Beam-based accelerator modeling and control

Beam position measurements can be used to precisely calibrate accelerator optics as well as calibrate the beam position monitors themselves. Beam-based alignment techniques are essential with short wavelength FELs for aligning quadrupoles, calibrating BPM offsets, and achieving tight tolerances on the electron trajectory. Model independent analysis of pulse by pulse trajectories can locate error sources in linear accelerators. Turn-by-turn BPM measurements of betatron oscillations in storage rings provide a precise diagnostic of linear optics-both uncoupled and coupled. Analysis of the measured orbit response matrix is another powerful technique for debugging and correcting storage ring optics and coupling. This tutorial will give an introduction to these various beam-based techniques.