Undulator spectra: Computer simulations and modeling

This paper presents a systematic study of the properties of spectra generated by transverse undulators in storage rings. These include far-field intensity spectra, polarization profiles, and phase-space effects. A systematic presentation of the ω-θ plot is made and practical formulas are given for estimating phase-space emittance effects in the far field. First, the above parameter studies are done for transverse undulators with ideal sinusoidal trajectories, then several results for actual, real-life trajectories are presented. Brief discussions of the limitations of prior undulator modelling are also given