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随着电磁场数值技术的发展，电大尺寸结构的辐射散射问题的研究受到人们的广泛关注。751十年代开始，计算机和计算技术的飞速发展对科学、生产、生活等各个领域都产生了深刻的影响，并为电磁场数值分析的广泛应用奠定了基础。由此各种数值计算方法，例如有限差分法(FDTD)、有限元法(FEM)、矩量法(MOM)和模拟电荷法等相继应用于各类电磁场问题之中，使电磁场的分析研究取得了大量成果。可以预期，在电磁场理论的应用研究中，电磁场数值分析这一分支今后将会不断地充实和发展。6492
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本论文首先介绍基于积分方程的矩量法原理及其关键技术，例如电磁场积分方程以及基函数的选择等。接着通过课题研究，采用ANSYS商用软件对物体结构进行三角形网格离散，包括平面和曲面不同形式的离散。再利用Fortran 语言编写源代码程序，并调试与运行，用具体算例验证此算法的正确性与有效性。从而得到高阶叠层基函数应用于矩量法分析物体的散射与普通的物体散射的比对图，进而得出其在电大尺寸物体上的散射特性。
关键词 矩量法 电大尺寸物体 三角形网格离散 高阶叠层基函数 散射特性。
毕业设计说明书（论文）外文摘要
Title Higher Order Hierarchical basis functions for moment method analysis of scattering characteristics of electrically large objects
Abstract
With the development of the electromagnetic field numerical technique, the radiation scattering problems of electrically large structures by the widespread concern. Beginning of the 1960s, the rapid development of computers and computing technology have had a profound impact on the various fields of science, production, life, and laid the foundation for widely used for magnetic fields of numerical analysis. This variety of numerical calculation methods, such as the finite difference method (FDTD), finite element method (FEM), the method of moments (MOM) and the charge simulation method have been used in various types of electromagnetic problems, so that the electromagnetic field analysis to obtain large number of results. Can be expected in the study of electromagnetic theory, electromagnetic numerical analysis of this branch will continue to enrich and develop.
This paper first introduces the integral equation method of moments principle and key technologies, such as electromagnetic field integral equation, and the basis function selection. Then, through research, using the ANSYS commercial software triangular mesh discrete object structure, including various forms of discrete plane and curved. Then, written in Fortran source code program, and commissioning and operation of specific examples to verify the correctness and validity of this algorithm. Higher Order Hierarchical Basis Functions used in the method of moments analysis of scattering of objects and ordinary objects scattering graph, and then come in the scattering characteristics of electrically large objects.
Keywords method of moments electrically large objects triangle mesh of discrete high-end tandem basis functions scattering characteristics
目 录
1 绪论 2
1.1 研究的背景及意义 2
1.2论文的研究内容 3
2 矩量法简介 4
2.1 矩量法的基本原理 4
2.2 基函数和检验函数 7
2.3.1 平面三角形基函数 8
2.3.2 曲面三角形基函数 11
2.3本章小结 14
3快速多级子与多层快速多极子算法简介 15
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