{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/rf-gymnastics-with-transfer-matrices","title":"RF gymnastics with transfer matrices","arxiv_id":"2202.03964","date":"2022-02-08","proceeding":null,"authors":["Volker Ziemann"],"abstract":"We introduce transfer matrices to describe the motion of particles in the vicinity of the stable and unstable fixed points of longitudinal phase space and use them to analyze the transfer of bunches between radio-frequency systems operating at different harmonics and voltages. We then apply this formalism to analyze the decoherence due to amplitude-dependent tune shift on the asymptotically achievable longitudinal emittance and assess tolerances for the injection.","url_abs":"https://arxiv.org/abs/2202.03964v2","url_pdf":"https://arxiv.org/pdf/2202.03964v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"rf-gymnastics-with-transfer-matrices","repo_url":"https://github.com/volkziem/rfgymnasticstoolbox","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":1,"framework":"none","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}