Relativistic phase effect in modeling interactions between ultraintense laser beams and electrons plasma

  • Alexandru Popa
  • Viorica StancalieEmail author
Regular Article
Part of the following topical collections:
  1. Topical Issue: Relativistic Laser Plasma Interactions


In a series of previous papers we proved an accurate connection between quantum and classical equations in the case of electrodynamic systems. We have used this connection to elaborate simplified models for systems composed of very intense laser beams and electrons or atoms. These models are in good agreement with numerous experimental data from literature. In this paper we develop the above approach for the new field of interactions between ultraintense laser beams, having intensities in the range 1018 − 1022 W/cm2, and electron plasmas. We show that in this case new effects take place, such as the fact that the variation of the phase of the field at the point where the electron is situated, decreases when the intensity of the field increases, due to a strong relativistic behavior. This effect leads to an aperiodic behavior of the radiations generated by above interactions, and to a possible new method for solitary waves generation.

Graphical abstract


  1. 1.
    G.A. Mourou, T. Tajima, S.V. Bulanov, Rev. Mod. Phys. 78, 309 (2006)ADSCrossRefGoogle Scholar
  2. 2.
    P. Sprangle, E. Esarey, A. Ting, G. Joyce, Appl. Phys. Lett. 53, 2146 (1988)ADSCrossRefGoogle Scholar
  3. 3.
    J. Faure, C. Rechatin, A. Norlin, A. Lifschitz, Y. Glinek, V. Malka, Nature 444, 737 (2006)ADSCrossRefGoogle Scholar
  4. 4.
    A.B. Borisov et al., Phys. Rev. A 45, 5830 (1992)ADSCrossRefGoogle Scholar
  5. 5.
    B. Shen, J. Meyer-ter-Vehn, Phys. Rev. E 65, 016405 (2001)ADSCrossRefGoogle Scholar
  6. 6.
    J.G. Eden, Prog. Quant. Electron. 28, 197 (2004)ADSCrossRefGoogle Scholar
  7. 7.
    A. Mihailescu, V. Stancalie, V. Pais, IOP J. Phys. Conf. Ser. 508, 012019 (2014)CrossRefGoogle Scholar
  8. 8.
    C. Iorga, V. Stancalie, Can J. Phys. 93, 1413 (2015)ADSCrossRefGoogle Scholar
  9. 9.
    V. Stancalie, Phys. Plasmas 12, 100705 (2005)ADSCrossRefGoogle Scholar
  10. 10.
    V. Stancalie, Eur. Phys. J. D 67, 223 (2013)ADSCrossRefGoogle Scholar
  11. 11.
    V. Stancalie, Eur. Phys. J. D 68, 349 (2014)ADSCrossRefGoogle Scholar
  12. 12.
    V. Stancalie, AIP Adv. 5, 077186 (2015)ADSCrossRefGoogle Scholar
  13. 13.
    P.G. Burke, P. Francken, C.J. Joachain, Europhys. Lett. 13, 617 (1990)ADSCrossRefGoogle Scholar
  14. 14.
    A. Popa, Phys. Rev. A 84, 023824 (2011)ADSCrossRefGoogle Scholar
  15. 15.
    A. Popa, Eur. Phys. J. D 69, 112, 2015ADSCrossRefGoogle Scholar
  16. 16.
    F.S. Crawford, Waves, Berkeley Physics Course, Vol. 3, (John Wiley, New York, 1999)Google Scholar
  17. 17.
    A. Zhidkov, J. Koga, A. Sasaki, M. Uesaka, Phys. Rev. Lett. 88, 185002 (2002)ADSCrossRefGoogle Scholar
  18. 18.
    C. Bamber et al., Phys. Rev. D 60, 092004 (1999)ADSCrossRefGoogle Scholar
  19. 19.
    L.D. Landau, E.M. Lifschitz, The Classical Theory of Fields (Pergamon Press, London, 1959)Google Scholar
  20. 20.
    J.D. Jackson, Classical Electrodynamics (John Wiley, New York, 1999)Google Scholar
  21. 21.
    A. Popa, Theory of Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamic Systems (Elsevier-Academic Press, Amsterdam, Boston, 2014)Google Scholar
  22. 22.
    A. Popa, Applications of Quantum and Classical Connections in Modeling Atomic, Molecular and Electrodynamic Systems (Elsevier-Academic Press, Amsterdam, Boston, 2014)Google Scholar
  23. 23.
    A. Popa, Laser Part. Beams 32, 477 (2014)ADSCrossRefGoogle Scholar
  24. 24.
    A. Popa, IEEE Trans. Plasma Sci. 41, 2246 (2013)ADSCrossRefGoogle Scholar
  25. 25.
    S.Y. Chen, A. Maksimchuk, D. Umstadter, Nature 396, 653 (1998)ADSCrossRefGoogle Scholar
  26. 26.
    K. Ta Phuok, A. Rousse et al., Phys. Rev. Lett. 91, 195001 (2003)ADSCrossRefGoogle Scholar
  27. 27.
    P. Gibbon, Short Pulse Laser Interaction with Matter (Imperial College Press, London, 2005)Google Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag GmbH Germany 2017

Authors and Affiliations

  1. 1.National Institute for Laser, Plasma and Radiation Physics, Laser DepartmentBucharestRomania

Personalised recommendations