Analytical account for a planar undulator performance in a constant magnetic field

Abstract

We analyze the influence of constant magnetic constituents on the radiation of high-energy electrons in a planar undulator. Broadening and spectrum shift effect of the constant field is compared with other common spectrum distortions in undulator radiation (UR) sources. Analytical formulation of the effect of the constant magnetic field enables us to obtain and study exact expressions for the UR intensity. They reveal the possibilities to influence off-the-axis effects and give practical recommendations for the undulators with radiation properties, best profitable for free-electron lasers.

Keywords:

• electron
• periodic magnetic field
• constant field constituent
• radiation
• losses
• energy spread
• divergence