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Strong wiggler field assisted amplification in a second-harmonic waveguide free electron laser

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journal contribution
posted on 26.08.2009, 11:19 by Xiehe Zhong, Michael G. Kong
As a technique to reduce the size of compact waveguide free electron lasers (FELs) operated from microwave to the far infrared, a longitudinal interaction mechanism was recently proposed to operate waveguide FELs at the second harmonic. With a gain formulation based on Madey’s theorem in the limit of small wiggler field, it was shown analytically that second harmonic waveguide FELs can reduce significantly the electron energy required for radiation at a given frequency. As it is advantageous to operate second harmonic waveguide FELs with strong wiggler field, Madey’s theorem is used here to reformulate their interaction gain for strong wiggler fields up to [....] with the axial electron velocity Taylor expanded to the eighth order of the wiggler field. Given that Madey’s theorem has not been established for second harmonic waveguide FELs, their interaction gain is also formulated independently by solving their pendulum equation without recourse to Madey’s theorem. These two gain formulas are not analytically identical, but numerically they lead to an excellent agreement over a wide range of system parameters, thus confirming the applicability of Madey’s theorem. The interaction analyses presented form a thorough and detailed description of second harmonic waveguide FELs in the small-signal regime and for wiggler field that is both practical and beneficial.

History

School

  • Mechanical, Electrical and Manufacturing Engineering

Citation

ZHONG, X. and KONG, M.G., 2002. Strong wiggler field assisted amplification in a second-harmonic waveguide free electron laser. IEEE Transactions on Plasma Science, 30(2), pt. 2, pp. 630-638.

Publisher

© IEEE

Version

VoR (Version of Record)

Publication date

2002

Notes

This article was published in the journal, IEEE Transactions on Plasma Science [© 2002 IEEE] and is also available at: http://ieeexplore.ieee.org/ Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

ISSN

0093-3813

Language

en