Abstract
We present a new method to accurately calculate point-charge geometric wakefields and/or short-bunch wake potentials from wake potentials due to a much longer bunch, typically obtained with a time-domain electromagnetic (EM) field solver. By allowing a long bunch in the EM solver, this method can significantly reduce the need for computer resources as well as drastically shorten the computing time. After explaining the method we give examples of longitudinal wakefield calculations for several 2D accelerator structures of various complexity.
Highlights
Knowledge of wakefields, and in particular geometric wakefields, is critically important for understanding accelerator beam dynamics
While analytical solutions are known for a number of simple geometries, detailed wakefield calculations for realistic vacuum chamber components are typically done utilizing time-domain electromagnetic (EM) field solvers
These, by design, calculate the fields due to finite length bunches, and one is forced to use extremely fine meshes to compute wakes at small distances. This is where the wakes are usually dominated by singularities, so that a wake potential due a bunch of rms length scales as WðzÞ / Àq, q > 0 [1,2]
Summary
In particular geometric wakefields, is critically important for understanding accelerator beam dynamics. These, by design, calculate the fields due to finite length bunches, and one is forced to use extremely fine meshes (small fraction of the bunch length) to compute wakes at small distances. Since g is often much longer than the shortest length scale to which wakefields need to be resolved, applying this method results in significant savings of CPU time, and/or it allows one to overcome computer memory limitations. Capable of accurately calculating finite length bunch wake potentials could be used by our method
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