标题： 一种用于加速包含旋转天线的大规模不规则阵列互耦分析的宽带多极子方法 显示英文标题

标题： A Broadband Multipole Method for Accelerated Mutual Coupling Analysis of Large Irregular Arrays Including Rotated Antennas

摘要： 我们提出了一种数值方法，用于分析大型、密集且不规则阵列中天线之间的互耦效应，这些阵列中的天线是相同的。基于矩量法（MoM），我们的技术采用宏基函数（MBF）方法快速直接地求逆MoM阻抗矩阵。为了加速降阶矩阵的填充，我们提出了一种最速下降法多极展开的扩展形式，该形式在整个宽带范围内保持数值稳定和高效。这种基于多极的宽带方法非常适合准平面问题，并且只需要预计算每个MBF的复数模式，从而导致较低的天线相关预处理成本。该方法还以低额外成本支持任意旋转的天线阵列。对由256个复杂对数周期天线组成的不规则阵列的所有嵌入元素模式的模拟，在当前笔记本电脑上每个频率点只需10分钟，每种新布局再增加一分钟。 显示英文摘要

摘要： We present a numerical method for the analysis of mutual coupling effects in large, dense and irregular arrays with identical antennas. Building on the Method of Moments (MoM), our technique employs a Macro Basis Function (MBF) approach for rapid direct inversion of the MoM impedance matrix. To expedite the reduced matrix filling, we propose an extension of the Steepest-Descent Multipole expansion which remains numerically stable and efficient across a wide bandwidth. This broadband multipole-based approach is well suited to quasi-planar problems and requires only the pre-computation of each MBF's complex patterns, resulting in low antenna-dependent pre-processing costs. The method also supports arrays with arbitrarily rotated antennas at low additional cost. A simulation of all embedded element patterns of irregular arrays of 256 complex log-periodic antennas completes in just 10 minutes per frequency point on a current laptop, with an additional minute per new layout.