Abstract
A theory of self-fields in a one-dimensional helical wiggler free electron laser with ion-channel guiding and axial magnetic field is presented. The steady-state orbits under the influence of self-field are derived and discussed. The Φ function that determines the rate of change of axial velocity with energy is derived. The numerical results show the effects of self-fields and the two electron-beams guiding devices (ion-channel and axial magnetic field) on the trajectories when used separately and simultaneously. The study shows that new unstable orbits, in the first part of the group I and II orbits, are found. A detailed stability analysis of orbits is presented.
Highlights
A Raman free-electron laser (FEL) produces coherent radiation by passage of a cold intense relativistic electron beam through a wiggler magnetic field which is spatially periodic along the beam axis
The effects of selffields on the stability of steady-state trajectories were studied in a FEL with a one-dimensional helical wiggler and axial magnetic field [23, 24] or ion-channel guiding [25, 26]
The purpose of this paper is to study the effects of the self-fields on electron trajectories in a FEL with ion-channel guiding and axial magnetic field
Summary
A Raman free-electron laser (FEL) produces coherent radiation by passage of a cold intense relativistic electron beam through a wiggler magnetic field which is spatially periodic along the beam axis. The steady-state trajectories for the electron in a FEL with an axial magnetic field and one-dimensional or three-dimensional helical wiggler were studied [1,2,3,4,5]. The effects of selffields on the stability of steady-state trajectories were studied in a FEL with a one-dimensional helical wiggler and axial magnetic field [23, 24] or ion-channel guiding [25, 26]. Electron trajectories and gain in a planar and helical wiggler FEL with ion-channel guiding and axial magnetic field were studied, detailed analysis of the stability and negative mass regimes were considered [27,28,29]. The purpose of this paper is to study the effects of the self-fields on electron trajectories in a FEL with ion-channel guiding and axial magnetic field. By assuming a relativistic electron moving along the z axis of a helical wiggler magnetic field and separating into components, we can write Eq (1) as dðc m vxÞ dt 1⁄4
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