An analytic technique for synthesizing two-element biomimetic antenna arrays (BMAAs) is presented. This method addresses the shortcomings of previous methods used to design such arrays, which uniformly relied on using a numerical optimization procedure to find acceptably suboptimal solutions for the design of the coupling networks of such arrays. We first present an analytic method for determining all possible S-parameters that satisfy the requirements of the four-port external coupling network (ECN) of a two-element BMAA. Subsequently, all possible lumped element implementations of the ECNs are presented. Finally, we present a method for determining the values of the reactive elements constituting the ECN from its S-matrix. We demonstrate the proposed design procedure for a BMAA consisting of two 10.3 cm-long monopole antennas separated by 5 cm. The design procedure is used to determine the reactive elements constituting the ECNs for two (out of infinity) S-matrices and 13 different ECN architectures. Two representative coupling networks were also fabricated and the responses of the BMAAs using them were experimentally characterized. The measurement results are found to be in good agreement with the simulations, verifying the validity of the proposed synthesis technique.

中文翻译：

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二元仿生天线阵列的解析合成方法

提出了一种用于合成二元仿生天线阵列 (BMAA) 的分析技术。这种方法解决了以前用于设计此类阵列的方法的缺点，这些方法统一依赖于使用数值优化程序来为此类阵列的耦合网络的设计找到可接受的次优解决方案。我们首先提出了一种分析方法，用于确定满足二元 BMAA 的四端口外部耦合网络 (ECN) 要求的所有可能的 S 参数。随后，介绍了 ECN 的所有可能的集总元件实现。最后，我们提出了一种从 S 矩阵确定构成 ECN 的电抗元素值的方法。我们展示了 BMAA 的拟议设计程序，该程序由两个 10.3 厘米长的单极天线组成，它们相距 5 厘米。设计程序用于确定构成两个（无穷大）S 矩阵和 13 种不同 ECN 架构的 ECN 的电抗元件。还制作了两个有代表性的耦合网络，并对使用它们的 BMAA 的响应进行了实验表征。发现测量结果与模拟非常吻合，验证了所提出的合成技术的有效性。