用于计算结构化波导特性的带开放边界条件的耦合积分方程方法
Coupled integral equations method with open boundary conditions for calculation the characteristics of structured waveguides
AI总结：
针对结构化波导计算需求，改进CASCIE代码实现矩阵开放边界条件，经CERN加速段原型测试验证可消除耦合器附加反射，为耦合模理论的场展开精度研究提供方法支撑。
摘要：
本文介绍了为实现开放边界条件而对CASCIE代码进行改进的结果。研究选取欧洲核子研究中心（CERN）研发的加速段作为待测结构化波导的原型。CASCIE-M代码的测试结果证实，矩阵开放边界条件的实现使得我们可以研究波在其中进出时不会产生耦合器附加反射的结构。研究表明，反射系数随频率的变化关系与带耦合器的波导的对应关系存在差异：前者不存在由耦合器反射和共振条件形成相关的最小值与最大值的规则序列，这说明此类反射具有不同的性质，与结构的不均匀性相关。本文提出的耦合积分方程方法改进方案，可用于研究场展开的精度，而描述结构化波导的耦合模理论可建立在该场展开的基础之上。
英文摘要：
The results of modification of the CASCIE code aimed at implementing open boundary conditions are presented. The accelerator section developed at CERN was chosen as a prototype for the structured waveguide under testing. Results of testing the CASCIE-M code confirms that the implementation of matrix open boundary conditions gives possibility to consider the structure in which waves enter and exit without additional reflections from couplers. It was shown that the dependence of the reflection coefficient on frequency differs from the similar dependence for a waveguide with couplers. It does not have a regular sequence of minimum and maximum values associated with reflections from the couplers and the formation of resonance conditions. This indicates that the reflections are of a different nature and are associated with inhomogeneity. The proposed modification of the coupled integral equation method allows us to investigate the accuracy of the field expansion on which coupled mode theory can be constructed that describes structured waveguides.
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