基于单一等效源的新型等效原理算法研究

项目名称： 基于单一等效源的新型等效原理算法研究

项目编号： No.61501267

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 无线电电子学、电信技术

项目作者： 邵汉儒

作者单位： 宁波大学

项目金额： 19万元

中文摘要： 复杂阵列结构电磁问题在实际电子工程中广泛存在，全波数值方法是实现阵列结构电磁问题高效精确求解的主要途径。然而，由于阵列单元的材料和结构复杂、单元之间相互连接、单元数目很多，传统数值方法难以解决阵列结构的大未知量和病态矩阵问题，因此复杂阵列结构电磁问题是迫切需要解决的计算难题。本项目拟针对单元连续分布的阵列结构开展基于单一等效源的新型等效原理算法研究，拟从算法的计算精度、连接基函数处理技术和预条件技术、多层散射算子三个方面进行研究，构建计算精度高、矩阵性态好的新型多层单一等效源等效原理算法。研究成果能丰富和完善等效原理算法理论，为实现单元连续分布阵列结构的快速高效求解提供可靠的数值方法理论和技术，具有重要的学术意义和工程价值。

中文关键词： 矩量法；积分方程法；电磁计算；电磁场边值问题

英文摘要： The electromagnetic problems of complex array structures exist widely in real electronic engineering. Full wave numerical methods are the main way to realize the effective and accurate solution for array structures. However, the array elements with complex material and structure are connected with each other, which also have large number. It is difficult for the traditional numerical methods to solve the array structures, which have large number of unknown and ill-conditioned matrix problem. Therefore the electromagnetic problems of complex array structures become the important computational issue to be solved. The new equivalence principle algorithm based on single equivalence source and its application on element connected array structures will be studied in the project. The contents will cover the computational accuracy of algorithm, tap basis scheme and its preconditioner, multilevel scattering operator. Furthermore, the new multilevel single source equivalence principle algorithm with high accuracy and well-conditioned matrix will be developed. The goal of this proposal is to enrich and consummate the theory of equivalence principle algorithm, and build robust numerical method theory and technology for the fast and effective analysis of element connected array structures.

英文关键词： method of moments;integral equation method;electromagnetic computation;electromagnetic field boundary value problems