对比度和时间扩展对按时间行进的对比度电流密度体积积分方程的影响

Petrus W.N. van Diepen, M. C. Beurden, R. Dilz
{"title":"对比度和时间扩展对按时间行进的对比度电流密度体积积分方程的影响","authors":"Petrus W.N. van Diepen, M. C. Beurden, R. Dilz","doi":"10.2528/PIERB23091305","DOIUrl":null,"url":null,"abstract":"The contrast current density volume integral equation, discretized with piecewise constant spatial basis and test functions and Dirac-delta temporal test functions and the piecewise polynomial temporal basis functions, results in a causal implicit marching-on-in-time scheme that we refer to as the marching-on-in-time contrast current density volume integral equation (MOT-JVIE). The companion matrix stability analysis of the MOT-JVIE solver shows that for a fixed spatial and temporal step size, the stability is independent of the scatterer's dielectric contrast for quadratic spline temporal basis functions. Whereas, Lagrange and cubic spline exhibit instabilities at higher contrast. We relate this stability performance to the expansion and testing procedure in time. We further illustrate the capabilities of the MOT-JVIE based on quadratic spline temporal basis functions by: comparing the MOT-JVIE solution to time-domain results from literature and frequency-domain results from a commercial combined field integral equation solver. Finally, we present a long time sequence for a high-constrast scatterer discretized with 24,000 spatial unknowns.","PeriodicalId":20829,"journal":{"name":"Progress In Electromagnetics Research B","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Influence of Contrast and Temporal Expansion on the Marching-on-in-Time Contrast Current Density Volume Integral Equation\",\"authors\":\"Petrus W.N. van Diepen, M. C. Beurden, R. Dilz\",\"doi\":\"10.2528/PIERB23091305\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The contrast current density volume integral equation, discretized with piecewise constant spatial basis and test functions and Dirac-delta temporal test functions and the piecewise polynomial temporal basis functions, results in a causal implicit marching-on-in-time scheme that we refer to as the marching-on-in-time contrast current density volume integral equation (MOT-JVIE). The companion matrix stability analysis of the MOT-JVIE solver shows that for a fixed spatial and temporal step size, the stability is independent of the scatterer's dielectric contrast for quadratic spline temporal basis functions. Whereas, Lagrange and cubic spline exhibit instabilities at higher contrast. We relate this stability performance to the expansion and testing procedure in time. We further illustrate the capabilities of the MOT-JVIE based on quadratic spline temporal basis functions by: comparing the MOT-JVIE solution to time-domain results from literature and frequency-domain results from a commercial combined field integral equation solver. Finally, we present a long time sequence for a high-constrast scatterer discretized with 24,000 spatial unknowns.\",\"PeriodicalId\":20829,\"journal\":{\"name\":\"Progress In Electromagnetics Research B\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-09-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Progress In Electromagnetics Research B\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2528/PIERB23091305\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Engineering\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Progress In Electromagnetics Research B","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2528/PIERB23091305","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0

摘要

对比度电流密度体积积分方程采用片断常数空间基函数和检验函数、狄拉克-德尔塔时间检验函数以及片断多项式时间基函数进行离散化,从而得到一种因果隐式按时间行进方案,我们称之为按时间行进对比度电流密度体积积分方程(MOT-JVIE)。MOT-JVIE 求解器的伴生矩阵稳定性分析表明,在固定的空间和时间步长下,二次样条时基函数的稳定性与散射体的介电对比度无关。而拉格朗日和三次样条曲线在对比度较高时表现出不稳定性。我们将这种稳定性能与时间扩展和测试程序联系起来。我们通过比较 MOT-JVIE 解决方案与文献中的时域结果以及商用组合场积分方程求解器的频域结果,进一步说明了基于二次样条时基函数的 MOT-JVIE 的能力。最后,我们展示了用 24,000 个空间未知数离散化的高对比度散射体的长时间序列。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
查看原文
分享 分享
微信好友 朋友圈 QQ好友 复制链接
本刊更多论文
The Influence of Contrast and Temporal Expansion on the Marching-on-in-Time Contrast Current Density Volume Integral Equation
The contrast current density volume integral equation, discretized with piecewise constant spatial basis and test functions and Dirac-delta temporal test functions and the piecewise polynomial temporal basis functions, results in a causal implicit marching-on-in-time scheme that we refer to as the marching-on-in-time contrast current density volume integral equation (MOT-JVIE). The companion matrix stability analysis of the MOT-JVIE solver shows that for a fixed spatial and temporal step size, the stability is independent of the scatterer's dielectric contrast for quadratic spline temporal basis functions. Whereas, Lagrange and cubic spline exhibit instabilities at higher contrast. We relate this stability performance to the expansion and testing procedure in time. We further illustrate the capabilities of the MOT-JVIE based on quadratic spline temporal basis functions by: comparing the MOT-JVIE solution to time-domain results from literature and frequency-domain results from a commercial combined field integral equation solver. Finally, we present a long time sequence for a high-constrast scatterer discretized with 24,000 spatial unknowns.
求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
Progress In Electromagnetics Research B
Progress In Electromagnetics Research B Engineering-Electrical and Electronic Engineering
CiteScore
2.70
自引率
0.00%
发文量
14
期刊介绍: Progress In Electromagnetics Research (PIER) B publishes peer-reviewed original, comprehensive and tutorial review articles on all aspects of electromagnetic theory and applications. It is a new journal in 2008, and freely available to all readers via the Internet. Manuscripts submitted to PIER B must not have been submitted simultaneously to other journals. Authors are solely responsible for the factual accuracy of their articles, and all articles are understood to have received clearance(s) for publication.
期刊最新文献
The Influence of Contrast and Temporal Expansion on the Marching-on-in-Time Contrast Current Density Volume Integral Equation Multi-attribute Synergetic Decision-making Algorithm for 5G Integrated Heterogeneous Wireless Network Quantum Illumination Radar Using Polarization States of Photons in Atmosphere: Quantum Information Approach Sensorless Control of Interior Permanent Magnet Synchronous Motor with Triangular Transform Current Self-demodulation in the Estimating d-q Axis Optimizing 1D Dielectric Electromagnetic Bandgap (D-EBG) Structures Using Multistage Genetic Algorithm (MS-GA) and Considering Parameter Variations
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
0
微信
客服QQ
Book学术公众号 扫码关注我们
反馈
×
意见反馈
请填写您的意见或建议
请填写您的手机或邮箱
已复制链接
已复制链接
快去分享给好友吧!
我知道了
×
扫码分享
扫码分享
Book学术官方微信
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术
文献互助 智能选刊 最新文献 互助须知 联系我们:info@booksci.cn
Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。
Copyright © 2023 Book学术 All rights reserved.
ghs 京公网安备 11010802042870号 京ICP备2023020795号-1