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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
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

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
Copyright
Copyright © Cambridge University Press 1985

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References

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