Stable and Accurate Marching-on-in-Time Solvers of Time Domain EFIE, MFIE, and CFIE Based on Quasi-Exact Integration Technique

Xin Wang, Yifei Shi, Mingyu Lu, Balasubramaniam Shanker, Eric Michielssen, Hakan Bagci

Research output: Contribution to journalArticlepeer-review

10 Scopus citations

Abstract

The development of time-domain integral equation solvers with robust late-time stability properties has been a long-standing quest. Among the many methods that have been investigated, those leveraging quasi-exact integration techniques appear to be most successful. This article presents stable and accurate marching-on-in-time (MOT) solvers for time-domain electric, magnetic, and combined field integral equations (EFIE, MFIE, and CFIE) based on quasi-exact integration techniques. The novel MOT solvers exhibit excellent stability while yielding highly accurate results, as demonstrated by various numerical examples. In addition, the solvers' excellent stability and accuracy properties are used to examine spurious modes encountered when time-domain integral equations are applied to closed surfaces. It is demonstrated that MOT solutions to the time domain EFIE and MFIE often are polluted by spurious modes at the cavity's resonant frequencies whereas those of the CFIE solver are devoid of such contamination.
Original languageEnglish (US)
Pages (from-to)2218-2229
Number of pages12
JournalIEEE Transactions on Antennas and Propagation
Volume69
Issue number4
DOIs
StatePublished - Apr 2021

Bibliographical note

KAUST Repository Item: Exported on 2021-04-26
Acknowledgements: This work was supported in part by the National Natural Science Foundation of China under Grant 61871220 and Grant 61601207, and in part by the Fundamental Research Funds for the Central Universities under Grant NP2020106.

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