Abstract
An analytical model is potent to give an important insight into the dynamics of the instability. Since the cloud is a reactive medium, its interaction with the beam is usually described in terms of a low-Q effective beam coupling impedance [1–4]. In one of the first attempts to quantify the resulting instability, Burov and Dikansky in 1997 [5] investigated two basic configurations: a field-free drift section and a bending magnet with a uniform magnetic field. Later, Channell solved the coupled beam-cloud motion in the presence of a quadrupole magnetic field [6]. Also worth mentioning is the work of Balbekov, who came up with an “immobile snake” model of the cloud to analyze beam stability and nonlinear effects for a case of a strong dipole field [7].
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Antipov, S.A. (2018). Analytical Model of the Electron Cloud Instability. In: Fast Transverse Beam Instability Caused by Electron Cloud Trapped in Combined Function Magnets. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-02408-6_5
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DOI: https://doi.org/10.1007/978-3-030-02408-6_5
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