arXiv · 2610.29094
Oscillation modes, Decoherence, Beam Transfer Functions, and Instabilities for a Beam Subjected to Space-Charge Forces
Abstract
Based on the oscillation modes of a bunch subject to the space-charge force, we discuss the decoherence of the dipole oscillation, the beam transfer function, and the beam instability. The longitudinal phase space is discretized into \(n_l\times n_J\) grids in the azimuthal and radial directions, respectively. The transverse dipole moment in the longitudinal phase space is represented by a vector of length \(n_l n_J\), and the transformation given by the Vlasov equation is represented by a matrix transformation of size \(n_l n_J\times n_l n_J\). Solving the eigenvalue problem of this matrix gives the \(n_l n_J\) eigen-oscillation modes of the bunch. Using the resulting eigenvectors within a standard linear-algebraic treatment, we analyze these three phenomena. The analysis was performed for the Rapid Cycling Synchrotron (RCS) of the China Spallation Neutron Source (CSNS) using \(n_l=41\) and \(n_J=40\), and it visualizes the features related to the continuous distribution of the tune, Landau damping, and isolated modes separated from the continuous tune region.
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Kazuhito Ohmi, Liangsheng Huang, Hanyang Liu, Li Rao, Renjun Yang, Sheng Wang, Mingyang Huang. 2026-10-21. Oscillation modes, Decoherence, Beam Transfer Functions, and Instabilities for a Beam Subjected to Space-Charge Forces. https://arxiv.org/abs/2610.29094
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