Transient analysis of electromagnetic wave interactions on plasmonic nanostructures using a surface integral equation solver

Handle URI:
http://hdl.handle.net/10754/622612
Title:
Transient analysis of electromagnetic wave interactions on plasmonic nanostructures using a surface integral equation solver
Authors:
Uysal, Ismail Enes ( 0000-0003-4053-769X ) ; Ulku, Huseyin Arda ( 0000-0003-4682-3902 ) ; Bagci, Hakan ( 0000-0003-3867-5786 )
Abstract:
Transient electromagnetic interactions on plasmonic nanostructures are analyzed by solving the Poggio-Miller-Chan-Harrington-Wu-Tsai (PMCHWT) surface integral equation (SIE). Equivalent (unknown) electric and magnetic current densities, which are introduced on the surfaces of the nanostructures, are expanded using Rao-Wilton-Glisson and polynomial basis functions in space and time, respectively. Inserting this expansion into the PMCHWT-SIE and Galerkin testing the resulting equation at discrete times yield a system of equations that is solved for the current expansion coefficients by a marching on-in-time (MOT) scheme. The resulting MOT-PMCHWT-SIE solver calls for computation of additional convolutions between the temporal basis function and the plasmonic medium's permittivity and Green function. This computation is carried out with almost no additional cost and without changing the computational complexity of the solver. Time-domain samples of the permittivity and the Green function required by these convolutions are obtained from their frequency-domain samples using a fast relaxed vector fitting algorithm. Numerical results demonstrate the accuracy and applicability of the proposed MOT-PMCHWT solver. © 2016 Optical Society of America.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Uysal IE, Arda Ülkü H, Bağci H (2016) Transient analysis of electromagnetic wave interactions on plasmonic nanostructures using a surface integral equation solver. Journal of the Optical Society of America A 33: 1747. Available: http://dx.doi.org/10.1364/JOSAA.33.001747.
Publisher:
The Optical Society
Journal:
Journal of the Optical Society of America A
Issue Date:
9-Aug-2016
DOI:
10.1364/JOSAA.33.001747
Type:
Article
ISSN:
1084-7529; 1520-8532
Additional Links:
https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-33-9-1747
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorUysal, Ismail Enesen
dc.contributor.authorUlku, Huseyin Ardaen
dc.contributor.authorBagci, Hakanen
dc.date.accessioned2017-01-02T09:55:33Z-
dc.date.available2017-01-02T09:55:33Z-
dc.date.issued2016-08-09en
dc.identifier.citationUysal IE, Arda Ülkü H, Bağci H (2016) Transient analysis of electromagnetic wave interactions on plasmonic nanostructures using a surface integral equation solver. Journal of the Optical Society of America A 33: 1747. Available: http://dx.doi.org/10.1364/JOSAA.33.001747.en
dc.identifier.issn1084-7529en
dc.identifier.issn1520-8532en
dc.identifier.doi10.1364/JOSAA.33.001747en
dc.identifier.urihttp://hdl.handle.net/10754/622612-
dc.description.abstractTransient electromagnetic interactions on plasmonic nanostructures are analyzed by solving the Poggio-Miller-Chan-Harrington-Wu-Tsai (PMCHWT) surface integral equation (SIE). Equivalent (unknown) electric and magnetic current densities, which are introduced on the surfaces of the nanostructures, are expanded using Rao-Wilton-Glisson and polynomial basis functions in space and time, respectively. Inserting this expansion into the PMCHWT-SIE and Galerkin testing the resulting equation at discrete times yield a system of equations that is solved for the current expansion coefficients by a marching on-in-time (MOT) scheme. The resulting MOT-PMCHWT-SIE solver calls for computation of additional convolutions between the temporal basis function and the plasmonic medium's permittivity and Green function. This computation is carried out with almost no additional cost and without changing the computational complexity of the solver. Time-domain samples of the permittivity and the Green function required by these convolutions are obtained from their frequency-domain samples using a fast relaxed vector fitting algorithm. Numerical results demonstrate the accuracy and applicability of the proposed MOT-PMCHWT solver. © 2016 Optical Society of America.en
dc.publisherThe Optical Societyen
dc.relation.urlhttps://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-33-9-1747en
dc.titleTransient analysis of electromagnetic wave interactions on plasmonic nanostructures using a surface integral equation solveren
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalJournal of the Optical Society of America Aen
dc.contributor.institutionDepartment of Electronics Engineering, Gebze Technical University, Kocaeli, Turkeyen
kaust.authorUysal, Ismail Enesen
kaust.authorUlku, Huseyin Ardaen
kaust.authorBagci, Hakanen
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