Abstract
Based on continuously recorded beam positions and corrector excitations from, for example, a closed-orbit feedback system we describe an algorithm that continuously updates an estimate of the orbit response matrix. The speed of convergence can be increased by adding very small perturbations, so-called dither, to the corrector excitations. Estimates for the rate of convergence and the asymptotically achievable accuracies are provided.
Highlights
The orbit-response matrix relates changes of the dipole corrector magnets to orbit changes that are observed on the beam position monitor system
It is of paramount importance for maintaining stable beam positions in storage rings, which is typically accomplished by “slow” orbit correction systems [1,2,3,4] and “fast” feedback systems [5,6]
They either use a response matrix generated from a computer model of the accelerator or a measured matrix found by varying one corrector at a time and observing the ensuing changes with the beam position monitor (BPM) system
Summary
The orbit-response matrix relates changes of the dipole corrector magnets to orbit changes that are observed on the beam position monitor system It is of paramount importance for maintaining stable beam positions in storage rings, which is typically accomplished by “slow” orbit correction systems [1,2,3,4] and “fast” feedback systems [5,6]. They either use a response matrix generated from a computer model of the accelerator or a measured matrix found by varying one corrector at a time and observing the ensuing changes with the beam position monitor (BPM) system.
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