Betatron phase and nonlinear lattice correction
Abstract
Betatron phase measured from excited oscillation can be used to correct the beta function and the nonlinear lattice. With an improved algorithm the measurement precision has achieved 1 mrad (rms), or equivalently, 0.3% of beta beat at NSLS-II. The beta beating can be corrected to 1% in less than half an hour. This precise technique can be applied to the nonlinear lattice correction as well. The betatron phase probed by an off-axis beam provides information on the sextupole strength. In comparison with the model the nominal strength can be restored. It was shown that the proposed scheme treated all the leading order resonance driving terms generated by sextupoles, as well as the detuning terms and the nonlinear chromaticity. In conclusion, at NSLS-II a half percent sextupole correction led to a 15% increase of the dynamic aperture.
- Authors:
- Publication Date:
- Research Org.:
- Brookhaven National Lab. (BNL), Upton, NY (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES)
- OSTI Identifier:
- 1463928
- Alternate Identifier(s):
- OSTI ID: 1475164
- Report Number(s):
- BNL-209095-2018-JAAM
Journal ID: ISSN 2469-9888; PRABCJ; 081001
- Grant/Contract Number:
- AC02-98CH10886; SC0012704
- Resource Type:
- Published Article
- Journal Name:
- Physical Review Accelerators and Beams
- Additional Journal Information:
- Journal Name: Physical Review Accelerators and Beams Journal Volume: 21 Journal Issue: 8; Journal ID: ISSN 2469-9888
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE
Citation Formats
Guo, Weiming, Hidaka, Yoshiteru, Willeke, Ferdinand, and Yang, Xi. Betatron phase and nonlinear lattice correction. United States: N. p., 2018.
Web. doi:10.1103/PhysRevAccelBeams.21.081001.
Guo, Weiming, Hidaka, Yoshiteru, Willeke, Ferdinand, & Yang, Xi. Betatron phase and nonlinear lattice correction. United States. https://doi.org/10.1103/PhysRevAccelBeams.21.081001
Guo, Weiming, Hidaka, Yoshiteru, Willeke, Ferdinand, and Yang, Xi. Fri .
"Betatron phase and nonlinear lattice correction". United States. https://doi.org/10.1103/PhysRevAccelBeams.21.081001.
@article{osti_1463928,
title = {Betatron phase and nonlinear lattice correction},
author = {Guo, Weiming and Hidaka, Yoshiteru and Willeke, Ferdinand and Yang, Xi},
abstractNote = {Betatron phase measured from excited oscillation can be used to correct the beta function and the nonlinear lattice. With an improved algorithm the measurement precision has achieved 1 mrad (rms), or equivalently, 0.3% of beta beat at NSLS-II. The beta beating can be corrected to 1% in less than half an hour. This precise technique can be applied to the nonlinear lattice correction as well. The betatron phase probed by an off-axis beam provides information on the sextupole strength. In comparison with the model the nominal strength can be restored. It was shown that the proposed scheme treated all the leading order resonance driving terms generated by sextupoles, as well as the detuning terms and the nonlinear chromaticity. In conclusion, at NSLS-II a half percent sextupole correction led to a 15% increase of the dynamic aperture.},
doi = {10.1103/PhysRevAccelBeams.21.081001},
journal = {Physical Review Accelerators and Beams},
number = 8,
volume = 21,
place = {United States},
year = {Fri Aug 10 00:00:00 EDT 2018},
month = {Fri Aug 10 00:00:00 EDT 2018}
}
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Works referenced in this record:
Correction of multiple nonlinear resonances in storage rings
journal, October 2008
- Bartolini, R.; Martin, I. P. S.; Rowland, J. H.
- Physical Review Special Topics - Accelerators and Beams, Vol. 11, Issue 10
Betatron phase and coupling correction at the Cornell Electron/Positron Storage Ring
journal, October 2000
- Sagan, D.
- Physical Review Special Topics - Accelerators and Beams, Vol. 3, Issue 10
The measure of chaos by the numerical analysis of the fundamental frequencies. Application to the standard mapping
journal, May 1992
- Laskar, Jacques; Froeschlé, Claude; Celletti, Alessandra
- Physica D: Nonlinear Phenomena, Vol. 56, Issue 2-3
Comparison of linear optics measurement and correction methods at the Swiss Light Source
journal, January 2013
- Aiba, M.; Böge, M.; Chrin, J.
- Physical Review Special Topics - Accelerators and Beams, Vol. 16, Issue 1
Improving the precision of linear optics measurements based on turn-by-turn beam position monitor data after a pulsed excitation in lepton storage rings
journal, August 2017
- Malina, L.; Coello de Portugal, J.; Persson, T.
- Physical Review Accelerators and Beams, Vol. 20, Issue 8
Application of independent component analysis to Fermilab Booster
journal, June 2005
- Huang, Xiaobiao; Lee, S. Y.; Prebys, Eric
- Physical Review Special Topics - Accelerators and Beams, Vol. 8, Issue 6
Amplitude dependent shift of betatron oscillation center
journal, June 2014
- Shoji, Yoshihiko; Takao, Masaru; Nakamura, Takeshi
- Physical Review Special Topics - Accelerators and Beams, Vol. 17, Issue 6
Online optimization of storage ring nonlinear beam dynamics
journal, August 2015
- Huang, Xiaobiao; Safranek, James
- Physical Review Special Topics - Accelerators and Beams, Vol. 18, Issue 8
Experimental determination of storage ring optics using orbit response measurements
journal, March 1997
- Safranek, J.
- Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 388, Issue 1-2
Experimental test of coherent betatron resonance excitations
journal, November 1997
- Bai, M.; Lee, S. Y.; Glenn, J. W.
- Physical Review E, Vol. 56, Issue 5
Adiabaticity of the ramping process of an ac dipole
journal, February 2005
- Tomás, R.
- Physical Review Special Topics - Accelerators and Beams, Vol. 8, Issue 2
Fast and precise technique for magnet lattice correction via sine-wave excitation of fast correctors
journal, May 2017
- Yang, X.; Smaluk, V.; Yu, L. H.
- Physical Review Accelerators and Beams, Vol. 20, Issue 5
Calibration of the nonlinear ring model at the Diamond Light Source
journal, May 2011
- Bartolini, R.; Martin, I. P. S.; Rehm, G.
- Physical Review Special Topics - Accelerators and Beams, Vol. 14, Issue 5
Review of linear optics measurement and correction for charged particle accelerators
journal, May 2017
- Tomás, Rogelio; Aiba, Masamitsu; Franchi, Andrea
- Physical Review Accelerators and Beams, Vol. 20, Issue 5
On-line control of the nonlinear dynamics for synchrotrons
journal, July 2015
- Bengtsson, J.; Martin, I. P. S.; Rowland, J. H.
- Physical Review Special Topics - Accelerators and Beams, Vol. 18, Issue 7
First simultaneous measurement of sextupolar and octupolar resonance driving terms in a circular accelerator from turn-by-turn beam position monitor data
journal, July 2014
- Franchi, A.; Farvacque, L.; Ewald, F.
- Physical Review Special Topics - Accelerators and Beams, Vol. 17, Issue 7
Generating picosecond x-ray pulses in synchrotron light sources using dipole kickers
journal, February 2007
- Guo, W.; Yang, B.; Wang, C. -x.
- Physical Review Special Topics - Accelerators and Beams, Vol. 10, Issue 2