Gong, and Y. Liu, “Classical-quantum correspondence for above-threshold ionization,” Phys. Rev. Lett. 112(11), 113002 (2014).
[Crossref] [PubMed]

Dürr, M.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Ergler, T.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Fabre, F.

P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following six-photon ionization of xenon atoms,” Phys. Rev. Lett. 42(17), 1127–1130 (1979).
[Crossref]

Fetic, B.

A. P. Korneev, S. V. Popruzhenko, S. P. Goreslavski, W. Becker, G. G. Paulus, B. Fetić, and D. B. Milošević, “Interference structure of above-threshold ionization versus above-threshold detachment,” New J. Phys. 14(5), 055019 (2012).
[Crossref]

Gazibegovic-Busuladzic, A.

A. Gazibegović-Busuladzić, D. B. Milosević, W. Becker, B. Bergues, H. Hultgren, and I. Y. Kiyan, “Electron rescattering in above-threshold photodetachment of negative ions,” Phys. Rev. Lett. 104(10), 103004 (2010).
[Crossref] [PubMed]

Ge, P.

M. Han, P. Ge, Y. Shao, M.-M. Liu, Y. Deng, C. Wu, Q. Gong, and Y. Liu, “Revealing the sub-barrier phase using a spatiotemporal interferometer with orthogonal two-color laser fields of comparable intensity,” Phys. Rev. Lett. 119(7), 073201 (2017).
[Crossref] [PubMed]

Geng, J.-W.

M. Li, J.-W. Geng, H. Liu, Y. Deng, C. Wu, L.-Y. Peng, Q. Gong, and Y. Liu, “Classical-quantum correspondence for above-threshold ionization,” Phys. Rev. Lett. 112(11), 113002 (2014).
[Crossref] [PubMed]

Gijsbertsen, A.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Gong, Q.

M. Han, P. Ge, Y. Shao, M.-M. Liu, Y. Deng, C. Wu, Q. Gong, and Y. Liu, “Revealing the sub-barrier phase using a spatiotemporal interferometer with orthogonal two-color laser fields of comparable intensity,” Phys. Rev. Lett. 119(7), 073201 (2017).
[Crossref] [PubMed]

M. Li, J.-W. Geng, H. Liu, Y. Deng, C. Wu, L.-Y. Peng, Q. Gong, and Y. Liu, “Classical-quantum correspondence for above-threshold ionization,” Phys. Rev. Lett. 112(11), 113002 (2014).
[Crossref] [PubMed]

Gopal, R.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Goreslavski, S. P.

A. P. Korneev, S. V. Popruzhenko, S. P. Goreslavski, W. Becker, G. G. Paulus, B. Fetić, and D. B. Milošević, “Interference structure of above-threshold ionization versus above-threshold detachment,” New J. Phys. 14(5), 055019 (2012).
[Crossref]

Goulielmakis, E.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milosević, D. Bauer, W. Becker, and G. G. Paulus, “Attosecond double-slit experiment,” Phys. Rev. Lett. 95(4), 040401 (2005).
[Crossref] [PubMed]

Gräfe, S.

X. Xie, S. Roither, D. Kartashov, E. Persson, D. G. Arbó, L. Zhang, S. Gräfe, M. S. Schöffler, J. Burgdörfer, A. Baltuška, and M. Kitzler, “Attosecond probe of valence-electron wave packets by subcycle sculpted laser fields,” Phys. Rev. Lett. 108(19), 193004 (2012).
[Crossref] [PubMed]

Gribakin, G. F.

G. F. Gribakin and S. M. K. Law, “Comment on “Direct photodetachment of F− by mid-infrared few-cycle femtosecond laser pulses”,” Phys. Rev. A 94(5), 057401 (2016).
[Crossref]

G. F. Gribakin and M. Y. Kuchiev, “Multiphoton detachment of electrons from negative ions,” Phys. Rev. A 55(5), 3760–3771 (1997).
[Crossref]

Han, M.

M. Han, P. Ge, Y. Shao, M.-M. Liu, Y. Deng, C. Wu, Q. Gong, and Y. Liu, “Revealing the sub-barrier phase using a spatiotemporal interferometer with orthogonal two-color laser fields of comparable intensity,” Phys. Rev. Lett. 119(7), 073201 (2017).
[Crossref] [PubMed]

Hanstorp, D.

B. Bergues, Z. Ansari, D. Hanstorp, and I. Y. Kiyan, “Photodetachment in a strong laser field: an experimental test of Keldysh-like theories,” Phys. Rev. A 75(6), 063415 (2007).
[Crossref]

Hasovic, E.

A. Kramo, E. Hasovic, D. B. Milošević, and W. Becker, “Above-threshold detachment by a two-color bicircular laser field,” Laser Phys. Lett. 4(4), 279–286 (2007).
[Crossref]

Helm, H.

B. Bergues, Y. Ni, H. Helm, and I. Y. Kiyan, “Experimental study of photodetachment in a strong laser field of circular polarization,” Phys. Rev. Lett. 95(26), 263002 (2005).
[Crossref] [PubMed]

I. Y. Kiyan and H. Helm, “Production of energetic electrons in the process of photodetachment of F−.,” Phys. Rev. Lett. 90(18), 183001 (2003).
[Crossref] [PubMed]

R. Reichle, H. Helm, and I. Y. Kiyan, “Photodetachment of H− in a strong infrared laser field,” Phys. Rev. Lett. 87(24), 243001 (2001).
[Crossref] [PubMed]

Herrwerth, O.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Huismans, Y.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Hultgren, H.

A. Gazibegović-Busuladzić, D. B. Milosević, W. Becker, B. Bergues, H. Hultgren, and I. Y. Kiyan, “Electron rescattering in above-threshold photodetachment of negative ions,” Phys. Rev. Lett. 104(10), 103004 (2010).
[Crossref] [PubMed]

Ishikawa, K. L.

D. G. Arbó, K. L. Ishikawa, K. Schiessl, E. Persson, and J. Burgdörfer, “Intracycle and intercycle interferences in above-threshold ionization: the time grating,” Phys. Rev. A 81(2), 021403 (2010).
[Crossref]

Ivanov, M.

F. Krausz and M. Ivanov, “Attosecond physics,” Rev. Mod. Phys. 81(1), 163–234 (2009).
[Crossref]

Ivanov, M. Yu.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Jungmann, J. H.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Kartashov, D.

X. Xie, S. Roither, D. Kartashov, E. Persson, D. G. Arbó, L. Zhang, S. Gräfe, M. S. Schöffler, J. Burgdörfer, A. Baltuška, and M. Kitzler, “Attosecond probe of valence-electron wave packets by subcycle sculpted laser fields,” Phys. Rev. Lett. 108(19), 193004 (2012).
[Crossref] [PubMed]

Kitzler, M.

D. G. Arbó, S. Nagele, X.-M. Tong, X. Xie, M. Kitzler, and J. Burgdörfer, “Interference of electron wave packets in atomic ionization by subcycle sculpted laser pulses,” Phys. Rev. A 89(4), 043414 (2014).
[Crossref]

X. Xie, S. Roither, D. Kartashov, E. Persson, D. G. Arbó, L. Zhang, S. Gräfe, M. S. Schöffler, J. Burgdörfer, A. Baltuška, and M. Kitzler, “Attosecond probe of valence-electron wave packets by subcycle sculpted laser fields,” Phys. Rev. Lett. 108(19), 193004 (2012).
[Crossref] [PubMed]

Kiyan, I. Y.

A. Gazibegović-Busuladzić, D. B. Milosević, W. Becker, B. Bergues, H. Hultgren, and I. Y. Kiyan, “Electron rescattering in above-threshold photodetachment of negative ions,” Phys. Rev. Lett. 104(10), 103004 (2010).
[Crossref] [PubMed]

B. Bergues, Z. Ansari, D. Hanstorp, and I. Y. Kiyan, “Photodetachment in a strong laser field: an experimental test of Keldysh-like theories,” Phys. Rev. A 75(6), 063415 (2007).
[Crossref]

B. Bergues, Y. Ni, H. Helm, and I. Y. Kiyan, “Experimental study of photodetachment in a strong laser field of circular polarization,” Phys. Rev. Lett. 95(26), 263002 (2005).
[Crossref] [PubMed]

I. Y. Kiyan and H. Helm, “Production of energetic electrons in the process of photodetachment of F−.,” Phys. Rev. Lett. 90(18), 183001 (2003).
[Crossref] [PubMed]

R. Reichle, H. Helm, and I. Y. Kiyan, “Photodetachment of H− in a strong infrared laser field,” Phys. Rev. Lett. 87(24), 243001 (2001).
[Crossref] [PubMed]

Kling, M. F.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Korneev, A. P.

A. P. Korneev, S. V. Popruzhenko, S. P. Goreslavski, W. Becker, G. G. Paulus, B. Fetić, and D. B. Milošević, “Interference structure of above-threshold ionization versus above-threshold detachment,” New J. Phys. 14(5), 055019 (2012).
[Crossref]

Kramo, A.

A. Kramo, E. Hasovic, D. B. Milošević, and W. Becker, “Above-threshold detachment by a two-color bicircular laser field,” Laser Phys. Lett. 4(4), 279–286 (2007).
[Crossref]

Krausz, F.

F. Krausz and M. Ivanov, “Attosecond physics,” Rev. Mod. Phys. 81(1), 163–234 (2009).
[Crossref]

F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milosević, D. Bauer, W. Becker, and G. G. Paulus, “Attosecond double-slit experiment,” Phys. Rev. Lett. 95(4), 040401 (2005).
[Crossref] [PubMed]

Kuchiev, M. Y.

G. F. Gribakin and M. Y. Kuchiev, “Multiphoton detachment of electrons from negative ions,” Phys. Rev. A 55(5), 3760–3771 (1997).
[Crossref]

Kühnel, K.-U.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Kurka, M.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Law, S. M. K.

G. F. Gribakin and S. M. K. Law, “Comment on “Direct photodetachment of F− by mid-infrared few-cycle femtosecond laser pulses”,” Phys. Rev. A 94(5), 057401 (2016).
[Crossref]

Le, A.-T.

X. X. Zhou, Z. J. Chen, T. Morishita, A.-T. Le, and C. D. Lin, “Retrieval of electron-atom scattering cross sections from laser-induced electron rescattering of atomic negative ions in intense laser fields,” Phys. Rev. A 77(5), 053410 (2008).
[Crossref]

Leone, C.

S. Bivona, G. Bonanno, R. Burlon, and C. Leone, “Interference effects in photodetachment of F− in a strong circularly polarized laser pulse,” Phys. Rev. A 76(2), 021401 (2007).
[Crossref]

S. Bivona, R. Burlon, and C. Leone, “Photodetachment of F− by a few-cycle circularly polarized laser field,” Opt. Express 14(26), 12576–12583 (2006).
[Crossref] [PubMed]

Lépine, F.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Lezius, M.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Li, M.

M. Li, J.-W. Geng, H. Liu, Y. Deng, C. Wu, L.-Y. Peng, Q. Gong, and Y. Liu, “Classical-quantum correspondence for above-threshold ionization,” Phys. Rev. Lett. 112(11), 113002 (2014).
[Crossref] [PubMed]

Lin, C. D.

X. X. Zhou, Z. J. Chen, T. Morishita, A.-T. Le, and C. D. Lin, “Retrieval of electron-atom scattering cross sections from laser-induced electron rescattering of atomic negative ions in intense laser fields,” Phys. Rev. A 77(5), 053410 (2008).
[Crossref]

Lindner, F.

F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milosević, D. Bauer, W. Becker, and G. G. Paulus, “Attosecond double-slit experiment,” Phys. Rev. Lett. 95(4), 040401 (2005).
[Crossref] [PubMed]

Liu, H.

M. Li, J.-W. Geng, H. Liu, Y. Deng, C. Wu, L.-Y. Peng, Q. Gong, and Y. Liu, “Classical-quantum correspondence for above-threshold ionization,” Phys. Rev. Lett. 112(11), 113002 (2014).
[Crossref] [PubMed]

Liu, M.-M.

M. Han, P. Ge, Y. Shao, M.-M. Liu, Y. Deng, C. Wu, Q. Gong, and Y. Liu, “Revealing the sub-barrier phase using a spatiotemporal interferometer with orthogonal two-color laser fields of comparable intensity,” Phys. Rev. Lett. 119(7), 073201 (2017).
[Crossref] [PubMed]

Liu, Y.

M. Han, P. Ge, Y. Shao, M.-M. Liu, Y. Deng, C. Wu, Q. Gong, and Y. Liu, “Revealing the sub-barrier phase using a spatiotemporal interferometer with orthogonal two-color laser fields of comparable intensity,” Phys. Rev. Lett. 119(7), 073201 (2017).
[Crossref] [PubMed]

M. Li, J.-W. Geng, H. Liu, Y. Deng, C. Wu, L.-Y. Peng, Q. Gong, and Y. Liu, “Classical-quantum correspondence for above-threshold ionization,” Phys. Rev. Lett. 112(11), 113002 (2014).
[Crossref] [PubMed]

Logman, P. S. W. M.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Mainfray, G.

P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following six-photon ionization of xenon atoms,” Phys. Rev. Lett. 42(17), 1127–1130 (1979).
[Crossref]

Marchenko, T.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Milosevic, D. B.

A. Gazibegović-Busuladzić, D. B. Milosević, W. Becker, B. Bergues, H. Hultgren, and I. Y. Kiyan, “Electron rescattering in above-threshold photodetachment of negative ions,” Phys. Rev. Lett. 104(10), 103004 (2010).
[Crossref] [PubMed]

F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milosević, D. Bauer, W. Becker, and G. G. Paulus, “Attosecond double-slit experiment,” Phys. Rev. Lett. 95(4), 040401 (2005).
[Crossref] [PubMed]

Miloševic, D. B.

A. P. Korneev, S. V. Popruzhenko, S. P. Goreslavski, W. Becker, G. G. Paulus, B. Fetić, and D. B. Milošević, “Interference structure of above-threshold ionization versus above-threshold detachment,” New J. Phys. 14(5), 055019 (2012).
[Crossref]

A. Kramo, E. Hasovic, D. B. Milošević, and W. Becker, “Above-threshold detachment by a two-color bicircular laser field,” Laser Phys. Lett. 4(4), 279–286 (2007).
[Crossref]

D. B. Milošević, G. G. Paulus, D. Bauer, and W. Becker, “Above-threshold ionization by few-cycle pulses,” J. Phys. At. Mol. Opt. Phys. 39(14), R203–R262 (2006).
[Crossref]

Monteith, M. R.

S. F. C. Shearer and M. R. Monteith, “Direct photodetachment of F− by mid-infrared few-cycle femtosecond laser pulses,” Phys. Rev. A 88(3), 033415 (2013).
[Crossref]

Morishita, T.

X. X. Zhou, Z. J. Chen, T. Morishita, A.-T. Le, and C. D. Lin, “Retrieval of electron-atom scattering cross sections from laser-induced electron rescattering of atomic negative ions in intense laser fields,” Phys. Rev. A 77(5), 053410 (2008).
[Crossref]

Moshammer, R.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Muller, H. G.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Nagele, S.

D. G. Arbó, S. Nagele, X.-M. Tong, X. Xie, M. Kitzler, and J. Burgdörfer, “Interference of electron wave packets in atomic ionization by subcycle sculpted laser pulses,” Phys. Rev. A 89(4), 043414 (2014).
[Crossref]

Ni, Y.

B. Bergues, Y. Ni, H. Helm, and I. Y. Kiyan, “Experimental study of photodetachment in a strong laser field of circular polarization,” Phys. Rev. Lett. 95(26), 263002 (2005).
[Crossref] [PubMed]

Paulus, G. G.

A. P. Korneev, S. V. Popruzhenko, S. P. Goreslavski, W. Becker, G. G. Paulus, B. Fetić, and D. B. Milošević, “Interference structure of above-threshold ionization versus above-threshold detachment,” New J. Phys. 14(5), 055019 (2012).
[Crossref]

D. B. Milošević, G. G. Paulus, D. Bauer, and W. Becker, “Above-threshold ionization by few-cycle pulses,” J. Phys. At. Mol. Opt. Phys. 39(14), R203–R262 (2006).
[Crossref]

F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milosević, D. Bauer, W. Becker, and G. G. Paulus, “Attosecond double-slit experiment,” Phys. Rev. Lett. 95(4), 040401 (2005).
[Crossref] [PubMed]

Peng, L.-Y.

M. Li, J.-W. Geng, H. Liu, Y. Deng, C. Wu, L.-Y. Peng, Q. Gong, and Y. Liu, “Classical-quantum correspondence for above-threshold ionization,” Phys. Rev. Lett. 112(11), 113002 (2014).
[Crossref] [PubMed]

Persson, E.

X. Xie, S. Roither, D. Kartashov, E. Persson, D. G. Arbó, L. Zhang, S. Gräfe, M. S. Schöffler, J. Burgdörfer, A. Baltuška, and M. Kitzler, “Attosecond probe of valence-electron wave packets by subcycle sculpted laser fields,” Phys. Rev. Lett. 108(19), 193004 (2012).
[Crossref] [PubMed]

D. G. Arbó, K. L. Ishikawa, K. Schiessl, E. Persson, and J. Burgdörfer, “Intracycle and intercycle interferences in above-threshold ionization: the time grating,” Phys. Rev. A 81(2), 021403 (2010).
[Crossref]

Petite, G.

P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following six-photon ionization of xenon atoms,” Phys. Rev. Lett. 42(17), 1127–1130 (1979).
[Crossref]

Popov, V. S.

V. S. Popov, “Imaginary-time method in quantum mechanics and field theory,” Phys. At. Nucl. 68(4), 686 (2005).
[Crossref]

Popruzhenko, S. V.

S. V. Popruzhenko, “Keldysh theory of strong field ionization: history, applications, difficulties and perspectives,” J. Phys. At. Mol. Opt. Phys. 47(20), 204001 (2014).
[Crossref]

A. P. Korneev, S. V. Popruzhenko, S. P. Goreslavski, W. Becker, G. G. Paulus, B. Fetić, and D. B. Milošević, “Interference structure of above-threshold ionization versus above-threshold detachment,” New J. Phys. 14(5), 055019 (2012).
[Crossref]

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

T.-M. Yan, S. V. Popruzhenko, M. J. J. Vrakking, and D. Bauer, “Low-energy structures in strong field ionization revealed by quantum orbits,” Phys. Rev. Lett. 105(25), 253002 (2010).
[Crossref] [PubMed]

Rahman, N. K.

P. Agostini, F. Fabre, G. Mainfray, G. Petite, and N. K. Rahman, “Free-free transitions following six-photon ionization of xenon atoms,” Phys. Rev. Lett. 42(17), 1127–1130 (1979).
[Crossref]

Redlich, B.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Reichle, R.

R. Reichle, H. Helm, and I. Y. Kiyan, “Photodetachment of H− in a strong infrared laser field,” Phys. Rev. Lett. 87(24), 243001 (2001).
[Crossref] [PubMed]

Roither, S.

X. Xie, S. Roither, D. Kartashov, E. Persson, D. G. Arbó, L. Zhang, S. Gräfe, M. S. Schöffler, J. Burgdörfer, A. Baltuška, and M. Kitzler, “Attosecond probe of valence-electron wave packets by subcycle sculpted laser fields,” Phys. Rev. Lett. 108(19), 193004 (2012).
[Crossref] [PubMed]

Rouzée, A.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Rudenko, A.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Schafer, K. J.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Schätzel, M. G.

F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milosević, D. Bauer, W. Becker, and G. G. Paulus, “Attosecond double-slit experiment,” Phys. Rev. Lett. 95(4), 040401 (2005).
[Crossref] [PubMed]

Schiessl, K.

D. G. Arbó, K. L. Ishikawa, K. Schiessl, E. Persson, and J. Burgdörfer, “Intracycle and intercycle interferences in above-threshold ionization: the time grating,” Phys. Rev. A 81(2), 021403 (2010).
[Crossref]

Schöffler, M. S.

X. Xie, S. Roither, D. Kartashov, E. Persson, D. G. Arbó, L. Zhang, S. Gräfe, M. S. Schöffler, J. Burgdörfer, A. Baltuška, and M. Kitzler, “Attosecond probe of valence-electron wave packets by subcycle sculpted laser fields,” Phys. Rev. Lett. 108(19), 193004 (2012).
[Crossref] [PubMed]

Schröter, C.-D.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Schultze, M.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Shao, Y.

M. Han, P. Ge, Y. Shao, M.-M. Liu, Y. Deng, C. Wu, Q. Gong, and Y. Liu, “Revealing the sub-barrier phase using a spatiotemporal interferometer with orthogonal two-color laser fields of comparable intensity,” Phys. Rev. Lett. 119(7), 073201 (2017).
[Crossref] [PubMed]

Shearer, S. F. C.

S. F. C. Shearer and M. R. Monteith, “Direct photodetachment of F− by mid-infrared few-cycle femtosecond laser pulses,” Phys. Rev. A 88(3), 033415 (2013).
[Crossref]

S. F. C. Shearer and C. R. J. Addis, “Strong-field photodetachment of H− by few-cycle laser pulses,” Phys. Rev. A 85(6), 063409 (2012).
[Crossref]

Simeonidis, K.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Smirnova, O.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Smolkowska, A. S.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Spanner, M.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Tong, X.-M.

D. G. Arbó, S. Nagele, X.-M. Tong, X. Xie, M. Kitzler, and J. Burgdörfer, “Interference of electron wave packets in atomic ionization by subcycle sculpted laser pulses,” Phys. Rev. A 89(4), 043414 (2014).
[Crossref]

Tschuch, S.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Uiberacker, M.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Ullrich, J.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

Uphues, T.

R. Gopal, K. Simeonidis, R. Moshammer, T. Ergler, M. Dürr, M. Kurka, K.-U. Kühnel, S. Tschuch, C.-D. Schröter, D. Bauer, J. Ullrich, A. Rudenko, O. Herrwerth, T. Uphues, M. Schultze, E. Goulielmakis, M. Uiberacker, M. Lezius, and M. F. Kling, “Three-dimensional momentum imaging of electron wave packet interference in few-cycle laser pulses,” Phys. Rev. Lett. 103(5), 053001 (2009).
[Crossref] [PubMed]

van der Meer, A. F. G.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Vermin, W.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Vrakking, M. J. J.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

T.-M. Yan, S. V. Popruzhenko, M. J. J. Vrakking, and D. Bauer, “Low-energy structures in strong field ionization revealed by quantum orbits,” Phys. Rev. Lett. 105(25), 253002 (2010).
[Crossref] [PubMed]

Walther, H.

F. Lindner, M. G. Schätzel, H. Walther, A. Baltuška, E. Goulielmakis, F. Krausz, D. B. Milosević, D. Bauer, W. Becker, and G. G. Paulus, “Attosecond double-slit experiment,” Phys. Rev. Lett. 95(4), 040401 (2005).
[Crossref] [PubMed]

Wu, C.

M. Han, P. Ge, Y. Shao, M.-M. Liu, Y. Deng, C. Wu, Q. Gong, and Y. Liu, “Revealing the sub-barrier phase using a spatiotemporal interferometer with orthogonal two-color laser fields of comparable intensity,” Phys. Rev. Lett. 119(7), 073201 (2017).
[Crossref] [PubMed]

M. Li, J.-W. Geng, H. Liu, Y. Deng, C. Wu, L.-Y. Peng, Q. Gong, and Y. Liu, “Classical-quantum correspondence for above-threshold ionization,” Phys. Rev. Lett. 112(11), 113002 (2014).
[Crossref] [PubMed]

Xie, X.

D. G. Arbó, S. Nagele, X.-M. Tong, X. Xie, M. Kitzler, and J. Burgdörfer, “Interference of electron wave packets in atomic ionization by subcycle sculpted laser pulses,” Phys. Rev. A 89(4), 043414 (2014).
[Crossref]

X. Xie, S. Roither, D. Kartashov, E. Persson, D. G. Arbó, L. Zhang, S. Gräfe, M. S. Schöffler, J. Burgdörfer, A. Baltuška, and M. Kitzler, “Attosecond probe of valence-electron wave packets by subcycle sculpted laser fields,” Phys. Rev. Lett. 108(19), 193004 (2012).
[Crossref] [PubMed]

Yan, T.-M.

T.-M. Yan and D. Bauer, “Sub-barrier Coulomb effects on the interference pattern in tunneling-ionization photoelectron spectra,” Phys. Rev. A 86(5), 053403 (2012).
[Crossref]

T.-M. Yan, S. V. Popruzhenko, M. J. J. Vrakking, and D. Bauer, “Low-energy structures in strong field ionization revealed by quantum orbits,” Phys. Rev. Lett. 105(25), 253002 (2010).
[Crossref] [PubMed]

Zamith, S.

Y. Huismans, A. Rouzée, A. Gijsbertsen, J. H. Jungmann, A. S. Smolkowska, P. S. W. M. Logman, F. Lépine, C. Cauchy, S. Zamith, T. Marchenko, J. M. Bakker, G. Berden, B. Redlich, A. F. G. van der Meer, H. G. Muller, W. Vermin, K. J. Schafer, M. Spanner, M. Yu. Ivanov, O. Smirnova, D. Bauer, S. V. Popruzhenko, and M. J. J. Vrakking, “Time-resolved holography with photoelectrons,” Science 331(6013), 61–64 (2011).
[Crossref] [PubMed]

Zhang, L.

X. Xie, S. Roither, D. Kartashov, E. Persson, D. G. Arbó, L. Zhang, S. Gräfe, M. S. Schöffler, J. Burgdörfer, A. Baltuška, and M. Kitzler, “Attosecond probe of valence-electron wave packets by subcycle sculpted laser fields,” Phys. Rev. Lett. 108(19), 193004 (2012).
[Crossref] [PubMed]

Zhou, X. X.

X. X. Zhou, Z. J. Chen, T. Morishita, A.-T. Le, and C. D. Lin, “Retrieval of electron-atom scattering cross sections from laser-induced electron rescattering of atomic negative ions in intense laser fields,” Phys. Rev. A 77(5), 053410 (2008).
[Crossref]

J. Phys. At. Mol. Opt. Phys. (2)

D. B. Milošević, G. G. Paulus, D. Bauer, and W. Becker, “Above-threshold ionization by few-cycle pulses,” J. Phys. At. Mol. Opt. Phys. 39(14), R203–R262 (2006).
[Crossref]

S. V. Popruzhenko, “Keldysh theory of strong field ionization: history, applications, difficulties and perspectives,” J. Phys. At. Mol. Opt. Phys. 47(20), 204001 (2014).
[Crossref]

Laser Phys. Lett. (1)

A. Kramo, E. Hasovic, D. B. Milošević, and W. Becker, “Above-threshold detachment by a two-color bicircular laser field,” Laser Phys. Lett. 4(4), 279–286 (2007).
[Crossref]

New J. Phys. (1)

A. P. Korneev, S. V. Popruzhenko, S. P. Goreslavski, W. Becker, G. G. Paulus, B. Fetić, and D. B. Milošević, “Interference structure of above-threshold ionization versus above-threshold detachment,” New J. Phys. 14(5), 055019 (2012).
[Crossref]

Opt. Express (1)

Phys. At. Nucl. (1)

V. S. Popov, “Imaginary-time method in quantum mechanics and field theory,” Phys. At. Nucl. 68(4), 686 (2005).
[Crossref]

Phys. Rev. A (10)

G. F. Gribakin and S. M. K. Law, “Comment on “Direct photodetachment of F− by mid-infrared few-cycle femtosecond laser pulses”,” Phys. Rev. A 94(5), 057401 (2016).
[Crossref]

S. Bivona, G. Bonanno, R. Burlon, and C. Leone, “Interference effects in photodetachment of F− in a strong circularly polarized laser pulse,” Phys. Rev. A 76(2), 021401 (2007).
[Crossref]

X. X. Zhou, Z. J. Chen, T. Morishita, A.-T. Le, and C. D. Lin, “Retrieval of electron-atom scattering cross sections from laser-induced electron rescattering of atomic negative ions in intense laser fields,” Phys. Rev. A 77(5), 053410 (2008).
[Crossref]

G. F. Gribakin and M. Y. Kuchiev, “Multiphoton detachment of electrons from negative ions,” Phys. Rev. A 55(5), 3760–3771 (1997).
[Crossref]

S. F. C. Shearer and C. R. J. Addis, “Strong-field photodetachment of H− by few-cycle laser pulses,” Phys. Rev. A 85(6), 063409 (2012).
[Crossref]

S. F. C. Shearer and M. R. Monteith, “Direct photodetachment of F− by mid-infrared few-cycle femtosecond laser pulses,” Phys. Rev. A 88(3), 033415 (2013).
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Figures (6)

Fig. 1
Fig. 1 (a) The electric field of a three-cycle laser pulse with wavelength of 1400nm, peak intensity of 1.7× 10 13 W/cm2 , and CEP of ϕ=0. (b) The corresponding momentum complex-time SPs distributions for the fixed photoelectron energy of 3.4eV. The numbers of several dominant SPs are marked in complex-time plane.
Fig. 2
Fig. 2 The normalized two-dimensional PMD of F- ions in a three-cycle laser pulse with ϕ=0 by using the (a) numerical integration method; (b) saddle-point method including all the SPs;(c) saddle-point method by considering several dominant SPs. The color is plotted on the logarithmic scale. The laser parameters are same as Fig. 1.
Fig. 3
Fig. 3 The normalized two-dimensional PMD contributed from different steps of the detachment process, calculated by considering the saddle points SP3 + SP4, SP4 + SP5, SP3 + SP5, respectively. (a)–(c) represent the PMD formed in whole detachment process, (d)–(f) represent the PMD formed in classical propagation step, (g)–(i) represent the PMD formed in quantum tunneling step. The laser parameters are same as Fig. 1 and the colors of (a)-(f) are plotted on the logarithmic scale.
Fig. 4
Fig. 4 . The normalized PMD for ϕ=0 obtained from coherently adding different saddle points, but without the sub-barrier phase. (a) Considering the saddle points SP3-SP5; (b) considering the saddle points SP3 + SP4;(c) considering the saddle points SP4 + SP5; (d) considering the saddle points SP3 + SP5. The color is plotted on the logarithmic scale.
Fig. 5
Fig. 5 The same as Fig. 1 but for Δφ=0.5π.
Fig. 6
Fig. 6 (a) The normalized two-dimensional PMD of F- ions in a three-cycle laser pulse with ϕ=0.5π by using the numerical integration method; (b) The normalized two-dimensional PMD calculated by considering the saddle points SP4 and SP5 of Fig. 5; (c) two-dimensional PMD formed in classical propagation step by considering the saddle points SP4 + SP5;(d) The two-dimensional PMD formed in quantum tunneling step by considering the saddle points SP4 + SP5. The colors of (a)-(c) are plotted on the logarithmic scale.

Equations (14)

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A p =i + ψ p | H i (t)| ψ lm dt
ψ lm (r)= A r exp(κr) Y lm ( r ^ )
ψ p (r,t)=exp[ i(p+A(t))r i 2 t (p+A(t')) 2 dt' ]
E(t)= E 0 cos 2 ( πt τ )cos( ωt+ϕ ) z ^
A p = i 6 2π A dt exp( i 2 t q 2 dt' +i I p t ) E(t) ×{ q 2 3 q z 2 q 5 arctan( q κ )+ 5 q 2 q z 2 κ+3 q z 2 κ 3 q 4 κ q 2 κ 3 q 4 ( q 2 + κ 2 ) 2 }
A p = (2π) 3/2 A t s (±1) l Y 1m ( q ^ s ) exp(if( t s )) i f '' ( t s )
(p+A( t s )) 2 +2 I p =0
f( t s )= t s [ 1 2 (p+A(t')) 2 + I p ] dt'
f ( t s )=2pE( t s )2A( t s )E( t s )
f( t s )= f sub + f re
Q= 3 P p 3 = | A p | 2
Q sub = | A p ( f sub ) | 2
Q re = | A p ( f re ) | 2
p r = 2(nω U p I p )

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