Abstract

The solutions of the equations of electron motion in a free electron laser with an electromagnetic wiggler and axial guide magnetic field are always obtained with linearized approximation,1,2 in which electron energy factor v is restricted to a constant. In this paper the analytical solution of the perturbed trajectories of the nonlinear relativistic equations for such a system are analyzed with relativistic factor v variable. The electron motion equations have been solved numerically with a computer, and the results are consistent with the analytical solutions.

© 1990 Optical Society of America

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