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Title: Strong wiggler field assisted amplification in a second-harmonic waveguide free electron laser
Authors: Zhong, Xiehe
Kong, Michael G.
Keywords: Free electron lasers
Harmonic generation
Masers
Issue Date: 2002
Publisher: © IEEE
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.
Abstract: 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.
Description: 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.
Version: Published
DOI: 10.1109/TPS.2002.1024261
URI: https://dspace.lboro.ac.uk/2134/5220
ISSN: 0093-3813
Appears in Collections:Published Articles (Electronic, Electrical and Systems Engineering)

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