Journal of Russian Laser Research

, Volume 40, Issue 5, pp 429–434 | Cite as

Harmonic Generation by Relativistic Plasma Resonance

  • I. I. MetelskiiEmail author
  • V. F. Kovalev
  • V. Yu. Bychenkov


We present a theory on harmonic generation by relativistic plasma resonance mechanism in an inhomogeneous laser plasma. We find a transverse component of the resonance–enhanced electric field and electron velocities near the plasma critical density and calculate the nonlinear current as the source of the harmonic generation in vacuum. We obtain the power-law spectra of the radiation field and discuss their characteristics depending on the laser-plasma parameters.


laser plasma harmonic generation relativistic effects renormgroup symmetries nonlinear differential equation 


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  1. 1.
    N. S. Erokhin, S. S. Moiseev, and V. V. Mukhin, Nuclear Fusion, 14, 333 (1974).CrossRefGoogle Scholar
  2. 2.
    A. B. Vladimirskii and V. P. Silin, Sov. J. Plasma Phys., 6, 354 (1980).Google Scholar
  3. 3.
    B. N. Gershman, N. G. Denisov, and V. L. Ginsburg, Physics-Uspekhi, 61, 561 (1957).Google Scholar
  4. 4.
    V. F. Kovalev and V. V. Pustovalov, Theor. Math. Phys., 81, 1060 (1989).CrossRefGoogle Scholar
  5. 5.
    V. F. Kovalev and D. V. Shirkov, Physics-Uspekhi, 178, 849 (2008).Google Scholar
  6. 6.
    I. I. Metelskii, V. F. Kovalev, and V. Yu. Bychenkov, Plasma Phys. Rep., 43, 175 (2017).ADSCrossRefGoogle Scholar
  7. 7.
    A. D. Piliya, Sov. Phys. Tech. Phys., 11, 609 (1966).Google Scholar

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© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • I. I. Metelskii
    • 1
    • 2
    Email author
  • V. F. Kovalev
    • 1
    • 2
    • 3
  • V. Yu. Bychenkov
    • 1
    • 2
  1. 1.Lebedev Physical InstituteRussian Academy of SciencesMoscowRussia
  2. 2.All-Russia Research Institute of Automatics (VNIIA)MoscowRussia
  3. 3.Keldysh Institute of Applied MathematicsRussian Academy of SciencesMoscowRussia

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