Exact Solutions of Indirect Transverse Field Effects in Elongated Structures with Applications to CERN LHC and PS

This thesis addresses indirect space charge driven (ISCD) effects in particle accelerators at CERN. It introduces a novel approach using complex Green functions to accurately model the ISCD tune-shift in the Large Hadron Collider (LHC), identifying the electric interaction with the beam-screen as the primary cause. The developed closed-form model is applicable to future projects like the High Luminosity (HL)-LHC. The work also explains ISCD-induced intensity dependencies in the Proton Synchrotron's (PS) Multi-Turn Extraction. Theoretical contributions include new operators for tune-shift estimation in complex accelerator models, a method to approximate Green functions for arbitrary domains (applied to the LHC beam-screen), and novel closed-form solutions for magnetic interactions in components like n-poles and combined-function magnets.

The thesis can be downloaded here: CERN Document Server.