Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevSTAB.10.084401
Title: Time evolution of coupled-bunch modes from beta function variation in storage rings
Authors: Hock, K.M 
Wolski, A.
Issue Date: 2007
Citation: Hock, K.M, Wolski, A. (2007). Time evolution of coupled-bunch modes from beta function variation in storage rings. Physical Review Special Topics - Accelerators and Beams 10 (8) : 84401. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevSTAB.10.084401
Rights: Attribution 4.0 International
Abstract: We present an analytical and numerical study of the equations of motion for bunches coupled by transverse wakefields. We base our study on a recent lattice design for the damping rings in the baseline configuration of the International Linear Collider. Using the macroparticle model, and assuming resistive wall wakefield coupling, we present numerical results on the time evolution of the multibunch modes. Decay modes display growth after initial decay, and mode amplitudes exhibit high-frequency oscillations. These phenomena are not expected if the beta function is assumed to have a constant, averaged value. We show analytically that they can come from coupling between modes caused by variation of the beta function in a real lattice. The effect is shown to be comparable to the effect of a nonuniform fill pattern and significantly larger than that of the higher-order mode wakefield localized in the rf cavities. Turning to the case of constant beta function, we develop a more complete treatment of the equations of motion. We derive general formulas for the bunch trajectories, and show that such formulas can only be valid in the limit of small wakefield coupling. © 2007 The American Physical Society.
Source Title: Physical Review Special Topics - Accelerators and Beams
URI: https://scholarbank.nus.edu.sg/handle/10635/181034
ISSN: 1098-4402
DOI: 10.1103/PhysRevSTAB.10.084401
Rights: Attribution 4.0 International
Appears in Collections:Staff Publications
Elements

Show full item record
Files in This Item:
File Description SizeFormatAccess SettingsVersion 
10_1103_PhysRevSTAB_10_084401.pdf1.69 MBAdobe PDF

OPEN

NoneView/Download

SCOPUSTM   
Citations

3
checked on May 19, 2022

Page view(s)

120
checked on May 12, 2022

Google ScholarTM

Check

Altmetric


This item is licensed under a Creative Commons License Creative Commons