Skip to main content
SpringerLink
Log in

Variation in the parameters of an electron cloud expanding in plasma and vacuum

  • Microwave Electronics
  • Published:
Journal of Communications Technology and Electronics Aims and scope Submit manuscript

Abstract

The dynamics of an electron cloud expanding under the action of an electric force from its uncompensated volume charge in vacuum and with allowance for the friction force in plasma is studied in the hydrodynamic approximation. The variations in the electric field strength, velocity, density, and electron current in the cloud with time and distance are determined. For the motion of an electron cloud in a plasma, the moment is found when the electron velocity on the edge of the cloud vanishes, which can lead to the rise of back currents and intersections of electron trajectories in the cloud. It is shown that, if an electron cloud moves in vacuum, this phenomenon is impossible and the parameters of the flow tend with time to their asymptotic values. The maximum cross section area of an electron cloud with a concentration exceeding a given one is found.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. R. Devidson, Theory of Non-Neutral Plasmas (W. A. Benjamin, Reading, Massachusetts, 1974; Mir, Moscow, 1978).

    Google Scholar 

  2. Artificial Particle Beams in Space Plasma Studies, Ed. B. Grandal (Plenum, New York, 1982; Mir, Moscow, 1985).

  3. V. L. Ginzburg and A. A. Rukhadze, Waves in Magnetoactive Plasma (Nauka, Moscow, 1970) [in Russian].

    Google Scholar 

  4. L. I. Sedov, A Course in Continuum Mechanics (Nauka, Moscow, 1983; Wolters-Noordhoff, Groningen, 1971), Vol. 1.

    MATH  Google Scholar 

  5. B. L. Rozhdestvenskii and N. N. Yanenko, Systems of Quasi-Linear Equations (Nauka, Moscow, 1978).

    MATH  Google Scholar 

  6. Yu. B. Movsesyants, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 10, 53 (1988).

    MathSciNet  Google Scholar 

  7. G. Kalman, Annals of Phys. 10 (1), 1 (1960).

    Article  MathSciNet  Google Scholar 

  8. V. D. Shapiro and V. I. Shevchenko, Zh. Eksp. Teor. Fiz. 52 (1), 144 (1967).

    Google Scholar 

  9. K. P. Stanyukovich, Unsteady Movements of a Continuous Environment (Nauka, Moscow, 1971) [in Russian].

    Google Scholar 

  10. V. S. Tkalich and N. V. Saltanov, Zh. Tekh. Fiz. 32 (2), 156 (1962).

    Google Scholar 

  11. V. A. Fedorov, Ukr. Fiz. Zh. 34, 1331 (1989).

    Google Scholar 

  12. J. M. Dowson, Phys. Rev. 113, 383 (1959).

    Article  MathSciNet  Google Scholar 

  13. E. Kamke, Gewöhnliche Differentialgleichungen (Acad. Verlag, Leipzig, 1959; Nauka, Moscow, 1976).

    MATH  Google Scholar 

  14. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Nauka, Moscow, 1971; Academic, New York, 1980).

    MATH  Google Scholar 

  15. N. A. Savich, M. B. Tseitlin, and N. A. Krapin, J. Commun. Technol. Electron. 45, 773 (2000).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Academician A.L. Mints Radio Engineering Institute, Moscow, 127083, Russia

    V. A. Fedorov

Authors
  1. V. A. Fedorov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to V. A. Fedorov.

Additional information

Original Russian Text © V.A. Fedorov, 2016, published in Radiotekhnika i Elektronika, 2016, Vol. 61, No. 10, pp. 1010–1015.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Fedorov, V.A. Variation in the parameters of an electron cloud expanding in plasma and vacuum. J. Commun. Technol. Electron. 61, 1144–1149 (2016). https://doi.org/10.1134/S1064226916100119

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1064226916100119

Search

Navigation