Study of model order reduction techniques for modeling large finite antenna array

Z. Peng, Jin-Fa Lee
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Abstract

Numerical analysis of wide band large antenna array plays a crucial role in the prediction of design performance prior to construction. Since these arrays mostly are electrically large and include complex geometries, accurate simulation is a great challenge. However, recent developments of domain decomposition method (DDM) [1][2] provides us an efficient way to obtain field solution at each frequency point. However, for many real-life phased array applications, the spectral responses over a wide frequency band are usually needed. For frequency domain CEM approaches, the model order reduction (MORe) techniques are often employed for fast frequency sweep. In this paper, we study a few MORe techniques and apply them for large finite antenna array. Through our numerical studies and plots of pole distributions, we found that the number of expansion points increases significantly with the size of array. By using the current existing MORe method, the costs for modeling electrically large electromagnetic problems are still prohibitive.
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大型有限天线阵建模的模型降阶技术研究
宽带大型天线阵的数值分析对天线阵的设计性能预测具有重要意义。由于这些阵列大多是电大的,包括复杂的几何形状,精确的模拟是一个巨大的挑战。然而,域分解方法(DDM)[1][2]的最新发展为我们提供了一种获得每个频率点场解的有效方法。然而,对于许多实际的相控阵应用,通常需要宽频带的频谱响应。对于频域CEM方法,通常采用模型降阶(MORe)技术进行快速扫频。本文研究了几种新的技术,并将其应用于大型有限天线阵。通过数值研究和极点分布图,我们发现扩展点的数量随着阵列的大小而显著增加。通过使用现有的MORe方法,对电大型电磁问题进行建模的成本仍然过高。
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