Varying chromaticity: A damping mechanism for the transverse head-tail instability

Journal Article · Wed Oct 01 00:00:00 EDT 1997 · Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

DOI:https://doi.org/10.1103/PhysRevE.56.4695· OSTI ID:632558

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

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

A detailed 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 Lab. (LBNL), Berkeley, CA (United States)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC03-76SF00098; FG03-95ER40936
• OSTI ID: 632558
• Report Number(s): LBNL-39717; ISSN 1063-651X; TRN: 98:006623
• Journal Information: Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 56, Issue 4; Other Information: PBD: Oct 1997
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
66 PHYSICS
BEAMS
INSTABILITY
LANDAU DAMPING
NUMERICAL ANALYSIS
SYNCHROTRONS
ROTATION
BETATRONS