Development of Optics Measurement Methods for Circular Accelerators

Linear optics corrections in circular particle accelerators have achieved remarkable performance in the last years pushing the precision and accuracy of the measurement and correction of machine parameters further. But development of accelerator technology is not resting either and the introduction of next generation light sources and the design and construction of new colliders and future projects constantly demand more advanced and precise measurement methods. This work presents the development and enhancement of three distinct optics measurement methods. The first one is a more precise, more accurate and faster measurement method of the 𝛽 function, an optics parameter that presents a direct observable for the focusing at any given point in the machine. Constraints on the tolerances of focusing errors are given for machine performance and protection reasons. This work builds on an improvement presented in a previous work and further increases precision, accuracy and speed. The second method is a novel local observable for linear lattice imperfections, which can be used to detect strong error sources in the machine, guiding dedicated corrections and being independent of the optics configuration. The last method provides a new way to describe the impact of forced particle motion on the measurement of transverse coupling. The developments in the domain of linear optics measurements presented in this thesis already positively impact LHC operation and machine development and are part of the preparation for future operation of the LHC and other accelerators.