{"title":"利用时间步进再初始化的拉普拉斯变换数值反演求解 TD-EFIE 时刻法","authors":"Glenn Iwasa;Emad Gad;Derek A. McNamara","doi":"10.1109/TAP.2024.3463168","DOIUrl":null,"url":null,"abstract":"This article presents a new approach to solving the time-domain electric field integral equation (TD-EFIE). The proposed method develops the notion of problem-independent numerical inversion of the Laplace transform (NILT), which is known in circuit simulation, into a complete time-stepping procedure suitable for the solution of the TD-EFIE. The key advantages of NILT, in terms of the high-order temporal representation and numerical stability, are maintained in the proposed method. More importantly, NILT does not require recursive convolution due to its being entirely based on the method-of-moment (MoM) solution of the Laplace-domain form of the EFIE. Several examples are presented to validate the accuracy of the proposed method.","PeriodicalId":13102,"journal":{"name":"IEEE Transactions on Antennas and Propagation","volume":"72 11","pages":"8655-8668"},"PeriodicalIF":4.6000,"publicationDate":"2024-09-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"TD-EFIE Method-of-Moments Solution Using the Numerical Inversion of the Laplace Transform With Time-Stepping Re-Initialization\",\"authors\":\"Glenn Iwasa;Emad Gad;Derek A. McNamara\",\"doi\":\"10.1109/TAP.2024.3463168\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article presents a new approach to solving the time-domain electric field integral equation (TD-EFIE). The proposed method develops the notion of problem-independent numerical inversion of the Laplace transform (NILT), which is known in circuit simulation, into a complete time-stepping procedure suitable for the solution of the TD-EFIE. The key advantages of NILT, in terms of the high-order temporal representation and numerical stability, are maintained in the proposed method. More importantly, NILT does not require recursive convolution due to its being entirely based on the method-of-moment (MoM) solution of the Laplace-domain form of the EFIE. Several examples are presented to validate the accuracy of the proposed method.\",\"PeriodicalId\":13102,\"journal\":{\"name\":\"IEEE Transactions on Antennas and Propagation\",\"volume\":\"72 11\",\"pages\":\"8655-8668\"},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2024-09-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Antennas and Propagation\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10693314/\",\"RegionNum\":1,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Antennas and Propagation","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10693314/","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
TD-EFIE Method-of-Moments Solution Using the Numerical Inversion of the Laplace Transform With Time-Stepping Re-Initialization
This article presents a new approach to solving the time-domain electric field integral equation (TD-EFIE). The proposed method develops the notion of problem-independent numerical inversion of the Laplace transform (NILT), which is known in circuit simulation, into a complete time-stepping procedure suitable for the solution of the TD-EFIE. The key advantages of NILT, in terms of the high-order temporal representation and numerical stability, are maintained in the proposed method. More importantly, NILT does not require recursive convolution due to its being entirely based on the method-of-moment (MoM) solution of the Laplace-domain form of the EFIE. Several examples are presented to validate the accuracy of the proposed method.
期刊介绍:
IEEE Transactions on Antennas and Propagation includes theoretical and experimental advances in antennas, including design and development, and in the propagation of electromagnetic waves, including scattering, diffraction, and interaction with continuous media; and applications pertaining to antennas and propagation, such as remote sensing, applied optics, and millimeter and submillimeter wave techniques