Interpolatory Macro Basis Functions Analysis of Non-Periodic Arrays

Interpolatory Macro Basis Functions Analysis of Non-Periodic Arrays
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非周期数组的插值宏基函数分析

DOI:
10.1109/tap.2011.2158947
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发表时间:
2011
影响因子:
5.7
通讯作者:
C. Craeye
C. Craeye
中科院分区:
计算机科学2区
文献类型:
--
作者:
D. González;C. Craeye

文献摘要

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提出了一种有效的矩量法 (MoM) 技术,用于分析具有固定方向的相同元件的非周期天线阵列。所提出的方法使用宏基函数 (MBF),基于 MBF 之间相互作用的紧凑表示。在对一组非常有限的相对位置中的反应积分进行显式预计算之后,这些相互作用通过低阶调和多项式函数来表达。这对于任意大小的阵列都是可能的,这要归功于三个变换——减去相互作用的远场表达式、相位校正和修改的径向距离——连续应用于预先计算的相互作用。获得调和多项式表达式后,两个MBF之间的反应积分的计算时间与天线阵元的复杂度无关。
An efficient method-of-moments (MoM) technique for analyzing non-periodic antenna arrays of identical elements with fixed orientation is presented. The proposed method, which uses macro basis functions (MBFs), is based on a compact representation of the interactions between MBFs. These interactions are expressed via a low-order harmonic-polynomial function after an explicit pre-computation of the reaction integrals in a very limited set of relative positions. This is possible for arrays of arbitrary size thanks to three transformations- subtraction of the far-field expression for the interactions, phase correction and modified radial distance- applied successively to the pre-computed interactions. After obtaining the harmonic-polynomial expressions, the computation time for the reaction integral between two MBFs is independent from the complexity of the antenna array element.