CSR INCLUDING SHIELDING IN THE BEAM DYNAMICS CODE BMAD

Short bunches radiate coherently at wavelengths that are longer than their bunch length. This radiation can catch up with the bunch in bends and the electromagnetic elds can become large enough to signicantly damage longitudinal and transverse bunch properties. This is relevant for many accelerators that rely on bunch compression. It is also im- portant for Energy Recovery Linacs, where spent beams are decelerated by a large factor increasing the relative energy spread and hence increasing the impact of wake elds. In this paper we show how the beam dynamics code Bmad computes the effect of CSR and how the shielding ef- fect of vacuum chambers is included by the method of im- age charges. We compare the results to established codes: to elegant for cases without shielding and to a numerical solution of simplied Maxwell's equations, as well as to analytical CSR-wake formulas. Good agreement is gener- ally found.