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Electron storage rings are the most effective sources of synchrotron radiation. The required extremely low beam emittance makes a very careful design of the beam optics necessary including the chromatic corrections. This adds nonlinear magnetic fields reducing the dynamic aperture for the beam. An example of low emittance optics is the modified Chasman-Green lattice of the ESRF. Synchrotron radiation with extremely high brilliance is produced by undulators and wigglers. These devices require special straight insertions.
Klaus Wille
"Design Considerations For Storage Rings For Synchrotron Radiation", Proc. SPIE 0733, Soft X-Ray Optics and Technology, (1 January 1986); https://doi.org/10.1117/12.964894
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Klaus Wille, "Design Considerations For Storage Rings For Synchrotron Radiation," Proc. SPIE 0733, Soft X-Ray Optics and Technology, (1 January 1986); https://doi.org/10.1117/12.964894