@article{Steady-state electron trajectories in a free electron laser with ion-channel and axial magnetic field in the presence of self-fields_2023, volume={8}, url={https://oiccpress.com/journal-of-theoretical-and-applied-physics/article/steady-state-electron-trajectories-in-a-free-electron-laser-with-ion-channel-and-axial-magnetic-field-in-the-presence-of-self-fields/}, DOI={10.1007/S40094-014-0128-6}, abstractNote={AbstractA 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.}, number={2}, journal={Journal of Theoretical and Applied Physics}, publisher={OICC Press}, year={2023}, month={Nov.}, keywords={Electron laser, Fileds, Free, Ion, Self, State orbits, Steady, Axial magnetic field, Channel} }