加速结构特性计算的耦合积分方程法的改进
Modification of coupled integral equations method for calculation the accelerating structure characteristics
摘要：
本文提出了一种改进的计算加速结构特性的耦合积分方程法。在早期开发的CIEM计划的耦合积分方程推导出未知的电场在接口划分相邻的体积。除了通过相邻单元之间的界面对结构化波导进行标准划分之外，我们建议在电场具有最简单横向结构的地方引入新的界面。此外，系统的耦合积分方程制定的纵向电场中的横向电场是未知数的标准方法相比。最终的矩阵方程包含在这些附加界面处的纵向电场的展开系数。这种修改使得有可能处理在粒子加速中起重要作用的物理量（纵向电场），并获得波导参数缓慢变化的情况下的近似方程。
英文摘要：
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.
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