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A tracking algorithm for the eigenvectors calculated with characteristic mode analysis

机译:特征模式分析计算特征向量的跟踪算法

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Characteristic mode analysis (CMA) is a useful design tool that enables antenna designers to follow a nonbrute force approach of systematically extracting the radiating properties of a structure. These properties are quantified with CMA in the form of eigenvalues and eigenvectors, i.e., the solutions of a generalised eigenvalue equation that is formulated from the Method-of-Moments (MoM) impedance matrix. One particular challenge to CMA, however, is the manner in which quantities such as eigenvalues are plotted as a function of frequency. At each discrete frequency sample, the eigenvalues are sorted according to modal significance, i.e., based on the efficiency with which they radiate. At higher frequencies, the ordering of modes may differ from that obtained at lower frequencies. To mitigate this problem, we have developed a tracking algorithm to keep the ordering of modes as consistent as possible over frequency.
机译:特征模式分析(CMA)是一种有用的设计工具,可使天线设计人员遵循非蛮力方法来系统地提取结构的辐射特性。这些特性使用CMA以特征值和特征向量的形式进行量化,即由矩量法(MoM)阻抗矩阵公式化的广义特征值方程的解。但是,对CMA的一个特殊挑战是将诸如特征值之类的量作为频率的函数进行绘制的方式。在每个离散频率样本上,特征值是根据模态重要性进行分类的,即基于它们辐射的效率。在较高频率下,模式的顺序可能与在较低频率下获得的模式不同。为了缓解此问题,我们开发了一种跟踪算法,以在频率范围内保持模式的顺序尽可能一致。

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