Abstract

We theoretically investigate the above-threshold ionization of hydrogen atoms driven by few-cycle phase jump laser pulses. By numerically solving the three-dimensional time-dependent Schrödinger equation, we demonstrate that the phase jump plays an important role in the ionization process. The cutoff of the photoelectron energy spectrum can extend to a range of very high energy, and the yield of the photoelectrons can be dramatically enhanced by choosing proper phase jump times. Both the classical simulations and Fourier transform method are used to understand the spectra features found in our investigation.

© 2013 OSA

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  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, 1127–1130 (1979).
    [CrossRef]
  2. P. Kruit, J. Kimman, H. G. Muller, and M. J. Van der Wiel, “Electron spectra from multiphoton ionization of xenon at 1064, 532, and 355 nm,” Phys. Rev. A28, 248–255 (1983).
    [CrossRef]
  3. P. H. Bucksbaum, M. Bashkansky, R. R. Freeman, T. J. McIlrath, and L. F. DiMauro, “Suppression of multiphoton ionization with circularly polarized coherent light,” Phys. Rev. Lett.56, 2590–2593 (1986).
    [CrossRef] [PubMed]
  4. R. R. Freeman, P. H. Bucksbaum, H. Milchberg, S. Darack, D. Schumacher, and M. E. Geusic, “Above-threshold ionization with subpicosecond laser pulses,” Phys. Rev. Lett.59, 1092–1095 (1987).
    [CrossRef] [PubMed]
  5. M. P. de Boer, L. D. Noordam, and H. G. Muller, “High-angular-momentum states as population traps in multi-photon ionization,” Phys. Rev. A47, R45–R48 (1993).
    [CrossRef]
  6. E. Mevel, P. Breger, R. Trainham, G. Petite, P. Agostini, A. Migus, J. P. Chambaret, and A. Antonetti, “Atoms in strong optical fields: evolution from multiphoton to tunnel ionization,” Phys. Rev. Lett.70, 406–409 (1993).
    [CrossRef] [PubMed]
  7. F. Fabre, G. Petite, P. Agostini, and M. Clement, “Multiphoton above-threshold ionisation of xenon at 0.53 and 1.06μm,” J. Phys. B: At. Mol. Phys.15, 1353–1369 (1982).
    [CrossRef]
  8. Y. Gontier and M. Trahin, “Energetic electron generation by multiphoton absorption,” J. Phys. B: At. Mol. Phys.13, 4383–4390 (1980).
    [CrossRef]
  9. B. R. Yang, K. J. Schafer, B. Walker, K. C. Kulander, P. Agostini, and L. F. DiMauro, “Intensity-dependent scattering rings in high order above-threshold ionization,” Phys. Rev. Lett.71, 3770–3773 (1993).
    [CrossRef] [PubMed]
  10. G. G. Paulus, W. Nicklich, and H. Walther, “Investigation of above-threshold ionization with femtosecond pulses: connection between plateau and angular distribution of the photoelectrons,” Europhys. Lett27, 267–272 (1994).
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    [CrossRef] [PubMed]
  13. K. J. Schafer, B. R. Yang, L. F. DiMauro, and K. C. Kulander, “Above threshold ionization beyond the high harmonic cutoff,” Phys. Rev. Lett.70, 1599–1602 (1993).
    [CrossRef] [PubMed]
  14. P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett.71, 1994–1997 (1993).
    [CrossRef] [PubMed]
  15. L. Guo, S. S. Han, and J. Chen, “Time-energy analysis of above-threshold ionization,” Opt. Express18, 1240–1248 (2010).
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  16. R. Panfili, “Low-frequency above-threshold ionization of a model two-electron atom,” Opt. Express8, 425–430 (2001).
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    [CrossRef] [PubMed]
  18. J. Javanainen, J. H. Eberly, and Q. C. Su, “Numerical simulations of multiphoton ionization and above-threshold electron spectra,” Phys. Rev. A38, 3430–3446 (1988).
    [CrossRef] [PubMed]
  19. M. J. Nandor, M. A. Walker, L. D. Van Woerkom, and H. G. Muller, “Detailed comparison of above-threshold-ionization spectra from accurate numerical integrations and high-resolution measurements,” Phys. Rev. A60, R1771–R1774 (1999).
    [CrossRef]
  20. G. G. Paulus, W. Becker, W. Nicklich, and H. Walther, “Rescattering effects in above-threshold ionization: a classical model,” J. Phys. B27L703–L708 (1994).
    [CrossRef]
  21. D. B. Miloševic, G. G. Paulus, and W. Becker, “High-order above-threshold ionization with few-cycle pulse: a meter of the absolute phase,” Opt. Express11, 1418–1429 (2003).
    [CrossRef]
  22. T. Nakajima, “Above-threshold ionization by chirped laser pulses,” Phys. Rev. A75, 053409 (2007).
    [CrossRef]
  23. Y. Xiang, Y. P. Niu, and S. Q. Gong, “Above-threshold ionization by few-cycle nonlinear chirped pulses,” Phys. Rev. A80, 023423 (2009).
    [CrossRef]
  24. C. I. Blaga, F. Catoire, P. Colosimo, G. G. Paulus, H. G. Muller, P. Agostini, and L. F. DiMauro, ”Strong-field photoionization revisited,” Nat. Phys5, 335 (2009).
    [CrossRef]
  25. W. Quan, Z. Lin, M. Wu, H. Kang, H. Liu, X. Liu, J. Chen, J. Liu, X. T. He, S. G. Chen, H. Xiong, L. Guo, H. Xu, Y. Fu, Y. Cheng, and Z. Z. Xu, “Classical sspects in above-threshold ionization with a midinfrared strong laser field,” Phys. Rev. Lett.103, 093001 (2009).
    [CrossRef]
  26. C. P. Liu and K. Z. Hatsagortsyan, “Origin of unexpected low energy structure in photoelectron spectra induced by midinfrared strong laser fields,” Phys. Rev. Lett.105, 113003 (2010).
    [CrossRef] [PubMed]
  27. C. P. Liu and K. Z. Hatsagortsyan, “Coulomb focusing in above-threshold ionization in elliptically polarized midinfrared strong laser fields,” Phys. Rev. A85, 023413 (2012).
    [CrossRef]
  28. S. Kim, J. Jin, Y.-J Kim, I.-Y. Park, Y. Kim, and S.-W. Kim, “High-harmonic generation by resonant plasmon field enhancement,” Nature (London)453, 757–760 (2008).
    [CrossRef]
  29. S. Zherebtsov, T. Fennel, J. Plenge, E. Antonsson, I. Znakovskaya, A. Wirth, O. Herrwerth, F. Sümann, C. Peltz, I. Ahmad, S. A. Trushin, V. Pervak, Stefan Karsch, M. J. J. Vrakking, B. Langer, C. Graf, M. I. Stockman, F. Krausz, E. Rühl, and M. F. Kling, “Controlled near-field enhanced electron acceleration from dielectric nanospheres with intense few-cycle laser fields,” Nat. Phys7, 656 (2011).
    [CrossRef]
  30. M. F. Ciappina, J. Biegert, R. Quidant, and M. Lewenstein, “High-order-harmonic generation from inhomogeneous fields,” Phys. Rev. A85, 033828 (2012).
    [CrossRef]
  31. M. F. Ciappina, J. A. Pérez-Hernández, T. Shaaran, J. Biegert, R. Quidant, and M. Lewenstein, “Above-threshold ionization by few-cycle spatially inhomogeneous fields,” Phys. Rev. A86, 023413 (2012).
    [CrossRef]
  32. T. Shaaran, M. F. Ciappina, and M. Lewenstein, “Quantum-orbit analysis of high-order-harmonic generation by resonant plasmon field enhancement,” Phys. Rev. A86, 023408 (2012).
    [CrossRef]
  33. T. Shaaran, M. F. Ciappina, R. Guichard, J. A. Pérez-Hernández, L. Roso, M. Arnold, T. Siegel, A. Zaïr, and M. Lewenstein, “High-order-harmonic generation by enhanced plasmonic near-fields in metal nanoparticles,” Phys. Rev. A87, 041402 (2013).
    [CrossRef]
  34. M. F. Ciappina, Srdjan S. Aćimović, T. Shaaran, J. Biegert, R. Quidant, and M. Lewenstein, “Enhancement of high harmonic generation by confining electron motion in plasmonic nanostrutures,” Opt. Express20, 26261–26274 (2012).
    [CrossRef] [PubMed]
  35. B. T. Torosov and N. V. Vitanov, “Coherent control of a quantum transition by a phase jump,” Phys. Rev. A76(5), 053404 (2007).
    [CrossRef]
  36. J. Qian, Y. Qian, M. Ke, X. L. Feng, C. H. Oh, and Y. Z. Wang, “Breakdown of the dipole blockade with a zero-area phase-jump pulse,” Phys. Rev. A80, 053413 (2009).
    [CrossRef]
  37. P. K. Jha, H. Eleuch, and Y. V. Rostovtsev, “Coherent control of atomic excitation using off-resonant strong few-cycle pulses,” Phys. Rev. A82, 045805 (2010).
    [CrossRef]
  38. P. W. Cleary, T. W. Hijmans, and J. T. M. Walraven, “Manipulation of a Bose-Einstein condensate by a time-averaged orbiting potential using phase jumps of the rotating field,” Phys. Rev. A82, 063635 (2010).
    [CrossRef]
  39. Y. Xiang, Y. P. Niu, H. M. Feng, Y. H. Qi, and S. Q. Gong, “Coherent control of high-order harmonic generation by phase jump pulses,” Opt. Express20(17),19289–19296 (2012).
    [CrossRef] [PubMed]
  40. A. Sanpera, P. Jönsson, J. B. Watson, and K. Burnett, “Harmonic generation beyond the saturation intensity in helium,” Phys. Rev. A51, 3148–3153 (1995).
    [CrossRef] [PubMed]
  41. M. Gavrila, Atoms in Intense Laser Fields (Academic, 1992).
  42. K. J. Schafer and K. C. Kulander, “Energy analysis of time-dependent wave functions: application to above-threshold ionization,” Phys. Rev. A42, 5794–5797 (1990).
    [CrossRef] [PubMed]
  43. K. J. Schafer, “The energy analysis of time-dependent numerical wave functions,” Comput. Phys. Commun63, 427–434 (1991).
    [CrossRef]
  44. C. P. Liu, T. Nakajima, T. Sakka, and H. Ohgaki, “Above-threshold ionization and high-order harmonic generation by mid-infrared and far-infrared laser pulses,” Phys. Rev. A77, 043411 (2008).
    [CrossRef]
  45. Y. Xiang, Y. P. Niu, and S. Q. Gong, “Control of the high-order harmonics cutoff through the combination of a chirped laser and static electric field,” Phys. Rev. A79, 053419 (2009).
    [CrossRef]
  46. D. G. Arbó, E. Persson, and J. Burgdörfer, “Time double-slit interferences in strong-field tunneling ionization,” Phys. Rev. A74, 063407 (2006).
    [CrossRef]
  47. C. P. Liu and T. Nakajima, “Anomalous ionization efficiency by few-cycle pulses in the multiphoton ionization regime,” Phys. Rev. A76, 023416 (2007).
    [CrossRef]
  48. J. L. Krause, K. J. Schafer, and K. C. Kulander, “Calculation of photoemission from atoms subject to intense laser fields,” Phys. Rev. A45, 4998–5010 (1992).
    [CrossRef] [PubMed]

2013

T. Shaaran, M. F. Ciappina, R. Guichard, J. A. Pérez-Hernández, L. Roso, M. Arnold, T. Siegel, A. Zaïr, and M. Lewenstein, “High-order-harmonic generation by enhanced plasmonic near-fields in metal nanoparticles,” Phys. Rev. A87, 041402 (2013).
[CrossRef]

2012

M. F. Ciappina, J. Biegert, R. Quidant, and M. Lewenstein, “High-order-harmonic generation from inhomogeneous fields,” Phys. Rev. A85, 033828 (2012).
[CrossRef]

M. F. Ciappina, J. A. Pérez-Hernández, T. Shaaran, J. Biegert, R. Quidant, and M. Lewenstein, “Above-threshold ionization by few-cycle spatially inhomogeneous fields,” Phys. Rev. A86, 023413 (2012).
[CrossRef]

T. Shaaran, M. F. Ciappina, and M. Lewenstein, “Quantum-orbit analysis of high-order-harmonic generation by resonant plasmon field enhancement,” Phys. Rev. A86, 023408 (2012).
[CrossRef]

C. P. Liu and K. Z. Hatsagortsyan, “Coulomb focusing in above-threshold ionization in elliptically polarized midinfrared strong laser fields,” Phys. Rev. A85, 023413 (2012).
[CrossRef]

Y. Xiang, Y. P. Niu, H. M. Feng, Y. H. Qi, and S. Q. Gong, “Coherent control of high-order harmonic generation by phase jump pulses,” Opt. Express20(17),19289–19296 (2012).
[CrossRef] [PubMed]

M. F. Ciappina, Srdjan S. Aćimović, T. Shaaran, J. Biegert, R. Quidant, and M. Lewenstein, “Enhancement of high harmonic generation by confining electron motion in plasmonic nanostrutures,” Opt. Express20, 26261–26274 (2012).
[CrossRef] [PubMed]

2011

S. Zherebtsov, T. Fennel, J. Plenge, E. Antonsson, I. Znakovskaya, A. Wirth, O. Herrwerth, F. Sümann, C. Peltz, I. Ahmad, S. A. Trushin, V. Pervak, Stefan Karsch, M. J. J. Vrakking, B. Langer, C. Graf, M. I. Stockman, F. Krausz, E. Rühl, and M. F. Kling, “Controlled near-field enhanced electron acceleration from dielectric nanospheres with intense few-cycle laser fields,” Nat. Phys7, 656 (2011).
[CrossRef]

2010

C. P. Liu and K. Z. Hatsagortsyan, “Origin of unexpected low energy structure in photoelectron spectra induced by midinfrared strong laser fields,” Phys. Rev. Lett.105, 113003 (2010).
[CrossRef] [PubMed]

P. K. Jha, H. Eleuch, and Y. V. Rostovtsev, “Coherent control of atomic excitation using off-resonant strong few-cycle pulses,” Phys. Rev. A82, 045805 (2010).
[CrossRef]

P. W. Cleary, T. W. Hijmans, and J. T. M. Walraven, “Manipulation of a Bose-Einstein condensate by a time-averaged orbiting potential using phase jumps of the rotating field,” Phys. Rev. A82, 063635 (2010).
[CrossRef]

L. Guo, S. S. Han, and J. Chen, “Time-energy analysis of above-threshold ionization,” Opt. Express18, 1240–1248 (2010).
[CrossRef] [PubMed]

2009

Y. Xiang, Y. P. Niu, and S. Q. Gong, “Control of the high-order harmonics cutoff through the combination of a chirped laser and static electric field,” Phys. Rev. A79, 053419 (2009).
[CrossRef]

J. Qian, Y. Qian, M. Ke, X. L. Feng, C. H. Oh, and Y. Z. Wang, “Breakdown of the dipole blockade with a zero-area phase-jump pulse,” Phys. Rev. A80, 053413 (2009).
[CrossRef]

Y. Xiang, Y. P. Niu, and S. Q. Gong, “Above-threshold ionization by few-cycle nonlinear chirped pulses,” Phys. Rev. A80, 023423 (2009).
[CrossRef]

C. I. Blaga, F. Catoire, P. Colosimo, G. G. Paulus, H. G. Muller, P. Agostini, and L. F. DiMauro, ”Strong-field photoionization revisited,” Nat. Phys5, 335 (2009).
[CrossRef]

W. Quan, Z. Lin, M. Wu, H. Kang, H. Liu, X. Liu, J. Chen, J. Liu, X. T. He, S. G. Chen, H. Xiong, L. Guo, H. Xu, Y. Fu, Y. Cheng, and Z. Z. Xu, “Classical sspects in above-threshold ionization with a midinfrared strong laser field,” Phys. Rev. Lett.103, 093001 (2009).
[CrossRef]

2008

S. Kim, J. Jin, Y.-J Kim, I.-Y. Park, Y. Kim, and S.-W. Kim, “High-harmonic generation by resonant plasmon field enhancement,” Nature (London)453, 757–760 (2008).
[CrossRef]

C. P. Liu, T. Nakajima, T. Sakka, and H. Ohgaki, “Above-threshold ionization and high-order harmonic generation by mid-infrared and far-infrared laser pulses,” Phys. Rev. A77, 043411 (2008).
[CrossRef]

2007

C. P. Liu and T. Nakajima, “Anomalous ionization efficiency by few-cycle pulses in the multiphoton ionization regime,” Phys. Rev. A76, 023416 (2007).
[CrossRef]

B. T. Torosov and N. V. Vitanov, “Coherent control of a quantum transition by a phase jump,” Phys. Rev. A76(5), 053404 (2007).
[CrossRef]

T. Nakajima, “Above-threshold ionization by chirped laser pulses,” Phys. Rev. A75, 053409 (2007).
[CrossRef]

2006

D. G. Arbó, E. Persson, and J. Burgdörfer, “Time double-slit interferences in strong-field tunneling ionization,” Phys. Rev. A74, 063407 (2006).
[CrossRef]

2003

2001

1999

M. J. Nandor, M. A. Walker, L. D. Van Woerkom, and H. G. Muller, “Detailed comparison of above-threshold-ionization spectra from accurate numerical integrations and high-resolution measurements,” Phys. Rev. A60, R1771–R1774 (1999).
[CrossRef]

1995

A. Sanpera, P. Jönsson, J. B. Watson, and K. Burnett, “Harmonic generation beyond the saturation intensity in helium,” Phys. Rev. A51, 3148–3153 (1995).
[CrossRef] [PubMed]

M. Lewenstein, K. C. Kulander, K. J. Schafer, and P. H. Bucksbaum, “Rings in above-threshold ionization: a quasiclassical analysis,” Phys. Rev. A51, 1495–1507 (1995).
[CrossRef] [PubMed]

1994

G. G. Paulus, W. Becker, W. Nicklich, and H. Walther, “Rescattering effects in above-threshold ionization: a classical model,” J. Phys. B27L703–L708 (1994).
[CrossRef]

G. G. Paulus, W. Nicklich, and H. Walther, “Investigation of above-threshold ionization with femtosecond pulses: connection between plateau and angular distribution of the photoelectrons,” Europhys. Lett27, 267–272 (1994).
[CrossRef]

1993

K. J. Schafer, B. R. Yang, L. F. DiMauro, and K. C. Kulander, “Above threshold ionization beyond the high harmonic cutoff,” Phys. Rev. Lett.70, 1599–1602 (1993).
[CrossRef] [PubMed]

P. B. Corkum, “Plasma perspective on strong field multiphoton ionization,” Phys. Rev. Lett.71, 1994–1997 (1993).
[CrossRef] [PubMed]

B. R. Yang, K. J. Schafer, B. Walker, K. C. Kulander, P. Agostini, and L. F. DiMauro, “Intensity-dependent scattering rings in high order above-threshold ionization,” Phys. Rev. Lett.71, 3770–3773 (1993).
[CrossRef] [PubMed]

M. P. de Boer, L. D. Noordam, and H. G. Muller, “High-angular-momentum states as population traps in multi-photon ionization,” Phys. Rev. A47, R45–R48 (1993).
[CrossRef]

E. Mevel, P. Breger, R. Trainham, G. Petite, P. Agostini, A. Migus, J. P. Chambaret, and A. Antonetti, “Atoms in strong optical fields: evolution from multiphoton to tunnel ionization,” Phys. Rev. Lett.70, 406–409 (1993).
[CrossRef] [PubMed]

1992

J. L. Krause, K. J. Schafer, and K. C. Kulander, “Calculation of photoemission from atoms subject to intense laser fields,” Phys. Rev. A45, 4998–5010 (1992).
[CrossRef] [PubMed]

1991

K. J. Schafer, “The energy analysis of time-dependent numerical wave functions,” Comput. Phys. Commun63, 427–434 (1991).
[CrossRef]

1990

K. J. Schafer and K. C. Kulander, “Energy analysis of time-dependent wave functions: application to above-threshold ionization,” Phys. Rev. A42, 5794–5797 (1990).
[CrossRef] [PubMed]

1988

J. Javanainen, J. H. Eberly, and Q. C. Su, “Numerical simulations of multiphoton ionization and above-threshold electron spectra,” Phys. Rev. A38, 3430–3446 (1988).
[CrossRef] [PubMed]

T. F. Gallagher, “Above-threshold ionization in low-frequency limit,” Phys. Rev. Lett.61, 2304–2307 (1988).
[CrossRef] [PubMed]

1987

R. R. Freeman, P. H. Bucksbaum, H. Milchberg, S. Darack, D. Schumacher, and M. E. Geusic, “Above-threshold ionization with subpicosecond laser pulses,” Phys. Rev. Lett.59, 1092–1095 (1987).
[CrossRef] [PubMed]

1986

P. H. Bucksbaum, M. Bashkansky, R. R. Freeman, T. J. McIlrath, and L. F. DiMauro, “Suppression of multiphoton ionization with circularly polarized coherent light,” Phys. Rev. Lett.56, 2590–2593 (1986).
[CrossRef] [PubMed]

1983

P. Kruit, J. Kimman, H. G. Muller, and M. J. Van der Wiel, “Electron spectra from multiphoton ionization of xenon at 1064, 532, and 355 nm,” Phys. Rev. A28, 248–255 (1983).
[CrossRef]

1982

F. Fabre, G. Petite, P. Agostini, and M. Clement, “Multiphoton above-threshold ionisation of xenon at 0.53 and 1.06μm,” J. Phys. B: At. Mol. Phys.15, 1353–1369 (1982).
[CrossRef]

1980

Y. Gontier and M. Trahin, “Energetic electron generation by multiphoton absorption,” J. Phys. B: At. Mol. Phys.13, 4383–4390 (1980).
[CrossRef]

1979

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, 1127–1130 (1979).
[CrossRef]

Acimovic, Srdjan S.

Agostini, P.

C. I. Blaga, F. Catoire, P. Colosimo, G. G. Paulus, H. G. Muller, P. Agostini, and L. F. DiMauro, ”Strong-field photoionization revisited,” Nat. Phys5, 335 (2009).
[CrossRef]

E. Mevel, P. Breger, R. Trainham, G. Petite, P. Agostini, A. Migus, J. P. Chambaret, and A. Antonetti, “Atoms in strong optical fields: evolution from multiphoton to tunnel ionization,” Phys. Rev. Lett.70, 406–409 (1993).
[CrossRef] [PubMed]

B. R. Yang, K. J. Schafer, B. Walker, K. C. Kulander, P. Agostini, and L. F. DiMauro, “Intensity-dependent scattering rings in high order above-threshold ionization,” Phys. Rev. Lett.71, 3770–3773 (1993).
[CrossRef] [PubMed]

F. Fabre, G. Petite, P. Agostini, and M. Clement, “Multiphoton above-threshold ionisation of xenon at 0.53 and 1.06μm,” J. Phys. B: At. Mol. Phys.15, 1353–1369 (1982).
[CrossRef]

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, 1127–1130 (1979).
[CrossRef]

Ahmad, I.

S. Zherebtsov, T. Fennel, J. Plenge, E. Antonsson, I. Znakovskaya, A. Wirth, O. Herrwerth, F. Sümann, C. Peltz, I. Ahmad, S. A. Trushin, V. Pervak, Stefan Karsch, M. J. J. Vrakking, B. Langer, C. Graf, M. I. Stockman, F. Krausz, E. Rühl, and M. F. Kling, “Controlled near-field enhanced electron acceleration from dielectric nanospheres with intense few-cycle laser fields,” Nat. Phys7, 656 (2011).
[CrossRef]

Antonetti, A.

E. Mevel, P. Breger, R. Trainham, G. Petite, P. Agostini, A. Migus, J. P. Chambaret, and A. Antonetti, “Atoms in strong optical fields: evolution from multiphoton to tunnel ionization,” Phys. Rev. Lett.70, 406–409 (1993).
[CrossRef] [PubMed]

Antonsson, E.

S. Zherebtsov, T. Fennel, J. Plenge, E. Antonsson, I. Znakovskaya, A. Wirth, O. Herrwerth, F. Sümann, C. Peltz, I. Ahmad, S. A. Trushin, V. Pervak, Stefan Karsch, M. J. J. Vrakking, B. Langer, C. Graf, M. I. Stockman, F. Krausz, E. Rühl, and M. F. Kling, “Controlled near-field enhanced electron acceleration from dielectric nanospheres with intense few-cycle laser fields,” Nat. Phys7, 656 (2011).
[CrossRef]

Arbó, D. G.

D. G. Arbó, E. Persson, and J. Burgdörfer, “Time double-slit interferences in strong-field tunneling ionization,” Phys. Rev. A74, 063407 (2006).
[CrossRef]

Arnold, M.

T. Shaaran, M. F. Ciappina, R. Guichard, J. A. Pérez-Hernández, L. Roso, M. Arnold, T. Siegel, A. Zaïr, and M. Lewenstein, “High-order-harmonic generation by enhanced plasmonic near-fields in metal nanoparticles,” Phys. Rev. A87, 041402 (2013).
[CrossRef]

Bashkansky, M.

P. H. Bucksbaum, M. Bashkansky, R. R. Freeman, T. J. McIlrath, and L. F. DiMauro, “Suppression of multiphoton ionization with circularly polarized coherent light,” Phys. Rev. Lett.56, 2590–2593 (1986).
[CrossRef] [PubMed]

Becker, W.

D. B. Miloševic, G. G. Paulus, and W. Becker, “High-order above-threshold ionization with few-cycle pulse: a meter of the absolute phase,” Opt. Express11, 1418–1429 (2003).
[CrossRef]

G. G. Paulus, W. Becker, W. Nicklich, and H. Walther, “Rescattering effects in above-threshold ionization: a classical model,” J. Phys. B27L703–L708 (1994).
[CrossRef]

Biegert, J.

M. F. Ciappina, Srdjan S. Aćimović, T. Shaaran, J. Biegert, R. Quidant, and M. Lewenstein, “Enhancement of high harmonic generation by confining electron motion in plasmonic nanostrutures,” Opt. Express20, 26261–26274 (2012).
[CrossRef] [PubMed]

M. F. Ciappina, J. Biegert, R. Quidant, and M. Lewenstein, “High-order-harmonic generation from inhomogeneous fields,” Phys. Rev. A85, 033828 (2012).
[CrossRef]

M. F. Ciappina, J. A. Pérez-Hernández, T. Shaaran, J. Biegert, R. Quidant, and M. Lewenstein, “Above-threshold ionization by few-cycle spatially inhomogeneous fields,” Phys. Rev. A86, 023413 (2012).
[CrossRef]

Blaga, C. I.

C. I. Blaga, F. Catoire, P. Colosimo, G. G. Paulus, H. G. Muller, P. Agostini, and L. F. DiMauro, ”Strong-field photoionization revisited,” Nat. Phys5, 335 (2009).
[CrossRef]

Breger, P.

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T. Shaaran, M. F. Ciappina, R. Guichard, J. A. Pérez-Hernández, L. Roso, M. Arnold, T. Siegel, A. Zaïr, and M. Lewenstein, “High-order-harmonic generation by enhanced plasmonic near-fields in metal nanoparticles,” Phys. Rev. A87, 041402 (2013).
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M. F. Ciappina, J. Biegert, R. Quidant, and M. Lewenstein, “High-order-harmonic generation from inhomogeneous fields,” Phys. Rev. A85, 033828 (2012).
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M. F. Ciappina, J. A. Pérez-Hernández, T. Shaaran, J. Biegert, R. Quidant, and M. Lewenstein, “Above-threshold ionization by few-cycle spatially inhomogeneous fields,” Phys. Rev. A86, 023413 (2012).
[CrossRef]

M. F. Ciappina, Srdjan S. Aćimović, T. Shaaran, J. Biegert, R. Quidant, and M. Lewenstein, “Enhancement of high harmonic generation by confining electron motion in plasmonic nanostrutures,” Opt. Express20, 26261–26274 (2012).
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P. H. Bucksbaum, M. Bashkansky, R. R. Freeman, T. J. McIlrath, and L. F. DiMauro, “Suppression of multiphoton ionization with circularly polarized coherent light,” Phys. Rev. Lett.56, 2590–2593 (1986).
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E. Mevel, P. Breger, R. Trainham, G. Petite, P. Agostini, A. Migus, J. P. Chambaret, and A. Antonetti, “Atoms in strong optical fields: evolution from multiphoton to tunnel ionization,” Phys. Rev. Lett.70, 406–409 (1993).
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E. Mevel, P. Breger, R. Trainham, G. Petite, P. Agostini, A. Migus, J. P. Chambaret, and A. Antonetti, “Atoms in strong optical fields: evolution from multiphoton to tunnel ionization,” Phys. Rev. Lett.70, 406–409 (1993).
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Figures (3)

Fig. 1
Fig. 1

ATI spectra driven by laser pulses with different jump times. The laser pulse parameters are λ = 800nm, I = 5 × 1013W/cm2, τ = 5fs.

Fig. 2
Fig. 2

The classical results for the kinetic energy of photoelectron. The laser parameters are the same as in Fig. 1. The blue solid line is the laser field, the red triangles presents RE-ITDKE (the rescattered electron’s ionization-time-dependent kinetic energy), the purple stars, RE-BTDKE (the rescattered electron’s backscattering-time-dependent kinetic energy), the green circles, DE-ITDKE (the direct electron’s ionization-time-dependent kinetic energy).

Fig. 3
Fig. 3

The frequency spectra of the laser fields with different phase jump time. The black solid line corresponds to the case without phase jump, and the red dashed line, t0 = ±0.75T, the green dotted line, t0 = ±0.50T, the blue dash-dotted line, t0 = 0.25T.

Tables (2)

Tables Icon

Table 1 The cutoff electrons’ velocity at backscattering time, the impulse obtained from the backscattering time to the laser pulse’s termination and their final velocity at the terminal time.

Tables Icon

Table 2 Ionization probabilities calculated for t0 = −0.75T and t0 = −0.25T with the same laser intensity of I = 5×1013 W/cm2. Pcoul and Psr are the ionization probability calculated for the Coulomb and short-range potential we used.

Equations (4)

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i ψ ( r , t ) t = [ 1 2 2 + V ( r ) r E ( t ) ] ψ ( r , t ) ,
E ( t ) = { F f ( t ) cos ( ω t + φ ) if t < t 0 , F f ( t ) cos ( ω t + φ + ϕ ) if t t 0 ,
E d = [ A ( t b ) A ( t f ) ] 2 ,
E r = [ A ( t b ) + A ( t f ) 2 A ( t r ) ] 2 2 .

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