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 nl× nJ grids in the azimuthal and radial directions, respectively. The transverse dipole moment in the longitudinal phase space is represented by a vector of length nl nJ, and the transformation given by the Vlasov equation is represented by a matrix transformation of size nl nJ× nl nJ. Solving the eigenvalue problem of this matrix gives the nl nJ 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 nl=41 and nJ=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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BibTeX
@misc{ohmi2026oscillation,
title = {{Oscillation modes, Decoherence, Beam Transfer Functions, and Instabilities for a Beam Subjected to Space-Charge Forces}},
author = {Kazuhito Ohmi and Liangsheng Huang and Hanyang Liu and Li Rao and Renjun Yang and Sheng Wang and Mingyang Huang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.29094},
eprint = {2610.29094},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.29094},
note = {CC0},
}
RIS
TY - UNPB
TI - Oscillation modes, Decoherence, Beam Transfer Functions, and Instabilities for a Beam Subjected to Space-Charge Forces
AU - Kazuhito Ohmi
AU - Liangsheng Huang
AU - Hanyang Liu
AU - Li Rao
AU - Renjun Yang
AU - Sheng Wang
AU - Mingyang Huang
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.29094
UR - https://arxiv.org/abs/2610.29094
AB - 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× 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× 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.
ER -