| 等效原理算法在不同等效面下的误差分析 |
| |
| 引用本文： | 党训旺,李懋坤,杨帆,许慎恒. 等效原理算法在不同等效面下的误差分析[J]. 北京航空航天大学学报, 2015, 41(10): 1867-1872. DOI: 10.13700/j.bh.1001-5965.2015.0214 |
| |
| 作者姓名： | 党训旺 李懋坤 杨帆 许慎恒 |
| |
| 作者单位： | 1.清华大学电子工程系, 北京 100084 |
| |
| 基金项目： | 清华大学电子工程系传信研究基金 |
| |
| 摘 要： | 等效原理算法(EPA)借鉴了区域分解的思想,并基于惠更斯等效原理实现了对大规模散射问题的计算.本文对EPA中的等效原理算子(EPO)进行了误差分析,选取了立方体、球体和进行了光滑处理的立方体等作为等效面寻找误差来源,并提出了误差改进的建议.根据计算结果,等效磁流在等效面上描述的误差一般集中在等效面表面的几何不连续处,且主要受等效面上的法向向量不连续性和基函数的选取的影响.故在选取等效面时应尽量考虑使用平滑的等效面,而不是直接使用立方体等效面.
|
| 关 键 词： | 惠更斯等效原理 区域分解方法 误差分析 计算电磁学 RWG基函数 |
| 收稿时间： | 2015-04-10 |
Error analysis of equivalence principle algorithm on different equivalence surfaces |
| |
| DANG Xunwang,LI Maokun,YANG Fan,XU Shenheng. Error analysis of equivalence principle algorithm on different equivalence surfaces[J]. Journal of Beijing University of Aeronautics and Astronautics, 2015, 41(10): 1867-1872. DOI: 10.13700/j.bh.1001-5965.2015.0214 |
| |
| Authors: | DANG Xunwang LI Maokun YANG Fan XU Shenheng |
| |
| Affiliation: | 1.Department of Electronic Engineering, Tsinghua University, Beijing 100084, China2. Tsinghua National Laboratory for Information Science and Technology(TNist), Beijing 100084, China |
| |
| Abstract: | Equivalence principle algorithm (EPA) is a domain decomposition algorithm based on the Huygens' equivalence principle to solve large scale scattering problems. The errors of the equivalence principle operator (EPO) in EPA using cubic, spherical and smooth cubic equivalence surfaces were analyzed to find the source of errors. The sources of the error were investigated and a simple scheme to improve its accuracy was developed. From the numerical examples, it shows that the error of equivalent magnetic current is mainly concentrated on geometrical discontinuity of the equivalence surface, and affected by both the discontinuity of the normal vector on the equivalence surface and the choice of basis functions. Therefore it is suggested to choose smooth equivalence surfaces if possible rather than to use cubic ones directly. |
| |
| Keywords: | Huygens equivalence principle domain decomposition method error analysis computational electromagnetics RWG basis function |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《北京航空航天大学学报》浏览原始摘要信息 |
|
点击此处可从《北京航空航天大学学报》下载全文 |
|
