Damping of the Transverse Head-Tail Instability by Periodic Modulation of the Chromaticity

Journal Article · Sun Jun 01 04:00:00 EDT 1997 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.78.4565· OSTI ID:531850

Cheng, W; Wurtele, J S ^[1]; Sessler, A M; Wurtele, J S ^[2]

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1. Department of Physics, University of California, Berkeley, Berkeley, California 94720 (United States)
2. Lawrence Berkeley National Laboratory, Berkeley, California 94720 (United States)

An analytical and numerical study of the suppression of the transverse head-tail instability by modulating the chromaticity over a synchrotron period is presented. We find that a threshold can be developed, and it can be increased to a value larger than the strong head-tail instability threshold. The stability criterion derived agrees very well with the simulations. The underlying physical mechanisms of the damping scheme are rotation of the head-tail phase such that the instability does not occur, and Landau damping due to the incoherent betatron tune spread generated by the varying chromaticity. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: Lawrence Berkeley National Laboratory
• Sponsoring Organization: USDOE
• DOE Contract Number: AC03-76SF00098; FG03-95ER40936
• OSTI ID: 531850
• Report Number(s): LBNL-39642
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 24 Vol. 78; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ANALYTICAL SOLUTION
BETATRONS
CHROMATIDS
INSTABILITY
LANDAU DAMPING
MODULATION
NUMERICAL SOLUTION
ROTATION
SYNCHROTRONS