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Title: Self-consistent simulations and analysis of the coupled-bunch instability for arbitrary multibunch configurations

Journal Article · · Physical Review Accelerators and Beams
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A novel algorithm for self-consistent simulations of long-range wakefield effects has been developed and applied to the study of both longitudinal and transverse coupled-bunch instabilities at NSLS-II. The algorithm is implemented in the new parallel tracking code space (self-consistent parallel algorithm for collective effects) discussed in the paper. The code is applicable for accurate beam dynamics simulations in cases where both bunch-to-bunch and intrabunch motions need to be taken into account, such as chromatic head-tail effects on the coupled-bunch instability of a beam with a nonuniform filling pattern, or multibunch and single-bunch effects of a passive higher-harmonic cavity. The numerical simulations have been compared with analytical studies. For a beam with an arbitrary filling pattern, intensity-dependent complex frequency shifts have been derived starting from a system of coupled Vlasov equations. The analytical formulas and numerical simulations confirm that the analysis is reduced to the formulation of an eigenvalue problem based on the known formulas of the complex frequency shifts for the uniform filling pattern case.

Research Organization:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
AC02-98CH10886; SC00112704
OSTI ID:
1239436
Alternate ID(s):
OSTI ID: 1340422
Report Number(s):
BNL-113328-2016-JA; PRABFM; 024401
Journal Information:
Physical Review Accelerators and Beams, Vol. 19, Issue 2; ISSN 2469-9888
Publisher:
American Physical SocietyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 13 works
Citation information provided by
Web of Science

References (12)

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journal January 2016
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journal February 2016
Microbunching instability in single-pass systems using a direct two-dimensional Vlasov solver journal October 2007
Vlasov solver for longitudinal dynamics in beam delivery systems for x-ray free electron lasers journal May 2007
Microbunching instability in a chicane: Two-dimensional mean field treatment journal August 2009
New density estimation methods for charged particle beams with applications to microbunching instability journal July 2011
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An algorithm for the machine calculation of complex Fourier series journal May 1965
High energy electron linacs; application to storage ring RF systems and linear colliders conference January 1982
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Related Subjects

43 PARTICLE ACCELERATORS
NSLS-II
ALGORITHM
COLLECTIVE