Coherent synchrotron radiation (CSR) in the infrared has been observed at several synchrotron light sources, usually in recurrent short bursts. At BESSY, in a setup with low momentum compaction, steady CSR has been reported. The main features of observations are reproduced in a picture of longitudinal dynamics based on the Vlasov-Fokker-Planck equation and a simple model of the shielded radiation impedance. We are attempting to extend this success to more difficult problems in CSR, for instance the question of micro-bunching in bunch compressors.


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