Lattice Function Measurement with TBT BPM Data

At Fermilab a procedure using data from TBT BPM system to measure the lattice function of a synchrotron has been developed. The betatron oscillation recorded by the BPM system is fitted to obtain beam parameters x, x', y, y', and ∆p/p. These TBT beam parameters (x, x') or (y, y') are fitted to ellipses to obtain the lattice function β, α, and the emittance associated with the betatron amplitude. Fitting the BPM data gives information useful for diagnosing BPM system calibration, noise level and polarity. Other benefits include TBT tune calculation and x-y coupling analysis.