A one-dimensional and nonlinear simulation of a free-electron laser with a prebunched
electron beam, a planar wiggler, and ion-channel guiding is presented. Using Maxwell's
equations and full Lorentz force equation of motion for the electron beam, a set of coupled
nonlinear differential equations is derived in slowly varying amplitude and wave number
approximation and is solved numerically. This set of equations describes self-consistently
the longitudinal dependence of radiation amplitude, growth rates, space-charge amplitude …