论文标题
麦克斯韦特征值问题的形状变形模式识别
Mode Recognition by Shape Morphing for Maxwell's Eigenvalue Problem
论文作者
论文摘要
在电气工程中，例如，在设计超导射频腔的设计期间，必须根据其野外模式来识别特征模。这允许理解工作原理，优化设备的性能并区分所需的寄生模式。对于具有简单形状的空腔，特征码很容易根据各个方向的节点和抗indode的数量进行分类，这是从分析公式中显而易见的。对于具有复杂形状的空腔，本征谱是数值确定的。因此，分类很麻烦，即使不是不可能。在本文中，我们提出了一种新的识别方法，通过将腔几何形状转变为药盒并在变形过程中跟踪其本征模。
In electrical engineering, for example during the design of superconducting radio-frequency cavities, eigenmodes must be identified based on their field patterns. This allows to understand the working principle, optimize the performance of a device and distinguish desired from parasitic modes. For cavities with simple shapes, the eigenmodes are easily classified according to the number of nodes and antinodes in each direction as is obvious from analytical formulae. For cavities with complicated shapes, the eigenmodes are determined numerically. Thereby, the classification is cumbersome, if not impossible. In this paper, we propose a new recognition method by morphing the cavity geometry to a pillbox and tracking its eigenmodes during the deformation.
