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Instabilities of a circularly polarized wave with trapped particles in an isotropic plasma

  • Plasma Oscillations and Waves
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Abstract

The structure and stability of a transverse electromagnetic wave propagating with a velocity lower than the speed of light in an unmagnetized plasma are considered. The stationary finite-amplitude wave is described by exact solutions to the Vlasov-Maxwell equations. However, unlike the well-known electrostatic analog, the Bernstein-Greene-Kruskal wave, the wave structure is determined to a large extent by the presence of trapped particles with a shear of transverse velocities, without which the existence of waves with a refraction index larger than unity is impossible. It is shown that the main origin of the wave instability is the longitudinal motion of trapped particles relative to the background plasma. Expressions for the growth rates in the main instability regimes are found under definite restrictions on the wave parameters.

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References

  1. D. Bohm and E. P. Gross, Phys. Rev. 75, 1851 (1864).

    Article  Google Scholar 

  2. I. B. Bernstein, J. M. Greene, and M. D. Kruskal, Phys. Rev. 108, 546 (1957).

    Article  MathSciNet  ADS  MATH  Google Scholar 

  3. T. Stix, The Theory of Plasma Waves (Mc Graw-Hill, New York, 1962).

    MATH  Google Scholar 

  4. T. M. O’Neil, Phys. Fluids 8, 2255 (1965).

    Article  MathSciNet  ADS  Google Scholar 

  5. W. L. Kruer, J. M. Dawson, and R. N. Sudan, Phys. Rev. Lett. 23, 838 (1969).

    Article  ADS  Google Scholar 

  6. R. Z. Sagdeev and V. D. Shapiro, JETP Lett. 17, 279 (1973).

    ADS  Google Scholar 

  7. V. L. Krasovsky, Phys. Lett. A 163, 199 (1992).

    Article  ADS  Google Scholar 

  8. V. L. Krasovsky, Phys. Scr. 49, 489 (1994).

    Article  ADS  Google Scholar 

  9. V. L. Krasovsky, R. Z. Sagdeev, and L. M. Zelenyi, Phys. Lett. A 360, 713 (2007).

    Article  ADS  Google Scholar 

  10. V. L. Krasovsky, Plasma Phys. Rep. 33, 839 (2007).

    Article  ADS  Google Scholar 

  11. R. A. Helliwell, Space Sci. Rev. 15, 781 (1974).

    Article  ADS  Google Scholar 

  12. V. I. Karpman, Space Sci. Rev. 16, 361 (1974).

    Article  ADS  Google Scholar 

  13. Y. Omura, D. Nunn, H. Matsumoto, and M. J. Rycroft, J. Atmos. Terr. Phys. 53, 351 (1991).

    Article  ADS  Google Scholar 

  14. A. I. Matveev, Plasma Phys. Rep. 35, 315 (2009).

    Article  ADS  Google Scholar 

  15. V. L. Krasovsky, Phys. Lett. A 374, 1751 (2010).

    Article  ADS  MATH  Google Scholar 

  16. A. Sestero, Phys. Fluids 10, 193 (1967).

    Article  ADS  Google Scholar 

  17. P. J. Channell, Phys. Fluids 19, 1541 (1976).

    Article  ADS  Google Scholar 

  18. A. B. Mikhailovskii, Theory of Plasma Instabilities, Vol. 1: Instabilities of a Homogeneous Plasma (Consultants Bureau, New York, 1974).

    Google Scholar 

  19. J. M. Greene, Phys. Fluids 5, 1715 (1993).

    Article  MathSciNet  Google Scholar 

  20. V. L. Krasovsky, Plasma Phys. Controlled Fusion 53, 115011 (2009).

    Article  ADS  Google Scholar 

Download references

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Authors and Affiliations

  1. Space Research Institute, Russian Academy of Sciences, Profsoyuznaya ul. 84/32, Moscow, 117997, Russia

    V. L. Krasovsky

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  1. V. L. Krasovsky
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Correspondence to V. L. Krasovsky.

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Original Russian Text © V.L. Krasovsky, 2013, published in Fizika Plazmy, 2013, Vol. 39, No. 4, pp. 367–373.

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Krasovsky, V.L. Instabilities of a circularly polarized wave with trapped particles in an isotropic plasma. Plasma Phys. Rep. 39, 327–333 (2013). https://doi.org/10.1134/S1063780X13040041

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  • DOI: https://doi.org/10.1134/S1063780X13040041

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