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Published Articles
Title Stability diagrams for Landau damping
Author(s) Berg, J Scott (Brookhaven Natl. Lab.)
Publication 2020
Number of pages 5
In: ICFA mini-Workshop on Mitigation of Coherent Beam Instabilities in Particle Accelerators (MCBI 2019), Zermatt, Switzerland, 23 - 27 Sep 2019, pp.40-44 (CERN-2020-009)
DOI 10.23732/CYRCP-2020-009.40
Subject category Accelerators and Storage Rings
Abstract Stability diagrams allow one to determine whether a system is stable due to the presence of incoherent tune spread in a beam, a phenomenon known as Landau damping. This paper presents an overview of the mathematical foundations that underpin stability diagrams. I first describe stability diagrams as a mapping between two complex planes: the space of eigenvalues of the underlying Vlasov equation, and a space that can most easily be described as the product of beam current and an effective impedance. I go on to describe the circumstances when the Vlasov description of impedance-driven instabilities can or can not be formulated to construct a stability diagram. Finally I outline how this is applied to impedance-driven collective effects in particle accelerators.
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 记录创建於2021-02-17,最後更新在2021-02-25


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