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Title: A method for simultaneous linear optics and coupling correction for storage rings with turn-by-turn beam position monitor data

Abstract

Here, we propose a method to simultaneously correct linear optics errors and linear coupling for storage rings using turn-by-turn (TbT) beam position monitor (BPM) data. The independent component analysis (ICA) method is used to isolate the betatron normal modes from the measured TbT BPM data. The betatron amplitudes and phase advances of the projections of the normal modes on the horizontal and vertical planes are then extracted, which, combined with dispersion measurement, are used to fit the lattice model. The fitting results are used for lattice correction. Finally, the method has been successfully demonstrated on the NSLS-II storage ring.

Authors:
 [1];  [2]
  1. Brookhaven National Lab. (BNL), Upton, NY (United States)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States)
Publication Date:
Research Org.:
Brookhaven National Laboratory (BNL), Upton, NY (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22)
OSTI Identifier:
1340367
Report Number(s):
BNL-112293-2016-JA
Journal ID: ISSN 0168-9002
Grant/Contract Number:
SC00112704; AC02–98CH10886; AC02–76SF00515
Resource Type:
Journal Article: Accepted Manuscript
Journal Name:
Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment
Additional Journal Information:
Journal Volume: 828; Journal Issue: C; Journal ID: ISSN 0168-9002
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
43 PARTICLE ACCELERATORS; optics correction; turn-by-turn; BPM

Citation Formats

Yang, Xi, and Huang, Xiaobiao. A method for simultaneous linear optics and coupling correction for storage rings with turn-by-turn beam position monitor data. United States: N. p., 2016. Web. doi:10.1016/j.nima.2016.05.020.
Yang, Xi, & Huang, Xiaobiao. A method for simultaneous linear optics and coupling correction for storage rings with turn-by-turn beam position monitor data. United States. doi:10.1016/j.nima.2016.05.020.
Yang, Xi, and Huang, Xiaobiao. 2016. "A method for simultaneous linear optics and coupling correction for storage rings with turn-by-turn beam position monitor data". United States. doi:10.1016/j.nima.2016.05.020. https://www.osti.gov/servlets/purl/1340367.
@article{osti_1340367,
title = {A method for simultaneous linear optics and coupling correction for storage rings with turn-by-turn beam position monitor data},
author = {Yang, Xi and Huang, Xiaobiao},
abstractNote = {Here, we propose a method to simultaneously correct linear optics errors and linear coupling for storage rings using turn-by-turn (TbT) beam position monitor (BPM) data. The independent component analysis (ICA) method is used to isolate the betatron normal modes from the measured TbT BPM data. The betatron amplitudes and phase advances of the projections of the normal modes on the horizontal and vertical planes are then extracted, which, combined with dispersion measurement, are used to fit the lattice model. The fitting results are used for lattice correction. Finally, the method has been successfully demonstrated on the NSLS-II storage ring.},
doi = {10.1016/j.nima.2016.05.020},
journal = {Nuclear Instruments and Methods in Physics Research. Section A, Accelerators, Spectrometers, Detectors and Associated Equipment},
number = C,
volume = 828,
place = {United States},
year = 2016,
month = 5
}

Journal Article:
Free Publicly Available Full Text
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  • We propose a method to simultaneously correct linear optics errors and linear coupling for storage rings using turn-by-turn (TbT) beam position monitor (BPM) data. The independent component analysis (ICA) method is used to isolate the betatron normal modes from the measured TbT BPM data. The betatron amplitudes and phase advances of the projections of the normal modes on the horizontal and vertical planes are then extracted, which, combined with dispersion measurement, are used to fit the lattice model. Furthermore, the fitting results are used for lattice correction. Our method has been successfully demonstrated on the NSLS-II storage ring.
  • We propose a method to simultaneously correct linear optics errors and linear coupling for storage rings using turn-by-turn (TbT) beam position monitor (BPM) data. The independent component analysis (ICA) method is used to isolate the betatron normal modes from the measured TbT BPM data. The betatron amplitudes and phase advances of the projections of the normal modes on the horizontal and vertical planes are then extracted, which, combined with dispersion measurement, are used to fit the lattice model. The fitting results are used for lattice correction. The method has been successfully demonstrated on the NSLS-II storage ring.
  • Coherent transverse beam oscillations in the Tevatron were analyzed with the model-independent analysis (MIA) technique. This allowed one to obtain the model-independent values of coupled betatron amplitudes, phase advances, and dispersion function around the ring from a single dipole kick measurement. In order to solve the MIA mode mixing problem which limits the accuracy of determination of the optical functions, we have developed a new technique of rotational MIA mode untangling. The basic idea is to treat each beam position monitor (BPM) as two BPMs separated in a ring by exactly one turn. This leads to a simple criterion ofmore » MIA mode separation: the betatron phase advance between any BPM and its counterpart shifted by one turn should be equal to the betatron tune and therefore should not depend on the BPM position in the ring. Furthermore, we describe a MIA-based technique to locate vibrating magnets in a storage ring.« less