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Effects of finite radial geometry on free‐electron‐laser instability with a longitudinal wiggler field

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2 Author(s)
Mishra, G. ; Physics Department, Indian Institute of Technology, New Delhi, India, 110016 ; Tripathi, V.K.

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The theory of free‐electron‐laser instability for a tenuous relativistic electron beam propagating parallel to a longitudinal wiggler field has been extended to include the influence of finite radial geometry on its stability properties. The growth rate of the instability shows a sensitive dependence on (ν/γ)1/3, where ν is the Budker parameter and γ is the beam energy. The growth rate increases with increasing beam intensity. However, the instability bandwidth with respect to the beam location inside the waveguide decreases for beams with somewhat higher ν/γ values. The instability is broadband for several harmonics excited.

Published in:

Journal of Applied Physics  (Volume:67 ,  Issue: 10 )

Date of Publication:

May 1990

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