论文标题
圆形加速器中束束的相干横向不稳定
Coherent transverse instability of bunched beams in circular accelerators
论文作者
论文摘要
考虑了环形加速器中一束的相干横向振荡。使用了三种不同的型号:平方电位井中的空心束,抛物线势孔中的方形束,以及抛物线井中的抛物线束。在所有情况下,考虑到束空间充电场,韦克菲尔德和色彩。研究了束本征和各种不稳定性。比较结果并分析以建立模型的适用性范围。讨论了由于SC场对纵向坐标的依赖而引起的Landau阻尼的作用。
Coherent transverse oscillations of a bunch in a ring accelerator are considered. Three different models of the bunch are used: a hollow bunch in a square potential well, a square bunch in a parabolic potential well, and a parabolic bunch in a parabolic well. The bunch space-charge field, wakefield, and chromaticity are taken into account in all the cases. The bunch eigenmodes and various instabilities are studied. The results are compared and analyzed to establish the range of applicability of the models. Role of the Landau damping due to dependence of the SC field on the longitudinal coordinate is discussed.