Simulation of the Beam-Beam Effects in e+e- Storage Rings with a Method of Reducing the Region of Mesh
Simulation of the Beam-Beam Effects in e+e- Storage Rings with a Method of Reducing the Region of Mesh
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电子存储环中梁-梁效应的网格面积缩小方法模拟
DOI：
10.1103/physrevstab.4.011001
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发表时间：
2000
影响因子：
--
通讯作者：
T. Tajima
中科院分区：
文献类型：
--
作者：
Yunhai Cai;A. Chao;S. Tzenov;T. Tajima
发展了一个高精度的自洽粒子程序，用于模拟${e}^{+}{e}^{\ensuremath{-}}$储存环中的束-束碰撞。它采用了一种求解开边界Poisson方程的方法。该方法由两个步骤组成：使用绿色函数在有限边界上分配势，然后使用快速泊松求解器求解边界内的势。由于泊松方程的解是唯一的，我们的解与简单地利用绿色函数得到的解完全相同。该方法允许我们选择一个更小的网格区域，从而提高了求解器的分辨率。更好的分辨率使得更精确的计算梁的核心中的动力学。在线性和非线性束流区，用这种方法模拟的亮度与PEP-Ⅱ B Factory环的测量值在数量上一致，详细地说明了它的预测能力。
A highly accurate self-consistent particle code to simulate the beam-beam collision in ${e}^{+}{e}^{\ensuremath{-}}$ storage rings has been developed. It adopts a method of solving the Poisson equation with an open boundary. The method consists of two steps: assigning the potential on a finite boundary using Green's function and then solving the potential inside the boundary with a fast Poisson solver. Since the solution of Poisson's equation is unique, our solution is exactly the same as the one obtained by simply using Green's function. The method allows us to select a much smaller region of mesh and therefore increase the resolution of the solver. The better resolution makes more accurate the calculation of the dynamics in the core of the beams. The luminosity simulated with this method agrees quantitatively with the measurement for the PEP-II B Factory ring in the linear and nonlinear beam current regimes, demonstrating its predictive capability in detail.