On the internal resonant modes in marching-on-in-time solution of the time domain electric field integral equation

Handle URI:
http://hdl.handle.net/10754/562887
Title:
On the internal resonant modes in marching-on-in-time solution of the time domain electric field integral equation
Authors:
Shi, Yifei ( 0000-0002-3508-1010 ) ; Bagci, Hakan ( 0000-0003-3867-5786 ) ; Lu, Mingyu
Abstract:
Internal 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.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Center for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ); Electrical Engineering Program; Computational Electromagnetics Laboratory
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Transactions on Antennas and Propagation
Issue Date:
Aug-2013
DOI:
10.1109/TAP.2013.2261951
Type:
Article
ISSN:
0018926X
Sponsors:
This work was supported in part by National Science Foundation Grant ECCS 1303142.
Appears in Collections:
Articles; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorShi, Yifeien
dc.contributor.authorBagci, Hakanen
dc.contributor.authorLu, Mingyuen
dc.date.accessioned2015-08-03T11:14:11Zen
dc.date.available2015-08-03T11:14:11Zen
dc.date.issued2013-08en
dc.identifier.issn0018926Xen
dc.identifier.doi10.1109/TAP.2013.2261951en
dc.identifier.urihttp://hdl.handle.net/10754/562887en
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.en
dc.description.sponsorshipThis work was supported in part by National Science Foundation Grant ECCS 1303142.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectElectric field integral equationen
dc.subjectinternal resonant modesen
dc.subjectmarching-on-in-timeen
dc.subjectspaceen
dc.subjectnumerical analysisen
dc.subjecttime domainen
dc.titleOn the internal resonant modes in marching-on-in-time solution of the time domain electric field integral equationen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentCenter for Uncertainty Quantification in Computational Science and Engineering (SRI-UQ)en
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentComputational Electromagnetics Laboratoryen
dc.identifier.journalIEEE Transactions on Antennas and Propagationen
dc.contributor.institutionDepartment of Electrical and Computer Engineering, West Virginia University, Institute of Technology, Montgomery, WV 25136, United Statesen
kaust.authorShi, Yifeien
kaust.authorBagci, Hakanen
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