Phys. Rev. E 70, 016501 (2004) [12 pages]Perturbative formulation for nonlinear chromaticity of circular acceleratorsReceived 25 November 2003; published 2 July 2004 The nonlinear chromaticity plays an important part in the dynamics of a particle at far off-momentum in a strong focusing circular accelerator. We derived the exact perturbative formula of the nonlinear dispersion function of a ring accelerator and gave explicit expressions of higher-order terms. Using the perturbative formula for the dispersion function, we derived the higher-order expressions for the nonlinear chromaticity up to the third order. We numerically estimated the nonlinear chromaticity of the SPring-8 storage ring, and it showed fairly good agreement with the measurement. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevE.70.016501
DOI:
10.1103/PhysRevE.70.016501
PACS:
41.85.−p
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