摘要
采用束核 单粒子模型研究强流束中由空间电荷引起的非线性共振与束晕形成的关系。借助Poincare截面技术 ,对粒子在相空间的运动进行数值分析。从束核包络振荡的两个本征模出发 ,推导得到强流束中非线性共振范围随束流空间电荷效应变化的表达式 ,以及由非线性共振而激发的束晕形成的空间电荷极限的表达式 ,并给出相应的结果。
The relationship between the nonlinear resonance and halo formation induced by space charge has been studied by means of the particle core model in this paper. Using the Poincare surface of section technique, an analysis of a particle motion in the phase plane has been presented. The range of the nonlinear resonance versus space charge effects, and the space charge thresholds of halo formation excited by nonlinear resonance are derived. Some numerical results are also given.
出处
《原子能科学技术》
EI
CAS
CSCD
北大核心
2000年第4期289-295,共7页
Atomic Energy Science and Technology
基金
国家自然科学基金资助项目! (197750 6 9)
核工业基金资助项目 !(H7196D0 12 1)
关键词
非线性共振
束晕形成
空间电荷极限
粒子运动
nonlinear resonance
halo formation
Poincare surface of section method
space charge thresholds
