Analysis of optical perturbations of the SLC arcs

This paper is an attempt to establish the analytical framework in solving optical perturbations in a transport line in general and will be applied to the SLC Arc as an example. The formulation the authors present here should be applicable to any transport system in a straightforward way. In Section 2 the equations of motion of perturbed betatron function and dispersion function are presented and the driving terms identified. In Section 3, the sources of possible field errors for SLC Arc system are discussed. Finally, the authors estimate the magnitudes of perturbations to the optical functions for SLC Arc in Section 4