Calculation of the Coherent Synchrotron Radiation Impedance from a Wiggler

Details Calculation of the Coherent Synchrotron Radiation Impedance from a Wiggler Calculation of the Coherent Synchrotron Radiation Impedance from a Wiggler

2003-01-30

arxiv.org/abs/physics/0301073v1

Phys.Rev.ST Accel.Beams 6 (2003) 040701

Physics

Accelerator Physics

10 pages, 8 figures

Scientific paper

10.1103/PhysRevSTAB.6.040701

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.

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