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On linear transformation of waves in a two-dimensional inhomogeneous magnetized plasma with collisional absorption

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Radiophysics and Quantum Electronics Aims and scope

We consider the linear coupling of waves in the electron-cyclotron frequency range in a nonone-dimensional inhomogeneous magnetized plasma in the vicinity of the plasma cutoff surface with allowance for their collisional dissipation. Model wave equations describing the normal wave interaction in the considered case are formulated and solved analytically. Effects of the absorption anisotropy typical of magnetized plasma on the linear mode coupling in two-dimensional inhomogeneous geometry are analyzed.

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References

  1. V. L.Ginzburg, The Propagation of Electromagnetic Waves in Plasmas, Pergamon, Oxford, New York (1970).

    Google Scholar 

  2. V. L.Ginzburg, Zh. Éksp. Teor. Fiz., 7, 289 (1043).

    Google Scholar 

  3. V. L. Ginzburg, Zh. Éksp. Teor. Fiz., 18, 487 (1948).

    MathSciNet  Google Scholar 

  4. I. S. Shklovsky, Astron. Zh., 23, 233 (1946).

    Google Scholar 

  5. V. V. Zheleznyakov, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 1, 32 (1958).

    Google Scholar 

  6. V. V. Zheleznyakov, Izv. Vyssh. Uchebn. Zaved., Radiofiz., 2, 858 (1959).

    Google Scholar 

  7. H.P. Laqua, V. Erckmann, H. J. Hartfuβ, et al., Phys. Rev. Lett ., 78, 3467 (1997).

    Article  ADS  Google Scholar 

  8. H.P. Laqua, Plasma Phys. Control. Fusion, 49, R1 (2007).

    Article  ADS  Google Scholar 

  9. E. Mjolhus, J. Plasma Phys., 31, 7 (1984).

    Article  ADS  Google Scholar 

  10. M. D.Tokman, Fiz. Plazmy, 10, 1205 (1985).

    Google Scholar 

  11. A. V.Timofeev, Fiz. Plazmy, 26, No. 10, 874 (2000).

    Google Scholar 

  12. H.Weitzner, Phys. Plasmas, 11, No. 3, 866 (2004).

    Article  ADS  Google Scholar 

  13. E. D. Gospodchikov, A. G. Shalashov, and E. V. Suvorov, Plasma Phys. Control. Fusion, 48, 869 (2006).

    Article  ADS  Google Scholar 

  14. A.G. Shalashov, E.D.Gospodchikov, and E.V. Suvorov, Zh. Éksp. Teor. Fiz ., 130, No. 3, 544 (2006).

    Google Scholar 

  15. A.Yu. Popov and A.D. Piliya, Plasma Phys. Rep., 33, 109 (2007).

    Article  ADS  Google Scholar 

  16. A.Yu. Popov, Plasma Phys. Control. Fusion, 49, 1599 (2007).

    Article  Google Scholar 

  17. A. G. Shalashov and E.D.Gospodchikov, Plasma Phys. Control. Fusion, 50, No. 4, 045005 (2008).

    Article  ADS  Google Scholar 

  18. E.D. Gospodchikov, A.G. Shalashov, and E. V. Suvorov, Fusion Sci. Technol ., 53, 261 (2008).

    Google Scholar 

  19. A.Yu. Popov, Plasma Phys. Control. Fusion, 52, 035008 (2010).

    Article  ADS  Google Scholar 

  20. A. G. Shalashov and E.D.Gospodchikov, Plasma Phys. Control. Fusion, 52, 115001 (2010).

    Article  ADS  Google Scholar 

  21. T. H. Stix, The Theory of Plasma Waves, McGraw-Hill, New York (1962).

    MATH  Google Scholar 

  22. M. Abramowitz and I.A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, New York (1964).

    MATH  Google Scholar 

  23. H. Bateman and A. Erdely, Higher Transcendental Functions. Vol. 2, McGraw-Hill, New York (1953).

    Google Scholar 

  24. G.Korn and T.Korn, Mathematical Handbook for Scientists and Engineers, 2nd ed., McGraw-Hill, New York (1967).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Applied Physics of the Russian Academy of Sciences, Nizhny Novgorod, Russia

    E. D. Gospodchikov & A. G. Shalashov

Authors
  1. E. D. Gospodchikov
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  2. A. G. Shalashov
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Correspondence to E. D. Gospodchikov.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Radiofizika, Vol. 55, No. 7, pp. 510–520, July 2012.

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Gospodchikov, E.D., Shalashov, A.G. On linear transformation of waves in a two-dimensional inhomogeneous magnetized plasma with collisional absorption. Radiophys Quantum El 55, 462–471 (2012). https://doi.org/10.1007/s11141-012-9382-0

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  • DOI: https://doi.org/10.1007/s11141-012-9382-0

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