Global tuning knobs for the SLC final focus

The beam phase space at the exit of a given transport line generally depends on the incoming beam conditions, and thus in order to adjust the beam parameters at the exit of the line requires a prior knowledge of the initial beam parameters. The same is generally true for final focus systems. A tuning algorithm for β matching the SLC final focus is reported here in which no prior knowledge of the exact incoming phase space is required. Only a single beam size diagnostic located at either the interaction point (IF) or an image of the IP is required, together with a knowledge of the linear lattice from the quadrupoles to the tuning point. The algorithm is presented within the Lie Algebra framework. Although the algorithm is presented here is specific to linear collider final focus systems, the technique is generally applicable to any beamline