Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-08T00:28:38.857Z Has data issue: false hasContentIssue false
  • English
  • Français

The electrostatic instability of rippled, magnetically focused, non-neutral, cylindrical beams of charged particles

Published online by Cambridge University Press:  13 March 2009

S. Cuperman  and
F. Petran
S. Cuperman
Affiliation:
Department of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Israel
F. Petran
Affiliation:
Department of Physics and Astronomy, Tel Aviv University, Ramat Aviv, Israel
Get access Rights & Permissions [Opens in a new window]

Abstract

The stability of rippled non-neutral beams of charged particles produced under conditions in which centrifugal, space charge and magnetic forces are not balanced, is investigated. The beams are considered to be cold and assumed to partly fill a conducting pipe in the presence of an axial uniform magnetic field. The calculations hold for small ripple amplitudes and long-wavelength electrostatic perturbations (or, alternatively, thin beams). The rippled equilibrium beams considered in this work are found to support unstable, azimuthally symmetric, surface electrostatic modes. The growth rates are proportional to the relative ripple amplitude and to the effective beam plasma frequency.

Type
Research Article
Information
Journal of Plasma Physics , Volume 25 , Issue 2 , April 1981 , pp. 215 - 223
Copyright
Copyright © Cambridge University Press 1981

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Arnold, R. C. 1979 Proceedings of the Heavy Ion Fusion Workshop, Argonne National Laboratory.Google Scholar
Bernstein, W., Leinbach, H., Cohen, H., Wilson, P. S., Davis, T. N., Hallinan, T., Baker, B., Martz, J., Zeimke, R. & Huber, W. 1975 J. Geophys. Res. 80, 4375.CrossRefGoogle Scholar
Davidson, R. C. 1974 Theory of Non-neutral Plasma. Benjamin.Google Scholar
Kittel, C. 1957 Solid State Physics, 2nd ed., ch. 11. Wiley.Google Scholar
Mahaffey, R. A., Batchelor, D. B. & Trivelpiece, A. W. 1976 J. Appl.Phys. 47, 4464.CrossRefGoogle Scholar
Mahaffey, R. A., Goldstein, S. A., Davidson, R. C. & Trivelpiece, A. W. 1975 Phys. Rev. Lett. 35, 1439.CrossRefGoogle Scholar
Mahaffey, R. A. & Trivelpiece, A. W. 1977 Phys. Fluids, 20, 469.CrossRefGoogle Scholar
Theiss, A. J., Mahaffey, R. A. & Trivelpiece, A. W. 1975 Phys. Rev. Lett. 35, 1436.CrossRefGoogle Scholar
Theiss, A. J., Mahaffey, R. A. & Trivelpiece, A. W. 1977 Phys. Fluids, 20, 785.CrossRefGoogle Scholar
Tien, P. K. 1977 Rev. Mod. Phys. 49, 361.CrossRefGoogle Scholar