A Model for Analytical Description of Magnetic Field Effects and Losses in a Planar Undulator Radiation1

摘要

We analyze the influence of constant magnetic constituents on the radiation of high energy elec-trons in a planar undulator. Broadening and spectrum shift effect of the constant field is compared with other common spectrum distortions in 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-axis effects and give practical recommendations for the undulators with radiation properties, best profitable for free electron lasers. Several examples of undulators are considered, recommendations spe-cific for each case are given.