Theory of Nonlinear Harmonic Generation in Free-Electron Lasers with Helical Wigglers

Details Theory of Nonlinear Harmonic Generation in Free-Electron Lasers with Helical Wigglers Theory of Nonlinear Harmonic Generation in Free-Electron Lasers with Helical Wigglers

2007-05-02

arxiv.org/abs/0705.0295v1

Nucl.Instrum.Meth.A581:856-865,2007

Physics

Optics

23 pages, 4 figures

Scientific paper

10.1016/j.nima.2007.08.152

Coherent Harmonic Generation (CHG), and in particular Nonlinear Harmonic Generation (NHG), is of importance for both short wavelength Free-Electron Lasers (FELs), in relation with the achievement of shorter wavelengths with a fixed electron-beam energy, and high-average power FEL resonators, in relation with destructive effects of higher harmonics radiation on mirrors. In this paper we present a treatment of NHG from helical wigglers with particular emphasis on the second harmonic. Our study is based on an exact analytical solution of Maxwell's equations, derived with the help of a Green's function method. In particular, we demonstrate that nonlinear harmonic generation (NHG) from helical wigglers vanishes on axis. Our conclusion is in open contrast with results in literature, that include a kinematical mistake in the description of the electron motion.

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