Numerical Calculation of Coherent Synchrotron Radiation Effects Using TraFiC4

Abstract

Coherent synchrotron radiation (CSR) occurs when short bunches travel on strongly bent trajectories. Its effects on high-quality beams can be severe and are well understood qualitatively. For quantitative results, however, one has to rely on numerical methods. There exist several simulation codes utilizing different approaches. We describe in some detail the code TraFiC4 developed at DESY for design and analysis purposes, which approaches the problem from first principles and solves the equations of motion either perturbatively or self-consistently. We present some calculational results and comparison with experimental data. Also, we give examples of how the code can be used to design beamlines with minimal emittance growth due to CSR.