In this project has been ended a theoretical study on free-electron laser with the electromagnetic wave wiggler. The electron trajectories were exanimate for the electromagnetic wiggler with and with out considering the self-field effects, using axial magnetic guiding and ion-channel guiding. Then, with extend the perturbation on the steady state electron trajectories have been investigated the stability with and without considering the self-fields effects.
In the next step motion by computation the pendulum equation of electron on the presence of radiation fields, the low signal gain were studied, and then the self-filed effects is calendared on the gain.
Then, the growth rate is commutated by using delivering the dispersion relation of electromagnetic wave wiggler in bout axial magnetic guiding and ion-channel guiding it is observed that in bout groups with the electromagnetic wiggler the growth rate is decreased in the presence of self fields. Also, it is calculated with ion-channel guiding.
Finally, the magnet static wigglers and electromagnetic wigglers by magneto static axial guiding and ion-channel guiding compared and the advantages of electromagnetic wave wiggler by ion-channel guiding is presented.