Abstract
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 of 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.
Highlights
Turn-by-turn readings from beam position monitors (BPMs) in a storage ring are often used for accelerator optics measurements
Fourier transformation (FFT) amplitude of the vertical BPM signal is shown on the right
We applied model-independent analysis to the turn-byturn BPM measurements of coherent betatron oscillations excited by the transverse kicker in the Tevatron
Summary
Turn-by-turn readings from beam position monitors (BPMs) in a storage ring are often used for accelerator optics measurements. In the Tevatron collider the betatron tunes are close to the linear coupling resonance and normally synchrobetatron sidebands overlap Owing to this fact, it is difficult to use harmonic analysis for calculation of the optical functions from turn-by-turn measurements. Rotational mode untangling proposed in [4] and the independent component analysis (ICA) [5] approach based on some statistical criterion of mutual signal independence. Both these methods rely on Fourier analysis as a way to confirm that the mode separation algorithm works.
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