Abstract
Most studies of Coherent Synchrotron Radiation (CSR) have only considered the radiation from independent dipole magnets. However, in the damping rings of future linear colliders, a large fraction of the radiation power will be emitted in damping wigglers. In this paper, the longitudinal wakefield and impedance due to CSR in a wiggler are derived in the limit of a large wiggler parameter $K$. After an appropriate scaling, the results can be expressed in terms of universal functions, which are independent of $K$. Analytical asymptotic results are obtained for the wakefield in the limit of large and small distances, and for the impedance in the limit of small and high frequencies.
Highlights
Many modern advanced accelerator projects [1,2,3] call for short bunches with low emittance and high peak current where coherent synchrotron radiation (CSR) effects may play an important role
[6 –17] over the past few years where the focus has been on the magnetic bunch compressors required to obtain the high peak currents. In addition to these single-pass cases, it is possible that CSR might cause a microwavelike beam instability in storage rings
The previous study of the CSR induced instability assumed that the impedance is generated by the synchrotron radiation of the beam in the storage ring bending magnets [18]
Summary
Many modern advanced accelerator projects [1,2,3] call for short bunches with low emittance and high peak current where coherent synchrotron radiation (CSR) effects may play an important role. The stringent beam requirements needed for short wavelength selfamplified spontaneous emission free-electron lasers have led to intensive theoretical and experimental studies [6 –17] over the past few years where the focus has been on the magnetic bunch compressors required to obtain the high peak currents. In addition to these single-pass cases, it is possible that CSR might cause a microwavelike beam instability in storage rings. The previous study of the CSR induced instability assumed that the impedance is generated by the synchrotron radiation of the beam in the storage ring bending magnets [18].
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