摘要本文将无网格法推广应用到电磁辐射问题的研究。提出利用无网格方法的离散节点技术代替传统的网格单元，由移动最小二乘近似原理来拟合场函数，结合电磁场方程，得到分析电磁辐射的有效途径。接着运用HFSS仿真技术软件验证了无网格法在天线辐射方向以及微波器件中运用的正确性。64766

  本文首先研究了无网格插值法的意义、性质。介绍了无网格法在电磁辐射研究上的优越性。然后，简要介绍了HFSS仿真模拟半波偶极子天线，得到了多项参数图表，将其与fortran语言编程实现的无网格算法结果做比较，验证该算法的合理性，此为第一个算法案例。接着又运用fortran语言编程实现谐振腔的无网格算法，将算法结果与理论谐振腔谐振频率做比较，再次验证该算法的正确性，此为第二个算法案例。

毕业论文关键字：半波偶极子天线   无网格法   HFSS仿真   谐振腔

毕业设计说明书（论文）外文摘要

Title Study on the analysis of substrate integrated waveguide filter based on meshless method 

Abstract

In this thesis ， meshless method (MLM) is extended to applied to study electromagnetic scattering and radiation problems. Comparing with the mesh-based method, moving least square method (MLS) requiring only nodal data but no element data is employed to construct the shape function. In terms of the electromagnetic integral equation, a solution scheme of electromagnetic scattering and radiation by using method of mesh-free is presented. Then,wo use simulation software HFSS to verify the correctness of the meshless method used in antenna and microwave devices. 

This paper firstly studies  the significance and nature of the meshless interpolation method .we can find the superiority of the meshless method in electromagnetic radiation . Then,it briefly introduced the HFSS simulation of half wave dipole antenna and The parameters of the chart 。compared with the result of the FORTRAN language 1programming of  the meshless method ,it verifies the rationality of the method.This is the first case .Then we use  FORTRAN language programming to realize the meshless method of cavity resonator. TO compare with  theoretical   resonant frequency of cavity resonator, it Verifies the correctness of the method again .This is the second case .

Keyword:   half wave dipole antenna    meshless method (MLM) 

          simulation software HFSS    cavity resonator

第一章  绪论 5

1.1 无网格法研究的背景和意义 5

1.2 HFSS软件仿真的意义 6

1.3本文主要研究内容及安排 6

第二章 数值计算的无网格法 7

2.1 引言 7

2.2 电磁计算的基本理论和方程 8

2.2.1 麦克斯韦方程微分形式 8

2.2.2 电磁场表面积分方程 9

2.3  矩量法 10

2.4 无网格法及其形函数 12

2.4.1 移动最小二乘法构造形函数 12

2.4.2 无网格法形函数的优点 17

2.5 小结 18

第三章 实例一：验证无网格法在半波偶极子天线中的运用的正确性