On the static loop modes in the marching-on-in-time solution of the time-domain electric field integral equation

Handle URI:
http://hdl.handle.net/10754/563195
Title:
On the static loop modes in the 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:
When marching-on-in-time (MOT) method is applied to solve the time-domain electric field integral equation, spurious internal resonant and static loop modes are always observed in the solution. The internal resonant modes have recently been studied by the authors; this letter investigates the static loop modes. Like internal resonant modes, static loop modes, in theory, should not be observed in the MOT solution since they do not satisfy the zero initial conditions; their appearance is attributed to numerical errors. It is discussed in this letter that the dependence of spurious static loop modes on numerical errors is substantially different from that of spurious internal resonant modes. More specifically, when Rao-Wilton-Glisson functions and Lagrange interpolation functions are used as spatial and temporal basis functions, respectively, errors due to space-time discretization have no discernible impact on spurious static loop modes. Numerical experiments indeed support this discussion and demonstrate that the numerical errors due to the approximate solution of the MOT matrix system have dominant impact on spurious static loop modes in the MOT solution. © 2014 IEEE.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program; Computational Electromagnetics Laboratory
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
IEEE Antennas and Wireless Propagation Letters
Issue Date:
2014
DOI:
10.1109/LAWP.2014.2305716
Type:
Article
ISSN:
15361225
Sponsors:
This work was supported in part by the National Science Foundation under Grant ECCS 1303142 and the Center for Uncertainty Quantification in Computational Science and Engineering at KAUST.
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.accessioned2015-08-03T11:37:55Zen
dc.date.available2015-08-03T11:37:55Zen
dc.date.issued2014en
dc.identifier.issn15361225en
dc.identifier.doi10.1109/LAWP.2014.2305716en
dc.identifier.urihttp://hdl.handle.net/10754/563195en
dc.description.abstractWhen marching-on-in-time (MOT) method is applied to solve the time-domain electric field integral equation, spurious internal resonant and static loop modes are always observed in the solution. The internal resonant modes have recently been studied by the authors; this letter investigates the static loop modes. Like internal resonant modes, static loop modes, in theory, should not be observed in the MOT solution since they do not satisfy the zero initial conditions; their appearance is attributed to numerical errors. It is discussed in this letter that the dependence of spurious static loop modes on numerical errors is substantially different from that of spurious internal resonant modes. More specifically, when Rao-Wilton-Glisson functions and Lagrange interpolation functions are used as spatial and temporal basis functions, respectively, errors due to space-time discretization have no discernible impact on spurious static loop modes. Numerical experiments indeed support this discussion and demonstrate that the numerical errors due to the approximate solution of the MOT matrix system have dominant impact on spurious static loop modes in the MOT solution. © 2014 IEEE.en
dc.description.sponsorshipThis work was supported in part by the National Science Foundation under Grant ECCS 1303142 and the Center for Uncertainty Quantification in Computational Science and Engineering at KAUST.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.subjectElectric field integral equationen
dc.subjectmarching-on-in-timeen
dc.subjectnumerical analysisen
dc.subjectstatic loop modesen
dc.subjecttime domainen
dc.titleOn the static loop modes in the 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.departmentElectrical Engineering Programen
dc.contributor.departmentComputational Electromagnetics Laboratoryen
dc.identifier.journalIEEE Antennas and Wireless Propagation Lettersen
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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