Abstract:A systematic analysis of linear optics optimization using various independent methods has been performed. Three independent techniques, namely quadrupole variation, linear optics from closed orbits, and turn-by-turn measurement, have been studied at the Swiss Light Source. Furthermore, the performances are compared from various aspects including a direct comparison of the corrected optics. The limitations of the three independent methods are also presented.
“…Recent measurements at SLS and ALBA obtained an rms statistical error in the 1%-2% level [43,45] with a similar systematic error. In the Duke storage ring a 1% statistical resolution is demonstrated [49].…”
Section: K Modulationmentioning
confidence: 58%
“…Nevertheless, even when the LOCO fit is successful, the measured ORM after optics correction may not converge towards the model ORM of the design optics. This was observed at the SLS [43] and illustrates limitations of the parametrized lattice model to represent the real machine. Therefore, the uncertainty of the inferred β-beating should be comparable to the inferred β-beating when the convergence is not satisfactory.…”
“…K modulation has been successfully used to measure average beta functions in almost every accelerator, for example, ISR [12,17], LEP [38,39], HERA [40], RHIC [41,42], SLS [43], Tevatron [44], ALBA [45] and LHC [46,47].…”
Section: K Modulationmentioning
confidence: 99%
“…Third generation light sources often face this problem, and the quadrupole gradient errors found from LOCO fitting tend to be too vigorous [108] when a simple unconstrained fitting algorithm is employed. The use of SVD with a proper cut of the eigenvalue spectrum can reduce degeneracy problems provided the initial rms β-beating is not larger than ∼10% [43]. It is noted that the dispersion function is separately measured and included in the fitting procedure in these applications.…”
Measurement and correction of charged particle beam optics have been a major concern since the advent of strong focusing synchrotron accelerators. Traditionally, particle colliders have led the development of optics control based on turn-by-turn beam centroid measurements, while lepton storage rings have focused on closed-orbit-response matrix techniques. Recently, considerable efforts are being invested in comparing these techniques at different synchrotron radiation sources and colliders. An emerging class of less invasive techniques based on the optimization of performance-related observables is demonstrating a great potential. In this paper, a review of existing techniques is presented highlighting comparisons, relative merits and limitations.
“…Recent measurements at SLS and ALBA obtained an rms statistical error in the 1%-2% level [43,45] with a similar systematic error. In the Duke storage ring a 1% statistical resolution is demonstrated [49].…”
Section: K Modulationmentioning
confidence: 58%
“…Nevertheless, even when the LOCO fit is successful, the measured ORM after optics correction may not converge towards the model ORM of the design optics. This was observed at the SLS [43] and illustrates limitations of the parametrized lattice model to represent the real machine. Therefore, the uncertainty of the inferred β-beating should be comparable to the inferred β-beating when the convergence is not satisfactory.…”
“…K modulation has been successfully used to measure average beta functions in almost every accelerator, for example, ISR [12,17], LEP [38,39], HERA [40], RHIC [41,42], SLS [43], Tevatron [44], ALBA [45] and LHC [46,47].…”
Section: K Modulationmentioning
confidence: 99%
“…Third generation light sources often face this problem, and the quadrupole gradient errors found from LOCO fitting tend to be too vigorous [108] when a simple unconstrained fitting algorithm is employed. The use of SVD with a proper cut of the eigenvalue spectrum can reduce degeneracy problems provided the initial rms β-beating is not larger than ∼10% [43]. It is noted that the dispersion function is separately measured and included in the fitting procedure in these applications.…”
Measurement and correction of charged particle beam optics have been a major concern since the advent of strong focusing synchrotron accelerators. Traditionally, particle colliders have led the development of optics control based on turn-by-turn beam centroid measurements, while lepton storage rings have focused on closed-orbit-response matrix techniques. Recently, considerable efforts are being invested in comparing these techniques at different synchrotron radiation sources and colliders. An emerging class of less invasive techniques based on the optimization of performance-related observables is demonstrating a great potential. In this paper, a review of existing techniques is presented highlighting comparisons, relative merits and limitations.
“…Linear optics from closed orbit (LOCO) [1] is the standard method for optics measurements and corrections at the ALBA synchrotron [2]. Turn-by-turn measurements can provide faster optics measurements than LOCO and are of great interest also for other light sources [3][4][5][6]. Recently, efforts have been put in developing optics measurements based on beam position monitor (BPM) turn-by-turn data at ALBA.…”
The N beam position monitor method (N-BPM) which was recently developed for the LHC has significantly improved the precision of optics measurements that are based on BPM turn-by-turn data. The main improvement is due to the consideration of correlations for statistical and systematic error sources, as well as increasing the amount of BPM combinations which are used to derive the β-function at one location. We present how this technique can be applied at light sources like ALBA, and compare the results with other methods.
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.
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