Abstract
By considering the propagation of TM waves in a rectangular waveguide, the radiated power of a free electron laser is calculated during beam–wave interaction in a planar wiggler. A set of self-consistent equations are derived for discerption of this system which includes some electrostatic and electromagnetic fields, equation of motions and evolution equations of amplitude and phase. The evolution equations of amplitude and phase are determined using an averaging method on the wave equation. By writing a 3D simulation code, the variation in power during electron beam propagation is investigated and then the role of various ion channel density on efficiency is examined. Numerical results show that there is a significant increase in the radiation power of TM waves in comparison with the TE waves in the proposed configuration.
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