Physics of Wave Phenomena

, Volume 26, Issue 1, pp 36–40 | Cite as

Emission Spectrum of an Atom in the Field of Intense Ultrashort Laser Pulse

  • A. I. Magunov
Ultrashort Laser Pulses


The spectral probability densities of the spontaneous emission and the generation of harmonics by a hydrogen atom in the field of intense laser pulse are calculated. A previously proposed approach is used, which is based on the Kramers−Henneberger transformation for the wave function of time-dependent Schrödinger equation and expansion in the unperturbed atomic eigenstates and the photon states. The spectral range up to the tenth harmonic is investigated with the laser pulse duration ranging from 6 to 12 optical cycles and the peak intensity varied from 1 to 10 TWcm−2.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    L. V. Keldysh, “Ionization in the Field of a Strong Electromagnetic Wave,” Sov. Phys. -JETP. 20(5), 1307 (1965).MathSciNetGoogle Scholar
  2. 2.
    M. Lewenstein, Ph. Balcou, M. Yu. Ivanov, A. L’Huillier, and P. B. Corkum, “Theory of High-Harmonic Generation by Low-Frequency Laser Fields,” Phys. Rev. A. 49, 2117 (1994).ADSCrossRefGoogle Scholar
  3. 3.
    W. Becker, S. Long, and J. K. McIver, “ModelingHarmonic Generation by a Zero-Range Potential,” Phys. Rev. A. 50, 1540 (1994).ADSCrossRefGoogle Scholar
  4. 4.
    E. A. Volkova, V. V. Gridchin, A. M. Popov, and O. V. Tikhonova, “Tunneling Ionization of a Hydrogen Atom in Short and Ultrashort Laser Pulses,” JETP. 102(1), 40 (2006).ADSCrossRefGoogle Scholar
  5. 5.
    V. V. Strelkov, M. A. Khokhlova, A. A. Gonoskov, I. A. Gonoskov, and M. Yu. Ryabikin, “High-Order Harmonic Generation by Atoms in an Elliptically Polarized Laser Field: Harmonic Polarization Properties and Laser Threshold Ellipticity,” Phys. Rev. A. 86, 013404 (2012).ADSCrossRefGoogle Scholar
  6. 6.
    M. A. Khokhlova and V. V. Strelkov, “Phase Characteristics of High-Order Harmonics in the Cut-Off Region,” Phys. Wave Phenom. 24(1), 22 (2016) [DOI: 10. 3103/S1541308X16010052].ADSCrossRefGoogle Scholar
  7. 7.
    V. V. Strelkov, V. T. Platonenko, A. F. Sterzhantov, and M. Yu. Ryabikin, “Attosecond Electromagnetic Pulses: Generation, Measurement, and Application. Generation of High-Order Harmonics of Intense Laser Field for Attosecond Pulse Production,” Phys. Usp. 59(5), 425 (2016).ADSCrossRefGoogle Scholar
  8. 8.
    M. L. Pons, R. Taieb, and A. Maquet, “Importance of Population Transfers in High-Order Harmonic-Generation Spectra,” Phys. Rev. A. 54, 3634 (1996).ADSCrossRefGoogle Scholar
  9. 9.
    R. A. Ganeev, “High Order Harmonics Generation in Laser Surface Ablation: Current Trends,” Phys. Usp. 56, 772 (2013).ADSCrossRefGoogle Scholar
  10. 10.
    M. A. Fareed, V. V. Strelkov, N. Thiré, S. Mondal, B. E. Schmidt, F. Légaré, and T. Ozaki, “High-Order Harmonic Generation from the Dressed Autoionizing States,” Nature Commun. 8, 16061 (2017).ADSCrossRefGoogle Scholar
  11. 11.
    R. A. Ganeev, T. Witting, C. Hutchison, V. V. Strelkov, F. Frank, M. Castillejo, I. Lopez-Quintas, Z. Abdelrahman, J. W. G. Tisch, and J. P. Marangos, “Comparative Studies of Resonance Enhancement of Harmonic Radiation in Indium Plasma Using Multicycle and Few-Cycle Pulses,” Phys. Rev. A. 88, 033838 (2013).ADSCrossRefGoogle Scholar
  12. 12.
    V. V. Strelkov, M. A. Khokhlova, and N. Yu. Shubin, “High-Order Harmonic Generation and Fano Resonances,” Phys. Rev. A. 89, 053833 (2014).ADSCrossRefGoogle Scholar
  13. 13.
    E. Fiordilino, F. Morales, G. Castiglia, P. P. Corso, R. Daniele, and V. V. Strelkov, “High-Order Harmonic Generation via Bound-Bound Transitions in Elliptically Polarized Laser Field,” JOSA B. 34(1), 2673 (2017).ADSCrossRefGoogle Scholar
  14. 14.
    S. Bengtsson, E. W. Larsen, D. Kroon, S. Camp, M. Miranda, C. L. Arnold, A. L’Huillier, K. J. Schafer, M. B. Gaarde, L. Rippe, and J. Mauritsson, “Space-Time Control of Free Induction Decay in the Extreme Ultraviolet,” Nat. Photon. 11, 252 (2017).ADSCrossRefGoogle Scholar
  15. 15.
    A. V. Bogatskaya, E. A. Volkova, V. Yu. Kharin, and A. M. Popov, “Polarization Response in Extreme Nonlinear Optics: When Can the Semiclassical Approach Be Used?” Laser Phys. Lett. 13, 045301 (2016).ADSCrossRefGoogle Scholar
  16. 16.
    A. V. Bogatskaya, E. A. Volkova, and A. M. Popov, “Spontaneous Emission from the Atom Stabilized by a Strong High-Frequency Laser Field,” Laser Phys. 27, 095302 (2017).ADSCrossRefGoogle Scholar
  17. 17.
    A. V. Bogatskaya, E. A. Volkova, and A. M. Popov, “Spontaneous Emission of Atoms in a Strong Laser Field,” JETP. 125(4), 587 (2017).ADSCrossRefGoogle Scholar
  18. 18.
    A. I. Magunov and V. V. Strelkov, “S-Matrix Approach to the Problem of High-Harmonic Generation in the Field of Intense Laser Wave,” Phys. Wave Phenom. 25(1), 24 (2017) [DOI: 10. 3103/S1541308X17010046].ADSCrossRefGoogle Scholar
  19. 19.
    H. A. Kramers, Collected Scientific Papers (North-Holland, Amsterdam, 1956), p. 866.Google Scholar
  20. 20.
    W. Henneberger, “Perturbation Method for Atoms in Intense Light Beams,” Phys. Rev. Lett. 21(12), 838 (1968).ADSCrossRefGoogle Scholar

Copyright information

© Allerton Press, Inc. 2018

Authors and Affiliations

  1. 1.Prokhorov General Physics InstituteRussian Academy of SciencesMoscowRussia
  2. 2.National Research Institute for Physical-Technical and Radiotechnical MeasurementsMendeleevo, Moscow RegionRussia

Personalised recommendations