Numerical solution of the coupled Haïssinski equations for the equilibrium state of an arbitrary bunch train in an electron storage ring

We study the effects of the beam loadings in the main and harmonic cavities and short-range wakefields on the bunch lengthening performance, in an electron storage ring. The compensation of the main cavity beam loading is modeled by adjusting the RF generator voltage so that the total voltage from t...

Full description

Saved in:
Bibliographic Details
Published in:Nuclear instruments & methods in physics research. Section A, Accelerators, spectrometers, detectors and associated equipment Accelerators, spectrometers, detectors and associated equipment, 2021-08, Vol.1006, p.165434, Article 165434
Main Authors: He, Tianlong, Li, Weiwei, Bai, Zhenghe, Wang, Lin
Format: Article
Language:English
Subjects:
Collective effects
Harmonic cavity
Haïssinski equation
Storage ring
Wakefield
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We study the effects of the beam loadings in the main and harmonic cavities and short-range wakefields on the bunch lengthening performance, in an electron storage ring. The compensation of the main cavity beam loading is modeled by adjusting the RF generator voltage so that the total voltage from the main cavity for each bunch can get as close as possible to the desired effective accelerating voltage under the ideal main cavity assumption. A system of coupled Haïssinski equations, which determine the bunch positions and profiles in the equilibrium state for arbitrary beam-fill patterns, are derived and solved numerically by a relaxation iteration. The proposed method has advantages of being a simple algorithm, displaying effectiveness as well as good convergence. The parameters of the planned Advanced Light Source upgrade (ALS-U) storage ring are used to test the method and good agreement is obtained comparing with particle tracking simulations.
ISSN:0168-9002
1872-9576
DOI:10.1016/j.nima.2021.165434