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oai:ir.soken.ac.jp:00004860 2024-04-26T05:52:21Z 1:272

Gaussian approximation of the bunch lengthening in electron Gaussian approximation of the bunch lengthening in electron 平田, 光司 ヒラタ, コウジ HIRATA, Koji 平田 ヒラタ HIRATA 光司 コウジ Koji PETRACCA, Stefania DEMMA, Th. HIRATA, Kohji © 2005 The American Physical Society application/pdf The validity of the Gaussian approximation of the distribution function in the study of the equilibrium bunch length in electron storage rings is considered with specific reference to the inductive wake. The Gaussian approximation can be used to describe not only localized wakes, but also uniformly distributed wakes, for which the longitudinal profiles at equilibrium are ruled by the potential-well-distortion (Haissinski) equation. Comparison of Gaussian approximation based results with those obtained from Haissinski equation shows good qualitative agreement in their common range of validity, while shedding light on the nature of the unstable regimes. American Physical Society 2005 eng journal article VoR https://ir.soken.ac.jp/records/4860 http://doi.org/10.1103/PhysRevSTAB.8.074401 10.1103/PhysRevSTAB.8.074401 http://creativecommons.org/licenses/by/3.0/ Copyright 1098-4402 Physical Review ST Accelerators and Beams Physical Review ST Accelerators and Beams 8 074401 https://ir.soken.ac.jp/record/4860/files/PhysRevSTAB.8.pdf application/pdf 519.8 kB 2014-08-08