Single Electron Dynamic of Microwave Undulator

The analytical and numerical calculations for the dynamic of single electron and beam in RF undulator have been conducted and compared. The transverse and longitudinal velocity, trajectory, energy variation, and the spontaneous radiation are studied. It is found that the forward and backward wave (FW/BW) components have different contribution on electron motion and radiation, most of the energy spread comes from FW component, in other words, the effect of FW on modulating the electron energy is much stronger than that of BW for the same undulating-amplitude value, which mechanism has been analyzed. INTRODUCTION Compared to conventional static magnetic undulators,[1] RF undulators have obvious advantages[2-6] in variable polarization of spontaneous radiation, and weak influence of wakefield due to large aperture. The electron dynamics of an RF undulator have special character due to the complex electric-magnetic modes; the HE11 mode, which has a low loss on walls, is selected, and the dynamic is researched both analytically and numerically. DYNAMICS FOR RF UNDULATOR HE11 Mode in the Corrugated Waveguide The structure of the corrugated waveguide is shown in Fig.1(a).