Simulation of 4-Turn Algorithms for Reconstructing Lattice Optic Functions from Orbit Measurements

We describe algorithms for reconstructing tune, closed-orbit., beta-function and phase advance from four individ-ual turns of beam orbit, acquisition data, under the as-sumption of coherent, almost linear and uncoupled beta-tron oscillations. To estimate the beta-function at, and phase advance between, position monitors, we.require at least one anchor location consisting of two monitors sep-arated by a drift. The algorithms were submitted to a Monte Carlo analysis to find the likely measurement accu-racy of the optics functions in the KAON Factory Booster ring racetrack lattice, assuming beam position monitors with surveying and reading errors, and assuming an im-perfect lattice with gradient and surveying errors. Some of the results of this study[2] are reported.