直线加速器中双向高斯密度分布电荷束团发射度增长的比率关系

Scaling Law of Emittance Growth for Bunched Beam with GaussianDensithy Distribution in Both Longitudinal and TransverseDirections in Linac

采用直线加速器中的空间电荷束团的有限圆柱模型，并假设该有限圆柱体电荷密度分布在横向ｒ和纵向ｚ都满足高期分布，推导得到了该电荷束团的自场能与发射度增长公式；通过数值模拟计算，给出了束流发射度增长随束团参数和加速器系统参数变化的图表曲线，讨论了该双向高期密度分布电荷束团发射度增长的比率关系．

In this paper, using a cylinder model of space charge, the formulae of self-energyand emittance growth for a bunched beam with Gaussian type density distribution inboth ongitudinal and transverse directions in linac are derived. And the scaling lawr4elating the beam parameters with the machin parameters are discussed by means ofthe numerical simulation results.