3D Theory of Microscopic Instabilities Driven by Space-Charge Forces
Accelerator Physics
2023-06-14 v1
Abstract
Microscopic, or short-wavelength, instabilities are known for drastic reduction of the beam quality and strong amplification of the noise in a beam. Space charge and coherent synchrotron radiation are known to be the leading causes for such instabilities. In this paper we present rigorous 3D theory of such instabilities driven by the space-charge forces. We define the condition when our theory is applicable for an arbitrary accelerator system with 3D coupling. Finally, we derive a linear integral equation describing such instability and identify conditions when it can be reduced to an ordinary second order differential equation.
Cite
@article{arxiv.2210.13543,
title = {3D Theory of Microscopic Instabilities Driven by Space-Charge Forces},
author = {Vladimir Litvinenko and Yichao Jing and Jun Ma and Irina Petrushina and Kai Shih and Gang Wang},
journal= {arXiv preprint arXiv:2210.13543},
year = {2023}
}
Comments
38 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:2101.04103