一种用于自洽空间电荷模拟的辛多粒子跟踪模型
A Symplectic Multi-Particle Tracking Model for Self-Consistent Space-Charge Simulation
摘要：
辛跟踪在加速器束流动力学模拟中具有重要意义。到目前为止，据我们所知，在加速器社区中还没有自洽的辛空间电荷跟踪模型。在本文中，我们提出了一个二维和三维辛多粒子谱模型的空间电荷跟踪模拟。该模型采用分裂算符方法，既考虑了外场的影响，又考虑了自洽空间电荷场的影响。这样的模型保留了相空间结构，并且在说明性示例中显示出比单元中的粒子模型少得多的数值发射度增长。
英文摘要：
Symplectic tracking is important in accelerator beam dynamics simulation. So far, to the best of our knowledge, there is no self-consistent symplectic space-charge tracking model available in the accelerator community. In this paper, we present a two-dimensional and a three-dimensional symplectic multi-particle spectral model for space-charge tracking simulation. This model includes both the effect from external fields and the effect of self-consistent space-charge fields using a split-operator method. Such a model preserves the phase space structure and shows much less numerical emittance growth than the particle-in-cell model in the illustrative examples.
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