Beams Document 4295-v1

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Local Longitudinal Microwave Instability Limits During Bunch Rotation

Document #:
Beams-doc-4295-v1
Document type:
Note
Submitted by:
Kingyuen B. Ng
Updated by:
Kingyuen B. Ng
Document Created:
18 Feb 2013, 11:27
Contents Revised:
18 Feb 2013, 11:32
Metadata Revised:
18 Feb 2013, 11:48
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Beams-doc-4295-v0
18 Feb 2013, 11:27
Abstract:
Bunch width compression can be accomplished by rf rotating an elongated bunch with minimal energy spread. The formation of tails at the two bunch ends produces disconnected regions in many time-advance slices. The stability limits of longitudinal microwave growth for each time-advance slice of the beam will be affected. This effect is studied and the Keil-Schnell stability limits for such time-advance slices are derived. Application is made to the bunch-width compression in the Fermilab Compressor Ring, destined for pion and subsequently muon production.
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