Abstract

A one-dimensional free-electron laser code has been written that includes harmonic generation. In this code the electrons are driven by a spatially-averaged superposition of the fundamental and its overtones. The waves are driven by the Fourier-analyzed transverse current. The initial wave amplitude at all harmonics originates from a stochastic placement of particles. We show that when the overtones are small compared to the fundamental, a self-consistent description is not necessary, thereby reducing the computational complexity.

© 1986 Optical Society of America