First test of orbit response matrix in proton storage ring

Abstract

The Orbit Response Matrix method is applied to experimentally determine the Cooler ring optics at the Indiana University Cyclotron Facility (IUCF). We have carried out two experiments in Oct. and Nov. 1996 to measure the orbit response of the IUCF Cooler Ring. An analysis software was adopted from the NSLS, BNL[1]. In our analysis, strength error in quadrupoles and steering dipoles, and amplifier gain in BPMs are included as fitting parameters. However, effects of the linear and non-linear coupling are excluded in our preliminary analysis. Since the resolution of our BPM system is of the order of 10 µm, we will address the effect of BPM resolution on the applicability of the orbit response matrix method in proton storage rings.

Calibration of the UVX LNLS storage ring optics using a linear response matrix theory

“…Such impressions proved itself naïve in face of the average distance between the experimental and model matrices, 980mm/rad in the vertical plane and 450 mm/rad in the horizontal one. This was far above the expected value of the matrix standard deviation even accounting for kick standard deviations and indicated that the inclusion of BPM and corrector gains was mandatory before quadrupole fitting [4]. The fitting was therefore performed in two stages, BPM and corrector gains first and then quadrupole and energy-shifts.…”