Effects of self-fields on electron trajectory and gain in two-stream electromagnetically pumped free-electron laser with ion channel guiding

A theory for the two-stream free-electron laser with an electromagnetic wiggler (EMW) and an ion channel guiding is developed.In the analysis,the effects of self-fields have been taken into account.The electron trajectories and the small signal gain are derived.The stability of the trajectories,the characteristics of the linear gain and the normalized maximum gain are studied numerically.The dependence of the normalized frequency ω corresponding to the maximum gain on the ion-channel frequency is presented.The results show that there are seven groups of orbits in the presence of the self-fields,which are similar to those reported in the absence of the self-fields.It is also shown that the normalized gains of 2 groups decrease while the rest increase with the increasing normalized ion-channel frequency.Furthermore,it is found that the two-stream instability and the self-field lead to a decrease in the maximum gain except for group 4.