Physics – Accelerator Physics
Scientific paper
2005-08-08
Physics
Accelerator Physics
27 pages, 6 figures
Scientific paper
The generation of harmonic radiation through a non-linear mechanism driven by bunching at fundamental frequency is an important option in the operation of high gain Free-Electron Lasers (FELs). The use of harmonic generation at a large scale facility may result in achieving shorter radiation wavelengths for the same electron beam energy. This paper describes a theory of second harmonic generation in planar undulators with particular attention to X-Ray FELs (XFELs). Our study is based on an exact analytical solution of Maxwell equations, derived with the help of the Green's function method. On the contrary, up-to-date theoretical understanding of the second harmonic generation is only limited to some estimation of the total radiation power based on the source part of the wave equation. Moreover, we find that such part of the wave equation is presented with several incorrect manipulations among which is the omission of an important contribution. Our work yields correct parametric dependencies and specific predictions of additional properties such as polarization, angular distribution of the radiation intensity and total power. The most surprising prediction is the presence of a vertically polarized part of the second harmonic radiation, whereas up-to-date understanding assumes that the field is horizontally polarized. Altogether, this paper presents the first correct theory of second harmonic generation for high gain FELs.
Geloni Gianluca
Saldin Evgeni
Schneidmiller Evgeni
Yurkov Mikhail
No associations
LandOfFree
Exact Solution for the Second Harmonic Generation in XFELs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Exact Solution for the Second Harmonic Generation in XFELs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Exact Solution for the Second Harmonic Generation in XFELs will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-361748