Skip to main content
Log in

Dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency. Part II

  • Plasma Oscillations and Waves
  • Published:
Plasma Physics Reports Aims and scope Submit manuscript

Abstract

The dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency ω1 = (ω 2 p + ω 2 B )1/21 − δ < ω < ω1) are studied. It is shown that, in this frequency range, the eigenmodes of the plasma-filled waveguide are represented by the families of EH and cyclotron HE modes, the interaction between which is weak everywhere except for the vicinities of certain points in the (ω, k z ) plane. The equations describing the behavior of the dispersion curves in these vicinities are derived. It is shown that, as a result of the interaction, the high-frequency branches of EH modes acquire the cutoff frequencies corresponding to the high-order propagating HE modes. It is established that the anisotropic HE+l mode can also interact with cyclotron HE modes. In this case, its dispersion curve enters the lower half-vicinity of the upper hybrid frequency, where it is modified due to the interaction, and then leaves it.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. E. G. Aleksov and S. T. Ivanov, Sov. J. Plasma Phys. 14, 883 (1988).

    Google Scholar 

  2. Z. F. Ding, L. W. Chen, and Y. N. Wang, Phys. Plasmas 11, 1168 (2004).

    Article  ADS  Google Scholar 

  3. S. T. Ivanov and E. G. Alexov, Phys. Scr. 40, 58 (1989).

    Article  ADS  Google Scholar 

  4. S. Liu, J. K. Lee, and D. Zhu, Sci. China, Ser. E 39, 485 (1996).

    MATH  Google Scholar 

  5. V. I. Shcherbinin, V. I. Tkachenko, G. I. Zaginaylov, and K. Shuenemann, Plasma Phys. Rep. 40, 221 (2014).

    Article  ADS  Google Scholar 

  6. G. I. Zaginaylov, V. I. Shcherbinin, and K. Shuenemann, Plasma Phys. Rep. 31, 596 (2005).

    Article  ADS  Google Scholar 

  7. V. I. Tkachenko and V. I. Shcherbinin, J. Kharkiv Univ., Phys. Ser. Nucl. Part. Fields 979(4), 56 (2011).

    Google Scholar 

  8. Ya. B. Fainberg and M. F. Gorbatenko, Sov. Phys. Tech. Phys. 4, 487 (1959).

    MathSciNet  Google Scholar 

  9. E. Jahnke, F. Emde, and F. Losch, Tables of Higher Functions (McGraw-Hill, New York, 1960).

    MATH  Google Scholar 

  10. M. V. Kuzelev, A. A. Rukhadze, and P. S. Strelkov, Plasma Relativistic Microwave Electronics (Mosk. Gos. Tekhn. Univ. im. N.E. Baumana, Moscow, 2002) [in Russian].

    Google Scholar 

  11. A. N. Antonov, V. A. Buts, I. K. Koval’chuk, O. F. Kovpik, E. A. Kornilov, V. G. Svichenskii, and D. V. Tarasov, Plasma Phys. Rep. 38, 636 (2012).

    Article  ADS  Google Scholar 

  12. M. A. Lavrent’ev and B. V. Shabat, Methods of Complex Function Theory (Nauka, Moscow, 1987) [in Russian].

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to V. I. Shcherbinin.

Additional information

Original Russian Text © V.I. Shcherbinin, V.I. Tkachenko, G.I. Zaginaylov, K. Schuenemann, 2014, published in Fizika Plazmy, 2014, Vol. 40, No. 4, pp. 352–358.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Shcherbinin, V.I., Tkachenko, V.I., Zaginaylov, G.I. et al. Dispersion properties of a magnetoactive plasma-filled waveguide in the vicinity of the upper hybrid frequency. Part II. Plasma Phys. Rep. 40, 283–289 (2014). https://doi.org/10.1134/S1063780X14040084

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063780X14040084

Keywords

Navigation