EFFECTS OF LONGITUDINAL ELECTRIC SELF-FIELD ON THE ACCEPTABLE ENERGY SPREAD IN A FREE ELECTRON LASER

摘要

In a free electron laser the electron beam density is modulated longitudinally. The longitudinal electric self-field of the particles reduces the stable area in γ - Ψ phase space, where γ is the particle's energy in units of the rest energy and Ψ is the particle's phase with respect to the wave. A static, self-consistent calculation results in an analytic expression for the stable phase area with the electric self-field included.