CERN Accelerating science

Article
Title Derivation and interpretation of parameters describing betatron mismatch and chromaticity
Author(s) Carli, Christian (CERN) ; Skoufaris, Kyriacos (CERN)
Publication 2023
In: JACoW IPAC 2023 (2023) WEPL026
In: 14th International Particle Accelerator Conference (IPAC 2023), Venice, Italy, 7 - 12 May 2023, pp.WEPL026
DOI 10.18429/JACoW-IPAC2023-WEPL026
Subject category Accelerators and Storage Rings
Abstract Expressions to quantify betatron mismatch and chromatic effects are frequently used in accelerator physics, but their derivations are not given in standard text books, making their interpretation difficult. First parameters describing betatron mismatch are introduced using normalization with respect to reference Twiss parameters describing a lattice. In a second step, the derivatives of these mismatch parameters with respect to the relative momentum offset are considered and lead naturally to the Montague W functions and a phase angle computed as well by standard lattice programs.
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 Record created 2024-05-16, last modified 2024-05-16


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