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Re-examination of the one-dimensional theory of a Raman free-electron laser

Published online by Cambridge University Press:  06 March 2002

J. E. WILLETT ,
B. BOLON ,
U.-H. HWANG  and
Y. AKTAS
J. E. WILLETT
Affiliation:
Department of Physics and Astronomy, University of Missouri–Columbia, Columbia, MO 65211, USA
B. BOLON
Affiliation:
Department of Physics and Astronomy, University of Missouri–Columbia, Columbia, MO 65211, USA
U.-H. HWANG
Affiliation:
Department of Physics, Korea University of Technology and Education, Chunan, Choongnam 330-860, Korea
Y. AKTAS
Affiliation:
Department of Physics, University of North Carolina–Charlotte, Charlotte, NC 28223, USA
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Abstract

A new one-dimensional analysis of the collective interaction in a free-electron laser with combined helical wiggler and uniform axial magnetic fields is presented. Maxwell's curl relations and the cold-fluid equations are employed, with the appropriate form of solution for right and left circularly polarized electromagnetic waves and space-charge waves. A set of three linear homogeneous algebraic equations for the electric field amplitudes of the three propagating waves is derived. This set may be employed to obtain the general dispersion relation in the form of a tenth-degree polynomial equation. With the left circular wave assumed to be nonresonant, the dispersion relation reduces to a seventh-degree polynomial equation corresponding to four space-charge modes and three right circular modes. The results of a numerical study of the spatial growth rate and radiation frequency are presented.

Type
Research Article
Information
Journal of Plasma Physics , Volume 66 , Issue 5 , November 2001 , pp. 301 - 313
Copyright
© 2001 Cambridge University Press

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