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Efficiency of Nonlinear Interaction of an Ordinary Wave with Longitudinal Oscillations in Strongly Inhomogeneous Magnetoactive Plasma

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Abstract—

In this paper, we obtain an expression for the high-frequency quadratic susceptibility of strongly inhomogeneous magnetoactive plasma, which describes the nonlinear coupling of an ordinary wave with longitudinal oscillations.

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REFERENCES

  1. V. P. Silin, Parametric Action of High-Power Radiation on Plasma (Nauka, Moscow, 1973) [in Russian].

    Google Scholar 

  2. I. R. Gekker and O. V. Sizukhin, JETP Lett. 9, 243 (1969).

    ADS  Google Scholar 

  3. G. M. Batanov and K.A. Sarksyan, JETP Lett. 13, 384 (1971).

    ADS  Google Scholar 

  4. M. Porkolab, V. Arunasalam, and R. A. Ellis, Phys. Rev. Lett. 29, 1438 (1972).

    Article  ADS  Google Scholar 

  5. N. E. Andreev, G. M. Batanov, and K. A. Sarksyan, JETP 36, 659 (1973).

    ADS  Google Scholar 

  6. M. Porkolab, V. Arunasalam, and N. C. Luhman, Plasma Phys. 17, 405 (1975).

    Article  ADS  Google Scholar 

  7. G. M. Batanov, L. M. Kovrizhnykh, A. E. Petrov, A. V. Sapozhnikov, K. A. Sarksyan, A. S. Sakharov, and N. N. Skvortsova, JETP 8, 703 (1983).

    Google Scholar 

  8. A. D. Piliya, in Proceedings of the 10th International Conference on Phenomena in Ionized Gases, Oxford,1971, p. 320.

  9. F. W. Perkins and J. Flick, Phys. Fluids 14, 2012 (1971).

  10. M. N. Rosenbluth, Phys. Rev. Lett. 29, 565 (1972).

    Article  ADS  Google Scholar 

  11. A. D. Piliya, Sov. Phys. JETP 37, 629 (1973).

    ADS  Google Scholar 

  12. M. Porkolab and B. I. Cohen, Nucl. Fusion 28, 239 (1988).

    Article  Google Scholar 

  13. B. I. Cohen, R. H. Cohen, W. M. Nevins, and T. D. Rognlien, Rev. Mod. Phys. 63, 949 (1991).

    Article  ADS  Google Scholar 

  14. A. G. Litvak, A. M. Sergeev, E. V. Suvorov, M. D. Tokman, and I. V. Khazanov, Phys. Fluids B 5, 4347.

  15. F. S. McDermott, G. Bekefi, K. E. Hackett, J. S. Levine, and M. Porkolab, Phys. Fluids 25, 1488 (1982).

    Article  ADS  Google Scholar 

  16. R. Wilhelm, N. Erckmav, G. Janzen, W. Kasparek, G. Muller, E. Rauchle, P. G. Schuller, K. Schwrorer, M. Tumm, and the W7-A Team, Plasma Phys. Controlled Fusion 26, 1433 (1984).

    Article  ADS  Google Scholar 

  17. D. G. Bulyginsky, V. V. Dyachenko, M. A. Irzak, M. M. Larionov, L. S. Levin, G. A. Serebrenniy, and N. V. Shustova, Sov. J. Plasma Phys. 12, 77 (1986).

    Google Scholar 

  18. H. P. Laqua, V. Erckmann, H. J. Hartfuß, H. Laqua, the W7-AS Team, and ECRH Group, Phys. Rev. Lett. 78, 3467 (1997).

    Article  ADS  Google Scholar 

  19. V. Shevchenko, Y. Baranov, M. O’ Brien, and A. Saveliev, Phys. Rev. Lett. 89, 265005 (2002).

  20. H. P. Laqua, H. Maassberg, N. B. Marushchenko, F. Volpe, A. Weller, and the W7-AS Team, Phys. Rev. Lett. 90, 075003 (2003).

  21. E. Z. Gusakov and A. V. Surkov, Plasma Phys. Controlled Fusion 49, 631 (2007).

    Article  ADS  Google Scholar 

  22. V. Shevchenko, G. Cunningham, A. D. Gurchenko, E. Gusakov, B. Lloyd, M. O’ Brien, A. Saveliev, A. Surkov, F. Volpe, and M. Walsh, Fusion Sci. Technol. 52, 202 (2007).

    Article  Google Scholar 

  23. E. Westerhof, S. K. Nielsen, J. W. Oosterbeek, M. Salewski, M. R. de Baar, W. A. Bongers, A. Burger, B. A. Hennen, S. B. Korsholm, F. Leipold, D. Moseev, M. Stejner, D. J. Thoen, and the TEXTOR Team, Phys. Rev. Lett. 103, 125001 (2009).

  24. S. K. Nielsen, M. Salewski, E. Westerhof, W. Bongers, S. B. Korsholm, F. Leipold, J. W. Oosterbeek, D. Moseev, M. Stejner, and the TEXTOR Team, Plasma Phys. Controlled Fusion 55, 115003 (2013).

  25. S. Coda and the TCV Team, Nucl. Fusion 55, 104004 (2015).

  26. M. Martinez, B. Zurro, A. Baciero, D. Jiménez-Rey, and V. Tribaldo, Plasma Phys. Controlled Fusion 60, 025024 (2018).

  27. B. Ph. van Milligen, B. A. Carreras, C. Hidalgo, A. Cappa, and the TJ-II Team, Phys. Plasmas 25, 062503 (2018).

  28. A. B. Altukhov, V. I. Arkhipenko, A. D. Gurchenko, E. Z. Gusakov, A. Yu. Popov, L. V. Simonchik, and M. S. Usachonak, Europhys. Lett. 126, 15002 (2019).

    Article  Google Scholar 

  29. E. Z. Gusakov and A. Yu. Popov, Phys. Rev. Lett. 105, 115003 (2010).

  30. E. Z. Gusakov and A. Yu. Popov, Europhys. Lett. 99, 15001 (2012).

    Article  ADS  Google Scholar 

  31. A. Yu. Popov and E. Z. Gusakov, Plasma Phys. Controlled Fusion 57, 025022 (2015).

  32. A. Yu. Popov and E. Z. Gusakov, Europhys. Lett. 116, 45002 (2016).

    Article  ADS  Google Scholar 

  33. A. Yu. Popov and E. Z. Gusakov, JETP Lett. 105, 78 (2017).

    Article  ADS  Google Scholar 

  34. E. Z. Gusakov and A. Yu. Popov, Phys. Plasmas 23, 082503 (2016).

  35. E. Z. Gusakov, A. Yu. Popov, and P. V. Tretinnikov, JETP Lett. 108, 93 (2018).

    Article  ADS  Google Scholar 

  36. B. La Bombard, M. V. Umansky, R. L. Boivin, J. A. Goetz, J. Hughes, B. Lipschultz, D. Mossessian, C. S. Pitcher, J. L. Terry, and the Alcator Group, Nucl. Fusion 40, 2041 (2000).

    Article  Google Scholar 

  37. E. Z. Gusakov and A. Yu. Popov, Phys. Plasmas 25, 012101 (2018).

  38. A. Yu. Popov, P. V. Tretinnikov, and E. Z. Gusakov, Plasma Phys. Controlled Fusion 61, 105008 (2019).

  39. A. Yu. Popov, P. V. Tretinnikov, E. Z. Gusakov, and L. V. Simonchik, Plasma Phys. Rep. (in press).

  40. A. F. Alexandrov, L. S. Bogdankevich, and A. A. Rukhadze, Principles of Plasma Electrodynamics (Vysshaya Shkola, Moscow, 1978; Springer-Verlag, Berlin, 1984).

  41. V. I. Petviashvili and V. V. Yan’kov, in Reviews of Plasma Physics, Ed. by B. B. Kadomtsev (Energoatomizdat, Moscow, 1985; Consultants Bureau, New York, 1987), Vol. 14.

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Funding

This work was supported by the Belarusian Republican Foundation for Fundamental Research, project no. F18R-040 and the Russian Foundation for Basic Research, project no. 18-52-00010.

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Authors and Affiliations

  1. Ioffe Institute, 194021, St. Petersburg, Russia

    A. Yu. Popov, P. V. Tretinnikov & E. Z. Gusakov

  2. Institute of Physics, National Academy of Sciences of Belarus, 220072, Minsk, Republic of Belarus

    L. V. Simonchik

Authors
  1. A. Yu. Popov
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  2. P. V. Tretinnikov
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  3. E. Z. Gusakov
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  4. L. V. Simonchik
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Corresponding author

Correspondence to A. Yu. Popov.

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Translated by A. Ivanov

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Popov, A.Y., Tretinnikov, P.V., Gusakov, E.Z. et al. Efficiency of Nonlinear Interaction of an Ordinary Wave with Longitudinal Oscillations in Strongly Inhomogeneous Magnetoactive Plasma. Plasma Phys. Rep. 46, 430–434 (2020). https://doi.org/10.1134/S1063780X2004008X

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  • DOI: https://doi.org/10.1134/S1063780X2004008X

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