The relativistic electron nonlinear orbit is investigated for a combined electrostatic plasma wave wiggler and an axial guide magnetic field free electron laser near magnetoresonance. Through simplification, the perpendicular orbit equation is reduced to be identical to the wave‐driven nonlinear oscillator equation [R. C. Davidson, Phys. Lett. A 126, 21 (1987)] but with different expressions of parameters. It is found that the maximum perpendicular orbit excursion Δxmax is in proportion to (aw/γ0)1/3, which is largely determined by the nonlinear effect, where aw is the wiggler strength and γ0 is the initial relativistic factor. The analytical results are in good agreement with the numerical calculation for small ratio of aw to γ0.
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© 1993 American Institute of Physics.
1993
American Institute of Physics
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