Skip to main content
SpringerLink
Log in

On envelope equations for electron beams in magnetic fields

  • Electron and Ion Beams, Accelerators
  • Published:
Technical Physics Aims and scope Submit manuscript

Abstract

A self-similarity approach is used to obtain envelope equations for an annular beam propagating along a magnetic field, and also an electron beam injected at an angle to a magnetic field. An exact solution is constructed for the self-consistent problem of transverse oscillations of a cold annular beam in a magnetic field, and a comparison is made with approximate results from the method of envelope equations.

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. I. M. Kapchinsky and V. V. Vladimirsky, in Proceedings of the International Conference on High Energy Accelerators and Instrumentation, CERN, Geneva, 1959, p. 274.

    Google Scholar 

  2. O. I. Yarkovoi, Zh. Tekh. Fiz. 36, 988 (1966) [Sov. Phys. Tech. Phys. 11, 731 (1966)].

    Google Scholar 

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

    ADS  MathSciNet  Google Scholar 

  4. E. P. Lee and R. K. Cooper, Part. Accel. 7, 83 (1976).

    Google Scholar 

  5. N. D. Naumov, Fiz. Plazmy 19, 1406 (1993) [Plasma Phys. Rep. 19, 738 (1993)].

    Google Scholar 

  6. N. D. Naumov, Zh. Tekh. Fiz. 67(7), 103 (1997) [Tech. Phys. 42, 814 (1997)].

    Google Scholar 

  7. G. V. Lizunov and A. A. Silivra, Geomagnetism and Aeronomy 28, 980 (1988) [in Russian].

    ADS  Google Scholar 

  8. J. D. Lawson, The Physics of Charged-Particle Beams [Clarendon Press, Oxford (1977); Mir, Moscow (1980)].

    Google Scholar 

  9. V. P. Sarantsev and E. A. Perel’shtein, Collective Acceleration of Ions by Electron Rings [in Russian], Atomizdat, Moscow, 1979.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Central Physicotechnical Institute, 141300, Sergiev Posad, Russia

    N. D. Naumov

Authors
  1. N. D. Naumov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Zh. Tekh. Fiz. 68, 103–107 (January 1998)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Naumov, N.D. On envelope equations for electron beams in magnetic fields. Tech. Phys. 43, 93–96 (1998). https://doi.org/10.1134/1.1258943

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1134/1.1258943

Keywords

Search

Navigation