Beams Document 2589-v3

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Studies of the stability of the Dispersion Free Steering method

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Paul Lebrun
Updated by:
Paul Lebrun
Document Created:
15 Dec 2006, 09:58
Contents Revised:
24 Jan 2007, 11:20
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24 Jan 2007, 11:20
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06 Jan 2007, 09:45
15 Dec 2006, 09:58
The Dispersion Free Steering (DFS) method is studied in the Tesla Linac. Although obsolete, this linear accelerator is
very similar to either the second stage of the International Linear Collider (ILC) bunch compressor, or the ILC Main
Linac. The CHEF tool-kit is used and has been bench-marked against Merlin. Although most of the calculations have been
done on a static lattice, algorithms discussed here are required to convergence towards a stable solution. It is shown than
in absence of cavity tilts (rotations on the YZ plane), for the seed studied at least, DFS provide a unique and stable
solution with negligible emittance growth. This is true in the static limit, independently of the BPM unknown offsets and the BPM resolution. If cavity tilts are about 200 to 300 micro-radiant, the DFS solution is no longer unique and
significant emittance occurs as well. In presence of perturbations such as ground motion, these DFS solutions will be more difficult to stabilize. Also, such DFS solutions do not allow us to determine the BPM scale factor and offset with good accuracy. Therefore, it is suggested to consider using movers on quadrupole/BPM assemblies, and the support system for the cavities. Detailed justifications for these movers are given.
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