Hostname: page-component-cd9895bd7-dk4vv Total loading time: 0 Render date: 2024-12-27T14:07:24.517Z Has data issue: false hasContentIssue false
  • English
  • Français

Compton and Raman free electron laser stability properties for a cold electron beam propagating through a helical magnetic wiggler

Published online by Cambridge University Press:  13 March 2009

John A. Davies ,
Ronald C. Davidson  and
George L. Johnston
John A. Davies
Affiliation:
Clark University, Worcester, Massachusetts 01610
Ronald C. Davidson
Affiliation:
Science Applications, Inc., Boulder, Colorado 80302
George L. Johnston
Affiliation:
Plasma Fusion Center, Massachusetts Institute of Technology Cambridge, Massachusetts 02139
Get access Rights & Permissions [Opens in a new window]

Abstract

This paper gives an extensive characterization of the range of validity of the Compton and Raman approximations to the exact free electron laser dispersion relation for a cold, relativistic electron beam propagating through a constantamplitude helical wiggler magnetic field. The electron beam is treated as infinite in transverse extent. Specific properties of the exact and approximate dispersion relations are investigated analytically and numerically. In particular, a detailed numerical analysis is carried out to determine the range of validity of the Compton approximation.

Type
Research Article
Information
Journal of Plasma Physics , Volume 33 , Issue 3 , June 1985 , pp. 387 - 423
Copyright
Copyright © Cambridge University Press 1985

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

Bernstein, I. B. & Hirschfield, J. L. 1979 Phys. Rev. A 20, 1661.CrossRefGoogle Scholar
Cary, J. R. & Kwan, T. 1981 Phys. Fluids, 24, 729.CrossRefGoogle Scholar
Davidson, R. C. & Uhm, H. S. 1980 Phys. Fluids, 23, 2076.CrossRefGoogle Scholar
Elias, L. R., Fairbank, W. M., Madey, J. M., Schwettman, H. A. & Smith, T. I. 1976 Phys. Rev. Lett. 36, 717.CrossRefGoogle Scholar
Kroll, N. M. & McMullin, W. A. 1978 Phys. Rev. A 17, 300.CrossRefGoogle Scholar
Kwan, T., Dawson, J. M. & Lin, A. T. 1977 Phys. Fluids, 20, 581.CrossRefGoogle Scholar
Kwan, T. 1978 Ph.D. Thesis, University of California, Los Angeles, p. 59.Google Scholar
McMullin, W. A. 1980 Ph.D. Thesis, University of California, San Diego.Google Scholar