Thesis defense of Stephan-Robert Kötter

The DELTA facility is a synchrotron light source located in Dortmund, Germany. Here, the TU Dortmund University operates a 1.5 GeV storage ring supplying radiation ranging from the THz to the hard X-ray regime for experiments in chemistry, biochemistry, solid-state physics and materials science. The ring is equipped with a slow orbit feedback (SOFB) that corrects the transverse orbit position using a set of steerer magnets. The orbit correction software acts as the feedback's controller. Until 2021, the ring used a program based on a customized singular value decomposition (SVD) approach for calculating corrections. Its replacement, which is better integrated into the experimental physics and industrial control system (EPICS) and also capable of two methods of energy correction, was implemented and commissioned to routine operation within the scope of this work. Additionally, the closed-orbit bilinear-exponential analysis (COBEA) algorithm was generalized to accept combinations of orbit response matrix columns, so-called response sets, as input. This enables the new response set t algorithm (RSFA) to extract the coupled beta functions and betatron phase advances as well as the scaled dispersion from orbit corrections. If it is integrated with the SOFB in an online tting approach, the RSFA will supply non-invasive measurements of these optical functions. The new orbit correction software and algorithm are described and evaluated in simulations as well as experimental studies.