面向大尺度类周期结构的并行综合函数矩量法理论与关键技术研究

类周期结构具有独特的电磁波调控特性，在雷达探测、目标隐身、天线设计等诸多领域均具有重要的工程应用价值和学术研究价值。针对大尺度类周期结构的高效精确电磁数值分析一直是电磁计算领域的热点和难点。传统全波算法在分析此类问题时，随着阵列规模增大，往往面临计算复杂度激增、内存消耗过大的难题。鉴于此，本项目拟从类周期结构的几何特征出发，提出一种具有函数复用机制的并行综合函数矩量法（p-SBFM），实现对大尺度类周期结构电磁特性的高效精确仿真计算。重点突破相似阵元综合函数复用、综合函数矩量法并行求解、多构型类周期结构多层级处理等关键科学问题，克服传统电磁全波算法在分析此类问题时，精度、效率、内存难以兼顾的难题，为类周期结构的工程应用奠定理论分析基础和仿真研究手段。

Quasi-periodic structures have unique characteristics on electromagnetic regulation and have important values in engineering and academy. Typical applications of quasi-periodic structures include radar detection, target stealth, and antenna design. However, efficient and accurate numerical analysis for large-scale quasi-periodic structures is always a hot and difficult point in computational electromagnetism. Traditional full-wave methods often face such difficulties as rapid growth of computational complexity and oversized memory consumption with the increases of computing scale. Thinking of this, a parallel synthetic basis functions method (p-SBFM) which has a dedicated scheme of synthetic functions reuse is proposed in the project for the accurate and efficient analysis of large scale quasi-periodic structures. Emphases of this project are laid on such key scientific issues as designing the scheme of synthetic functions reuse for similar array unit, parallel solution of SBFM, multi-level processing of multi-configuration quasi-periodic structures. All of these make p-SBFM overcome the difficulties of traditional electromagnetic full-wave methods in balancing accuracy, efficiency, and memory when analyzing large scale electromagnetic problems. Moreover, they also provide analytical methods and theoretical foundations for the engineering application of quasi-periodic structures.