Recent advances in marching-on-in-time schemes for solving time domain volume integral equations

Handle URI:
http://hdl.handle.net/10754/581772
Title:
Recent advances in marching-on-in-time schemes for solving time domain volume integral equations
Authors:
Sayed, Sadeed Bin; Ulku, Huseyin Arda ( 0000-0003-4682-3902 ) ; Bagci, Hakan ( 0000-0003-3867-5786 )
Abstract:
Transient electromagnetic field interactions on inhomogeneous penetrable scatterers can be analyzed by solving time domain volume integral equations (TDVIEs). TDVIEs are constructed by setting the summation of the incident and scattered field intensities to the total field intensity on the volumetric support of the scatterer. The unknown can be the field intensity or flux/current density. Representing the total field intensity in terms of the unknown using the relevant constitutive relation and the scattered field intensity in terms of the spatiotemporal convolution of the unknown with the Green function yield the final form of the TDVIE. The unknown is expanded in terms of local spatial and temporal basis functions. Inserting this expansion into the TDVIE and testing the resulting equation at discrete times yield a system of equations that is solved by the marching on-in-time (MOT) scheme. At each time step, a smaller system of equations, termed MOT system is solved for the coefficients of the expansion. The right-hand side of this system consists of the tested incident field and discretized spatio-temporal convolution of the unknown samples computed at the previous time steps with the Green function.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Publisher:
Institute of Electrical and Electronics Engineers (IEEE)
Journal:
2015 1st URSI Atlantic Radio Science Conference (URSI AT-RASC)
Conference/Event name:
2015 1st URSI Atlantic Radio Science Conference (URSI AT-RASC)
Issue Date:
16-May-2015
DOI:
10.1109/URSI-AT-RASC.2015.7302948
Type:
Conference Paper
Additional Links:
http://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7302948
Appears in Collections:
Conference Papers; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorSayed, Sadeed Binen
dc.contributor.authorUlku, Huseyin Ardaen
dc.contributor.authorBagci, Hakanen
dc.date.accessioned2015-11-05T06:31:25Zen
dc.date.available2015-11-05T06:31:25Zen
dc.date.issued2015-05-16en
dc.identifier.doi10.1109/URSI-AT-RASC.2015.7302948en
dc.identifier.urihttp://hdl.handle.net/10754/581772en
dc.description.abstractTransient electromagnetic field interactions on inhomogeneous penetrable scatterers can be analyzed by solving time domain volume integral equations (TDVIEs). TDVIEs are constructed by setting the summation of the incident and scattered field intensities to the total field intensity on the volumetric support of the scatterer. The unknown can be the field intensity or flux/current density. Representing the total field intensity in terms of the unknown using the relevant constitutive relation and the scattered field intensity in terms of the spatiotemporal convolution of the unknown with the Green function yield the final form of the TDVIE. The unknown is expanded in terms of local spatial and temporal basis functions. Inserting this expansion into the TDVIE and testing the resulting equation at discrete times yield a system of equations that is solved by the marching on-in-time (MOT) scheme. At each time step, a smaller system of equations, termed MOT system is solved for the coefficients of the expansion. The right-hand side of this system consists of the tested incident field and discretized spatio-temporal convolution of the unknown samples computed at the previous time steps with the Green function.en
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.urlhttp://ieeexplore.ieee.org/lpdocs/epic03/wrapper.htm?arnumber=7302948en
dc.rights(c) 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, including reprinting/ republishing this material for advertising or promotional purposes, creating new collective works for resale or redistribution to servers or lists, or reuse of any copyrighted components of this work in other works.en
dc.titleRecent advances in marching-on-in-time schemes for solving time domain volume integral equationsen
dc.typeConference Paperen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journal2015 1st URSI Atlantic Radio Science Conference (URSI AT-RASC)en
dc.conference.date16-24 May 2015en
dc.conference.name2015 1st URSI Atlantic Radio Science Conference (URSI AT-RASC)en
dc.conference.locationGran Canaria, Spainen
dc.eprint.versionPost-printen
dc.contributor.institutionDepartment of Electronics Engineering Gebze Institute of Technology, Kocaeli, Turkeyen
kaust.authorSayed, Sadeed Binen
kaust.authorUlku, Huseyin Ardaen
kaust.authorBagci, Hakanen
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