Soliton Type Solutions for Electromagnetic Wiggler Free Electron Laser

Abstract

Abstract: The nonlinear electromagnetic wave propagation in a system consisting of a relativistic cold-electron beam propagating through an electromagnetic wiggler is solved. A set of coupled nonlinear ordinary differential equations is derived by coordinate transformation to the wiggler coordinates. Soliton-type solutions in the form of coupled electromagnetic and plasma waves are presented numerically, which may represent possible nonlinear saturated states of the electromagnetic wiggler free-electron laser instability. It is shown that the soliton solutions become an eigenvalue problem in the wiggler frequency , given a fixed set of parameters.