Model - Independent Beam Dynamics Analysis

Using a singular value decomposition of a beamline matrix, composed of many beam position measurements for a large number of pulses, together with the measurement of pulse-by-pulse beam properties or machine attributes, the contributions of each variable to the beam centroid motion can be identi ed with a greatly improved resolution. The eigenvalues above the noise oor determine the number of signi cant physical variables. This method is applicable to storage rings, linear accelerators, and any system involving a number of sources and a larger number of sensors with unknown correlations. Applications are presented from the Stanford Linear Collider. submitted to The Physical Review Letters Supported by Department of Energy contract DE{AC03{76SF00515. Model-independent beam dynamics analysis J. Irwin, C.X. Wang, Y.T. Yan, K.L.F. Bane, Y. Cai, F.-J. Decker, M.G. Minty, G.V. Stupakov, F. Zimmermann Stanford Linear Accelerator Center, P.O. Box 4349, Stanford, CA 94309, U.S.A.