A calderón-preconditioned single source combined field integral equation for analyzing scattering from homogeneous penetrable objects

Handle URI:
http://hdl.handle.net/10754/561791
Title:
A calderón-preconditioned single source combined field integral equation for analyzing scattering from homogeneous penetrable objects
Authors:
Valdés, Felipe; Andriulli, Francesco P.; Bagci, Hakan ( 0000-0003-3867-5786 ) ; Michielssen, Eric
Abstract:
A new regularized single source equation for analyzing scattering from homogeneous penetrable objects is presented. The proposed equation is a linear combination of a Calderón-preconditioned single source electric field integral equation and a single source magnetic field integral equation. The equation is immune to low-frequency and dense-mesh breakdown, and free from spurious resonances. Unlike dual source formulations, this equation involves operator products that cannot be discretized using standard procedures for discretizing standalone electric, magnetic, and combined field operators. Instead, the single source equation proposed here is discretized using a recently developed technique that achieves a well-conditioned mapping from div- to curl-conforming function spaces, thereby fully respecting the space mapping properties of the operators involved, and guaranteeing accuracy and stability. Numerical results show that the proposed equation and discretization technique give rise to rapidly convergent solutions. They also validate the equation's resonant free character. © 2006 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:
Jun-2011
DOI:
10.1109/TAP.2011.2143671
Type:
Article
ISSN:
0018926X
Sponsors:
Manuscript received March 26, 2010; revised September 14, 2010; accepted November 08, 2010. Date of publication May 02, 2011; date of current version June 02, 2011. This work was supported by the National Science Foundation Grant DMS 0713771, by the AFOSR STTR Contract F026043-00, by a Grant from Sandia National Laboratory, by the KAUST Grant 399813, and by the AFOSR/NSSEFF Program Award FA9550-10-1-0180.
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.accessioned2015-08-03T09:04:42Zen
dc.date.available2015-08-03T09:04:42Zen
dc.date.issued2011-06en
dc.identifier.issn0018926Xen
dc.identifier.doi10.1109/TAP.2011.2143671en
dc.identifier.urihttp://hdl.handle.net/10754/561791en
dc.description.abstractA new regularized single source equation for analyzing scattering from homogeneous penetrable objects is presented. The proposed equation is a linear combination of a Calderón-preconditioned single source electric field integral equation and a single source magnetic field integral equation. The equation is immune to low-frequency and dense-mesh breakdown, and free from spurious resonances. Unlike dual source formulations, this equation involves operator products that cannot be discretized using standard procedures for discretizing standalone electric, magnetic, and combined field operators. Instead, the single source equation proposed here is discretized using a recently developed technique that achieves a well-conditioned mapping from div- to curl-conforming function spaces, thereby fully respecting the space mapping properties of the operators involved, and guaranteeing accuracy and stability. Numerical results show that the proposed equation and discretization technique give rise to rapidly convergent solutions. They also validate the equation's resonant free character. © 2006 IEEE.en
dc.description.sponsorshipManuscript received March 26, 2010; revised September 14, 2010; accepted November 08, 2010. Date of publication May 02, 2011; date of current version June 02, 2011. This work was supported by the National Science Foundation Grant DMS 0713771, by the AFOSR STTR Contract F026043-00, by a Grant from Sandia National Laboratory, by the KAUST Grant 399813, and by the AFOSR/NSSEFF Program Award FA9550-10-1-0180.en
dc.publisherInstitute of Electrical and Electronics Engineersen
dc.subjectCombined field integral equation (CFIE)en
dc.subjectnumerical methodsen
dc.subjectpreconditioningen
dc.subjectregularizationen
dc.subjectsingle source integral equationsen
dc.titleA calderón-preconditioned single source combined field integral equation 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.institutionMicrowave Department, École Nationale Supérieure des Télé communications de Bretagne, Brest, Franceen
kaust.authorBagci, Hakanen
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