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采用直线加速器中的有限圆柱空间电荷模型,并假设该有限圆柱体电荷密度分布在纵向z和横向r都满足高斯分布,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,讨论了该纵向和横向高斯型密度分布电荷束团发射度增长的比率关系。
Using the finite cylindrical space charge model in a linear accelerator and assuming that the distribution of charge density of the finite cylinder satisfy the Gaussian distribution in the longitudinal direction z and the transverse direction r, the self-field energy and emissivity growth equation of the charge bunch is deduced. The simulation curves show that the beam emissivity increases with the change of bunch parameters and accelerator system parameters, and the relationship between the increase of beam emissivity of the vertical and horizontal Gaussian density distributions is discussed.