Impact of the Wiggler Coherent Synchrotron Radiation Impedance on the Beam Instability

Previous studies of the (Coherent Synchrotron Radiation) CSR induced longitudinal instability have been made using the CSR impedance due to dipole magnets, however, many storage rings include long wigglers where a large fraction of the synchrotron radiation is emitted. In this paper, the instability due to the CSR impedance from a wiggler is studied assuming a large wiggler parameter K. The primary consideration is a low frequency microwave-like instability, which arises near the pipe cut-off frequency. Finally, the optimization of the relative fraction of damping due to the wiggler systems is discussed for the damping rings in future linear colliders