Small-Signal Gain of a FEL (Free Electron Laser) in a Resonator Gaussian Mode.

摘要

An analytical expression is presented for the small signal gain of a Free Electron Laser (FEL) in the presence of a gaussian mode. The one-dimensional Vlasov equation is used to describe the electron beam evolution. The perturbative result is valid for small values of the parameter q(length of the undulator L divided by the Rayleigh range z sub R.