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Theory of second-order cyclotron resonance as related to the origin of discrete VLF emissions in the magnetosphere

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Abstract

Recent analytical and numerical results concerning the role of the second-order cyclotron resonance effects in formation of discrete emissions in the magnetosphere are reviewed. Peculiarities of whistler cyclotron interactions with energetic particles having sharp (step-like or beam-like) distribution functions evolving in space and time are studied. Formation of such distributions is considered, and an analytical self-consistent theory of the second-order cyclotron resonance effects is developed. In particular, characteristics of electron beams produced by the interaction of a VLF wave packet from a ground-based transmitter are studied. It is shown that spatial and temporal gradients of the parallel velocity of the beams formed can be opposite to the case of a pure adiabatic motion of a single particle. Such a behavior can be significant for the generation of secondary emissions. It is proven that the optimal conditions for the instability occur for a nonstationary quasi-monochromatic wavelets whose frequency changes in time. The theory developed permits one to estimate the wave amplification and spatio-temporal characteristics of these wavelets. Numerical results on beam formation and generation of secondary emissions are presented.

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References

  1. R. A. Helliwell,Whistlers and Related Ionospheric Phenomena, Palo Alto (Calif.): Stanford Univ. Press (1965).

    Google Scholar 

  2. Y. Omura, D. Nunn, Matsumoto H. Matsumoto, and M. J. Rycroft.J. Atmos. Terr. Phys.,53, No. 5, 351 (1991).

    Article  ADS  Google Scholar 

  3. P. A. Bespalov and V. Yu. Trakhtengerts, in:Reviews of Plasma Physics, edited by M. A. Leontovich, Vol. 10, Plenum, New York (1986), p. 155.

    Google Scholar 

  4. V. Yu. Trakhtengerts, M. J. Rycroft, and A. G. Demekhov,J. Geophys. Res.,101 (A6), 13293 (1996).

    Article  ADS  Google Scholar 

  5. R. A. Helliwell,J. Geophys. Res.,72, 4773 (1967).

    ADS  Google Scholar 

  6. D. Nunn,Planet. Space Sci.,22, 349 (1974).

    Article  ADS  Google Scholar 

  7. D. Nunn,J. Plasma Phys.,11, 189 (1974).

    Article  ADS  Google Scholar 

  8. D. Nunn,Planet. Space Sci.,34 (5), 429 (1986).

    Article  ADS  Google Scholar 

  9. V. I. Karpman, Ya. N. Istomin, and D. R. Shklyar,Plasma Phys.,16, No. 8, 685 (1974).

    Article  ADS  Google Scholar 

  10. Ya. N. Istomin, V. I. Karpman, and D. R. Shklyar,Geomagn. Aeron.,16, No. 1, 116 (1976).

    ADS  Google Scholar 

  11. A. Roux and R. Pellat,J. Geophys. Res.,83, 1433 (1978).

    Article  ADS  Google Scholar 

  12. H. Matsumoto, in:Wave Instabilities in Space Plasmas, D. Reidel, Dordrecht (1979), p. 163.

    Google Scholar 

  13. Y. Omura and H. Matsumoto,J. Geophys. Res., 4435 (1982).

  14. Y. Omura and H. Matsumoto, in:Proceedings of ISAP (1985), p. 995.

  15. Ya. N. Istomin,Geomagn. Aeron.,17, 359 (1977).

    ADS  MathSciNet  Google Scholar 

  16. J. L. Vomvoridis, T. L. Crystal, and J. Denavit,J. Geophys. Res.,87 (A3), 1473 (1982).

    ADS  Google Scholar 

  17. K. Molvig, G. Hilfer, R. H. Miller, and J. Myczkowski,J. Geophys. Res.,93 (A6), 5665 (1988).

    ADS  Google Scholar 

  18. A. J. Smith and D. Nunn,J. Geophys. Res.,103 (A4), 6771 (1998).

    Article  ADS  Google Scholar 

  19. D. Nunn, J. Manninen, T. Turunen, V. Yu. Trakhtengerts, and N. S. Erokhin,Ann. Geophys.,17, No. 1, p. 79 (1999).

    Article  ADS  Google Scholar 

  20. V. Yu. Trakhtengerts, Y. Hobara, A. G. Demekhov, and M. Hayakawa,Physics of Plasmas,6 (3), 692 (1999).

    Article  ADS  Google Scholar 

  21. V. Yu. Trakhtengerts, Y. Hobara, A. G. Demekhov, and M. Hayakawa,Adv. Space Res. (1999) (submitted).

  22. Y. Hobara, V. Yu. Trakhtengerts, A. G. Demekhov, and Hayakawa M. “Formation of electron beams in the interaction of a whistler wave packet with radiation belt electrons”,J. Atmos. Solar-Terr. Phys. (1999) (submitted).

  23. V. Yu. Trakhtengerts,J. Geophys. Res.,100 (9), 17205 (1995).

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Institute of Applied Physics, Nizhny Novgorod, Russia

    A. G. Demekhov, V. Yu. Trakhtengerts & Y. Hobara

  2. The University of Electro-Communications, Tokyo, Japan

    Y. Hobara & M. Hayakawa

Authors
  1. A. G. Demekhov
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  2. V. Yu. Trakhtengerts
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  3. Y. Hobara
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  4. M. Hayakawa
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 42, No. 8, pp. 713–727, August 1999.

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Demekhov, A.G., Trakhtengerts, V.Y., Hobara, Y. et al. Theory of second-order cyclotron resonance as related to the origin of discrete VLF emissions in the magnetosphere. Radiophys Quantum Electron 42, 625–638 (1999). https://doi.org/10.1007/BF02676848

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  • DOI: https://doi.org/10.1007/BF02676848

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