Skip to main content
SpringerLink
Log in

Generalization of the Bennett equilibrium condition for a relativistic electron beam propagating in the Ohmic plasma channel and ion focusing regime along an external magnetic field

  • Theoretical and Mathematical Physics
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

The problem of formulating the generalization of the Bennett equilibrium condition is considered for a relativistic electron beam propagating in the Ohmic plasma channel, as well as in the ion focusing regime in the presence of an external longitudinal uniform magnetic field. We assume that the electron component of the background plasma is not completely removed from the region occupied by the beam. This equilibrium condition is derived using the mass and momentum transport equations obtained for a paraxial monoenergetic beam from the Fokker–Planck kinetic equation.

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. A. A. Rukhadze, L. S. Bogdankevich, S. E. Rosinskii, and V. G. Rukhlin, Physics of High-CurrentRelativistic Electron Beams (Atomizdat, Moscow, 1980).

    Google Scholar 

  2. A. N. Didenko, V. P. Grigor’ev, and Yu. P. Usov, Powerful Electron Guns and Their Application (Atomizdat, Moscow, 1977).

    Google Scholar 

  3. M. V. Kuzelev and A. A. Rukhadze, Electrodynamics of Dense Electron Beams in Plasma (Fizmatlit, Moscow, 1990).

    Google Scholar 

  4. R. Miller, An Introduction to the Physics of Intense Charged Particle Beams (Plenum, New York, 1982).

    Book  Google Scholar 

  5. E. K. Kolesnikov, A. S. Manuilov, and B. V. Filippov, Dynamics of Charged Particle Beams in Gas–Plasma Media (SPbGU, St. Petersburg, 2002).

    Google Scholar 

  6. E. P. Lee, Phys. Fluids 19 (1), 60 (1976).

    Article  ADS  MathSciNet  Google Scholar 

  7. H. L. Buchanan, Phys. Fluids 30 (1), 221 (1987).

    Article  ADS  Google Scholar 

  8. E. K. Kolesnikov and A. S. Manuilov, Tech. Phys. 49, 1208 (2004).

    Article  Google Scholar 

  9. A. S. Manuilov, Tech. Phys. 50, 491 (2005).

    Article  Google Scholar 

  10. E. K. Kolesnikov and A. S. Manuilov, Tech. Phys. 50, 937 (2005).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. St. Petersburg State University, Universitetskii pr. 28, Staryi Peterhof, St. Petersburg, 198504, Russia

    E. K. Kolesnikov & A. S. Manuilov

Authors
  1. E. K. Kolesnikov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. S. Manuilov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. S. Manuilov.

Additional information

Original Russian Text © E.K. Kolesnikov, A.S. Manuilov, 2016, published in Zhurnal Tekhnicheskoi Fiziki, 2016, Vol. 86, No. 4, pp. 1–5.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Kolesnikov, E.K., Manuilov, A.S. Generalization of the Bennett equilibrium condition for a relativistic electron beam propagating in the Ohmic plasma channel and ion focusing regime along an external magnetic field. Tech. Phys. 61, 477–481 (2016). https://doi.org/10.1134/S1063784216040137

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063784216040137

Keywords

Search

Navigation