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dc.contributor.authorShi, Yifei
dc.contributor.authorBagci, Hakan
dc.contributor.authorLu, Mingyu
dc.date.accessioned2015-08-03T11:14:11Z
dc.date.available2015-08-03T11:14:11Z
dc.date.issued2013-08
dc.identifier.issn0018926X
dc.identifier.doi10.1109/TAP.2013.2261951
dc.identifier.urihttp://hdl.handle.net/10754/562887
dc.description.abstractInternal resonant modes are always observed in the marching-on-in-time (MOT) solution of the time domain electric field integral equation (EFIE), although 'relaxed initial conditions,' which are enforced at the beginning of time marching, should in theory prevent these spurious modes from appearing. It has been conjectured that, numerical errors built up during time marching establish the necessary initial conditions and induce the internal resonant modes. However, this conjecture has never been proved by systematic numerical experiments. Our numerical results in this communication demonstrate that, the internal resonant modes' amplitudes are indeed dictated by the numerical errors. Additionally, it is shown that in a few cases, the internal resonant modes can be made 'invisible' by significantly suppressing the numerical errors. These tests prove the conjecture that the internal resonant modes are induced by numerical errors when the time domain EFIE is solved by the MOT method. © 2013 IEEE.
dc.description.sponsorshipThis work was supported in part by National Science Foundation Grant ECCS 1303142.
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)
dc.subjectElectric field integral equation
dc.subjectinternal resonant modes
dc.subjectmarching-on-in-time
dc.subjectspace
dc.subjectnumerical analysis
dc.subjecttime domain
dc.titleOn the internal resonant modes in marching-on-in-time solution of the time domain electric field integral equation
dc.typeArticle
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentCenter for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)
dc.contributor.departmentElectrical Engineering Program
dc.contributor.departmentComputational Electromagnetics Laboratory
dc.identifier.journalIEEE Transactions on Antennas and Propagation
dc.contributor.institutionDepartment of Electrical and Computer Engineering, West Virginia University, Institute of Technology, Montgomery, WV 25136, United States
kaust.personShi, Yifei
kaust.personBagci, Hakan


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