Accurate synthesis of antenna radiation behavior is a complementary step towards simulation in antenna systems design process. In this paper, a spherical harmonic decomposition (SHD) and coupled structure electromagnetic statistical model (CSESM) methods are hybridized and adapted for the first time, to actively synthesize radiation characteristics using antenna feed array. The problem of finding the feed array aperture size, capable of synthesizing a required field intensity distribution, within a specified region for a reflector system signaling a satellite is also addressed. Relationship that exist between the required number of elements in feed array, frequency of operation, volume of the synthesis region, and the required reflector size is theoretically benchmarked. EM radiation behavior via antenna feed array is optimally synthesized using the proposed SHD-CSESM-based method. With this approach, operation limits on the synthesis of the signal field within a test volume of a given radius is predicted. Efficiency and effectiveness of SHD-CSESM-based EM field synthesis scheme unveiled are investigated for structures in a region where feed antennas are positioned distance away (focal point) from reflector system operating at Ka band. Experimental measurement data of a circularly polarized Ka-band $2\times2$ -antenna feed array is compared with the proposed theoretical method, and results obtained demonstrate the validity of the proposed algorithm. Furthermore, for any wave number ${k}$ or frequency f, the field radiation behaviour within the sphere can be accurately synthesized using an ${N}$ order expansion and ${V} \ge (4{N}+1)/{N}$ array size. Results obtained show that the proposed synthesis method handles constrains related to both aperture domain and radiation domain. Hence, SHD-CSESM-based technique is a good candidate for EM field synthesis, with the notion of automating system design processes in the emerging and future EM field applications.

中文翻译：

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用于高效通信系统的天线馈源阵列合成

天线辐射行为的准确综合是天线系统设计过程中仿真的补充步骤。在本文中，球谐分解 (SHD) 和耦合结构电磁统计模型 (CSESM) 方法首次混合和适应，使用天线馈电阵列主动合成辐射特性。还解决了在反射器系统的指定区域内找到能够合成所需场强分布的馈源阵列孔径大小的问题，该问题向卫星发出信号。在馈电阵列中所需的元件数量、操作频率、合成区域的体积和所需的反射器尺寸之间存在的关系理论上是基准化的。使用所提出的基于 SHD-CSESM 的方法优化合成通过天线馈电阵列的 EM 辐射行为。通过这种方法，可以预测给定半径的测试体积内信号场合成的操作限制。研究了基于 SHD-CSESM 的 EM 场合成方案的效率和有效性，研究了馈电天线与在 Ka 波段工作的反射器系统相距一定距离（焦点）的区域中的结构。圆极化Ka波段的实验测量数据 研究了基于 SHD-CSESM 的 EM 场合成方案的效率和有效性，研究了馈电天线与在 Ka 波段工作的反射器系统相距一定距离（焦点）的区域中的结构。圆极化Ka波段的实验测量数据 研究了基于 SHD-CSESM 的 EM 场合成方案的效率和有效性，研究了馈电天线与在 Ka 波段工作的反射器系统相距一定距离（焦点）的区域中的结构。圆极化Ka波段的实验测量数据 $2\times2$ -天线馈源阵列与所提出的理论方法进行了比较，所得结果证明了所提出算法的有效性。此外，对于任意波数 ${k}$ 或频率 F， 球内的场辐射行为可以使用 ${N}$ 订单扩展和 ${V} \ge (4{N}+1)/{N}$ 数组大小。获得的结果表明，所提出的综合方法处理与孔径域和辐射域相关的约束。因此，基于 SHD-CSESM 的技术是 EM 场合成的一个很好的候选者，在新兴和未来的 EM 场应用中具有自动化系统设计过程的概念。