Fast computation of the impedance matrix for the periodic Method of Moments using a plane wave decomposition
Fast computation of the impedance matrix for the periodic Method of Moments using a plane wave decomposition
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使用平面波分解快速计算周期矩法的阻抗矩阵
DOI：
10.1109/eucap.2016.7481735
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发表时间：
2016
期刊：
影响因子：
--
通讯作者：
Christophe Craeye
中科院分区：
文献类型：
--
作者：
D. Tihon;Christophe Craeye
利用矩量法研究了二维周期阵列的全波模拟。采用基于平面波分解的方法填充MoM阻抗矩阵。对于基函数对和测试函数对彼此接近，在用泰勒展开式外推阻抗矩阵的值之前，先去掉一个奇异项。该方法的两个主要优点是易于计算泰勒展开中涉及的阻抗矩阵的导数，并且可以对连续单元胞之间的所有相移进行一次奇异提取。当使用阵列扫描方法（ASM）时，后一个属性被证明是有用的。
Full-wave simulations of 2D periodic arrays using the Method of Moments (MoM) are investigated. A method based on plane wave decomposition is used to fill the MoM impedance matrix. For pair of basis and testing functions that are close to each other, a singular term is removed before extrapolating the value of the impedance matrix using a Taylor expansion. The two main advantages of this method are the easy computation of the derivative of the impedance matrix involved in the Taylor expansion and the fact that the singularity extraction can be performed once for all phase shifts between consecutive unit cells. The latter property proves to be useful when the Array Scanning Method (ASM) is to be used.