Self-consistent time dependent two dimensional and three dimensional space charge distributions with linear force

被引:20
作者
Danilov, V [1 ]
Cousineau, S [1 ]
Henderson, S [1 ]
Holmes, J [1 ]
机构
[1] Oak Ridge Natl Lab, Spallat Neutron Source Project, Oak Ridge, TN 37830 USA
来源
PHYSICAL REVIEW SPECIAL TOPICS-ACCELERATORS AND BEAMS | 2003年 / 6卷 / 09期
关键词
D O I
10.1103/PhysRevSTAB.6.094202
中图分类号
O57 [原子核物理学、高能物理学];
学科分类号
070202 ;
摘要
Finding self-consistent distributions of beam particles interacting with each other via the space charge force is one of the challenges of accelerator physics. Exactly solvable models are used for simulation benchmarks, instability threshold calculations, etc. Since such distributions have been found only in one and two dimensions (Kapchinsky-Vladimirsky distribution), it is not possible to apply them to a general three dimensional motion. This paper shows how to construct new sets of self-consistent distributions, extending even to the three dimensional case.
引用
收藏
页码:74 / 85
页数:12
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