Time-domain single-source integral equations for analyzing scattering from homogeneous penetrable objects

Handle URI:
http://hdl.handle.net/10754/562675
Title:
Time-domain single-source integral equations for analyzing scattering from homogeneous penetrable objects
Authors:
Valdés, Felipe; Andriulli, Francesco P.; Bagci, Hakan ( 0000-0003-3867-5786 ) ; Michielssen, Eric
Abstract:
Single-source time-domain electric-and magnetic-field integral equations for analyzing scattering from homogeneous penetrable objects are presented. Their temporal discretization is effected by using shifted piecewise polynomial temporal basis functions and a collocation testing procedure, thus allowing for a marching-on-in-time (MOT) solution scheme. Unlike dual-source formulations, single-source equations involve space-time domain operator products, for which spatial discretization techniques developed for standalone operators do not apply. Here, the spatial discretization of the single-source time-domain integral equations is achieved by using the high-order divergence-conforming basis functions developed by Graglia alongside the high-order divergence-and quasi curl-conforming (DQCC) basis functions of Valdés The combination of these two sets allows for a well-conditioned mapping from div-to curl-conforming function spaces that fully respects the space-mapping properties of the space-time operators involved. Numerical results corroborate the fact that the proposed procedure guarantees accuracy and stability of the MOT scheme. © 2012 IEEE.
KAUST Department:
Physical Sciences and Engineering (PSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Electrical Engineering Program; Computational Electromagnetics Laboratory
Publisher:
Institute of Electrical and Electronics Engineers
Journal:
IEEE Transactions on Antennas and Propagation
Issue Date:
Mar-2013
DOI:
10.1109/TAP.2012.2227655
Type:
Article
ISSN:
0018926X
Sponsors:
Manuscript received February 17, 2012; revised June 15, 2012; accepted August 20, 2012. Date of publication November 15, 2012; date of current version February 27, 2013. This work was supported by the National Science Foundation under Grant DMS 0713771, the AFOSR/NSSEFF Program under Award FA9550-10-1-0180, Sandia under the Grant "Development of Calderon Multiplicative Preconditioners with Method of Moments Algorithms,", the Institut Mines-Telecom under the Grant "Futur et Ruptures CPCR11322," and KAUST uder Grant 399813.
Appears in Collections:
Articles; Physical Sciences and Engineering (PSE) Division; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorValdés, Felipeen
dc.contributor.authorAndriulli, Francesco P.en
dc.contributor.authorBagci, Hakanen
dc.contributor.authorMichielssen, Ericen
dc.date.accessioned2015-08-03T11:00:57Zen
dc.date.available2015-08-03T11:00:57Zen
dc.date.issued2013-03en
dc.identifier.issn0018926Xen
dc.identifier.doi10.1109/TAP.2012.2227655en
dc.identifier.urihttp://hdl.handle.net/10754/562675en
dc.description.abstractSingle-source time-domain electric-and magnetic-field integral equations for analyzing scattering from homogeneous penetrable objects are presented. Their temporal discretization is effected by using shifted piecewise polynomial temporal basis functions and a collocation testing procedure, thus allowing for a marching-on-in-time (MOT) solution scheme. Unlike dual-source formulations, single-source equations involve space-time domain operator products, for which spatial discretization techniques developed for standalone operators do not apply. Here, the spatial discretization of the single-source time-domain integral equations is achieved by using the high-order divergence-conforming basis functions developed by Graglia alongside the high-order divergence-and quasi curl-conforming (DQCC) basis functions of Valdés The combination of these two sets allows for a well-conditioned mapping from div-to curl-conforming function spaces that fully respects the space-mapping properties of the space-time operators involved. Numerical results corroborate the fact that the proposed procedure guarantees accuracy and stability of the MOT scheme. © 2012 IEEE.en
dc.description.sponsorshipManuscript received February 17, 2012; revised June 15, 2012; accepted August 20, 2012. Date of publication November 15, 2012; date of current version February 27, 2013. This work was supported by the National Science Foundation under Grant DMS 0713771, the AFOSR/NSSEFF Program under Award FA9550-10-1-0180, Sandia under the Grant "Development of Calderon Multiplicative Preconditioners with Method of Moments Algorithms,", the Institut Mines-Telecom under the Grant "Futur et Ruptures CPCR11322," and KAUST uder Grant 399813.en
dc.publisherInstitute of Electrical and Electronics Engineersen
dc.subjectMarching on in time (MOT)en
dc.subjectnumerical methodsen
dc.subjectsingle-source integral equationsen
dc.subjecttime-domain integral equations (TDIEs)en
dc.titleTime-domain single-source integral equations for analyzing scattering from homogeneous penetrable objectsen
dc.typeArticleen
dc.contributor.departmentPhysical Sciences and Engineering (PSE) Divisionen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentComputational Electromagnetics Laboratoryen
dc.identifier.journalIEEE Transactions on Antennas and Propagationen
dc.contributor.institutionElectrical Engineering and Computer Science Department, University of Michigan, Ann Arbor, MI 48109, United Statesen
dc.contributor.institutionNimbic, Inc., Santiago, Chileen
dc.contributor.institutionMicrowave Department of the Ecole Nationale Superieure des Telecommunications de Bretagne, 29238 Brest, Franceen
kaust.authorBagci, Hakanen
All Items in KAUST are protected by copyright, with all rights reserved, unless otherwise indicated.