Abstract
AbstractThis paper investigates a free electron laser using stimulated electromagnetic wave scattering, i.e., stimulated Raman scattering by the electron plasma (negative energy) wave excited in a relativistic electron beam. Rigorous analysis of its oscillation property is given. Special attention has been given to the output power saturation with decreasing pump power and the energy relations. For simplicity, a one‐dimensional relativistic electron beam is considered and a strong plane EM wave (pump wave) impinging on the electron beam from the opposite direction is assumed. First, Maxwell's equations, the relativistic motion equation for the electron, and the continuum equation for the beam are used. Oscillatory components up to the second order are considered. The mode‐coupling equations for the pump, scattered and the electron plasma (negative energy) waves are derived and rigorous solutions are sought. Energy relations involving these three waves are formulated. Due to the effect of the pump wave, energy is found to transfer from the electron beam to the scattered wave and the manner in which the scattered wave grows gradually is clarified quantitatively.
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