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Electron orbits in combined electromagnetic wiggler and axial guide magnetic fields

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3 Author(s)
Freund, H.P. ; Science Applications International Corporation, McLean, VA, USA ; Kehs, R.A. ; Granatstein, V.L.

The single-particle orbits due to a large amplitude, backward propagating electromagnetic wave and an axial guide magnetic field are derived, and the stability of the orbits are discussed. The large amplitude electromagnetic wave acts like a magnetostatic wiggler in a free-electron laser. Two classes of orbit are found corresponding toOmega_{0} < gamma(omega_{w} + k_{w}upsilon_{parallel})andOmega_{0} > gamma(omega_{w} + K_{w}upsilon_{parallel}), where Ω0is the electron cyclotron frequency, ωwand kware the frequency and wave vector of the electromagnetic wave, γ is the relativistic factor, and υis the axial electron velocity. However, unlike the case of a magnetostatic wiggler, both classes of orbit are shown to be stable.

Published in:

Quantum Electronics, IEEE Journal of  (Volume:21 ,  Issue: 7 )