论文标题
修改耦合积分方程方法用于计算加速结构特征
Modification of coupled integral equations method for calculation the accelerating structure characteristics
论文作者
论文摘要
本文介绍了用于计算加速结构特征的耦合积分方程方法（CIEM）的修改。在较早开发的CIEM方案中，耦合的积分方程是针对分裂相邻体积的界面处的未知电场得出的。除了通过相邻单元格之间的界面对结构化波导的标准划分外，我们建议在电场具有最简单的横向结构的地方引入新界面。此外，与横向电场未知的标准方法相反，纵向电场的耦合积分方程系统是为纵向电场制定的。最终矩阵方程包含在这些其他接口处纵向电场的膨胀系数。这种修饰使得可以处理在颗粒加速度（纵向电场）中起重要作用的物理量，并为波导参数变化缓慢而获得近似方程。
Modification of coupled integral equations method (CIEM) for calculating the characteristics of the accelerating structures is presented in this paper. In earlier developed CIEM schemes the coupled integral equations are derived for the unknown electrical fields at interfaces that divide the adjacent volumes. In addition to the standard division of the structured waveguide by interfaces between the adjacent cells, we propose to introduce new interfaces in places where electric field has the simplest transverse structure. Moreover, the system of coupled integral equations is formulated for longitudinal electrical fields in contrast to the standard approach where the transverse electrical fields are unknowns. The final matrix equations contain expansion coefficients of the longitudinal electric field at these additional interfaces. This modification makes it possible to deal with a physical quantity that plays an important role in the acceleration of particles (a longitudinal electric field), and to obtain approximate equations for the case of a slow change in the waveguide parameters.
