Dechirper Wakefields for Short Bunches
Karl Bane, Gennady Stupakov

TL;DR
This paper derives simplified analytical models for wakefields in flat structures like dechirpers for short electron bunches, enabling quick estimates of energy loss, transverse kicks, and emittance growth in X-ray FELs.
Contribution
It introduces generalized short-bunch wake approximations valid for any flat structure with surface impedance, extending previous work to arbitrary transverse offsets.
Findings
Derived analytical short-range wake approximations for flat structures.
Validated approximations against full-length wake calculations for short bunches.
Provided practical estimates for energy loss, transverse kicks, and emittance growth.
Abstract
In previous work [1] general expressions, valid for arbitrary bunch lengths, were derived for the wakefields of corrugated structures with flat geometry, such as is used in the RadiaBeam/LCLS dechirper. However, the bunch at the end of linac-based X-ray FELs--like the LCLS--is extremely short, and for short bunches the wakes can be considerably simplified. In this work, we first derive analytical approximations to the short-range wakes. These are generalized wakes, in the sense that their validity is not limited to a small neighborhood of the symmetry axis, but rather extends to arbitrary transverse offsets of driving and test particles. The validity of these short-bunch wakes holds not only for the corrugated structure, but rather for any flat structure whose beam-cavity interaction can be described by a surface impedance. We use these wakes to obtain, for a short bunch passing through…
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