Versatile and accurate schemes of discretization for the electromagnetic scattering analysis of arbitrarily shaped piecewise homogeneous objects

The discretization by the method of moments (MoM) of integral equations in the electromagnetic scattering analysis most often relies on divergence-conforming basis functions, such as the Rao–Wilton–Glisson (RWG) set, which preserve the normal continuity of the expanded currents across the edges aris...

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Autores: Sekulic, Ivan, Úbeda Farré, Eduard|||0000-0001-6759-0445, Rius Casals, Juan Manuel|||0000-0003-0606-5422
Tipo de documento: artigo
Data de publicação:2018
País:España
Recursos:Universitat Politècnica de Catalunya (UPC)
Repositório:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglês
OAI Identifier:oai:upcommons.upc.edu:2117/125620
Acesso em linha:https://hdl.handle.net/2117/125620
https://dx.doi.org/10.1016/j.jcp.2018.07.034
Access Level:Acceso aberto
Palavra-chave:Statistics
Electric fields
Probabilities
Integral equations
Composite objects
Method of moments (MoM)
Electric-field integral equation (EFIE)
Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) formulation
Nonconformal meshes
Estadística
Camps elèctrics
Probabilitats
Equacions integrals
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
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network_name_str España
repository_id_str
spelling Versatile and accurate schemes of discretization for the electromagnetic scattering analysis of arbitrarily shaped piecewise homogeneous objectsSekulic, IvanÚbeda Farré, Eduard|||0000-0001-6759-0445Rius Casals, Juan Manuel|||0000-0003-0606-5422StatisticsElectric fieldsProbabilitiesIntegral equationsComposite objectsIntegral equationsMethod of moments (MoM)Electric-field integral equation (EFIE)Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) formulationNonconformal meshesEstadísticaCamps elèctricsProbabilitatsEquacions integralsÀrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnèticaÀrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integralsThe discretization by the method of moments (MoM) of integral equations in the electromagnetic scattering analysis most often relies on divergence-conforming basis functions, such as the Rao–Wilton–Glisson (RWG) set, which preserve the normal continuity of the expanded currents across the edges arising from the discretization of the target boundary. Although for such schemes the boundary integrals become free from hypersingular kernel-contributions, which is numerically advantageous, their practical implementation in real-life scenarios becomes particularly cumbersome. Indeed, the application of the normal continuity condition on composite objects becomes elaborate and convoluted at junction-edges, where several regions intersect. Also, such edge-based schemes cannot even be applied to nonconformal meshes, where adjacent facets may not share single matching edges. In this paper, we present nonconforming schemes of discretization for the scattering analysis of complex objects based on the expansion of the boundary unknowns, electric or magnetic currents, with the facet-based monopolar-RWG set. We show with examples how these schemes exhibit great flexibility when handling composite piecewise homogeneous objects with junctions or targets modeled with nonconformal meshes. Furthermore, these schemes offer improved near- and far-field accuracy in the scattering analysis of electrically small single sharp-edged dielectric targets with moderate or high dielectric contrasts.Peer Reviewed20182018-12-0120182018-12-11journal articlehttp://purl.org/coar/resource_type/c_6501AMhttp://purl.org/coar/version/c_ab4af688f83e57aainfo:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/125620https://dx.doi.org/10.1016/j.jcp.2018.07.034reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/1256202026-05-27T15:37:01Z
dc.title.none.fl_str_mv Versatile and accurate schemes of discretization for the electromagnetic scattering analysis of arbitrarily shaped piecewise homogeneous objects
title Versatile and accurate schemes of discretization for the electromagnetic scattering analysis of arbitrarily shaped piecewise homogeneous objects
spellingShingle Versatile and accurate schemes of discretization for the electromagnetic scattering analysis of arbitrarily shaped piecewise homogeneous objects
Sekulic, Ivan
Statistics
Electric fields
Probabilities
Integral equations
Composite objects
Integral equations
Method of moments (MoM)
Electric-field integral equation (EFIE)
Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) formulation
Nonconformal meshes
Estadística
Camps elèctrics
Probabilitats
Equacions integrals
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
title_short Versatile and accurate schemes of discretization for the electromagnetic scattering analysis of arbitrarily shaped piecewise homogeneous objects
title_full Versatile and accurate schemes of discretization for the electromagnetic scattering analysis of arbitrarily shaped piecewise homogeneous objects
title_fullStr Versatile and accurate schemes of discretization for the electromagnetic scattering analysis of arbitrarily shaped piecewise homogeneous objects
title_full_unstemmed Versatile and accurate schemes of discretization for the electromagnetic scattering analysis of arbitrarily shaped piecewise homogeneous objects
title_sort Versatile and accurate schemes of discretization for the electromagnetic scattering analysis of arbitrarily shaped piecewise homogeneous objects
dc.creator.none.fl_str_mv Sekulic, Ivan
Úbeda Farré, Eduard|||0000-0001-6759-0445
Rius Casals, Juan Manuel|||0000-0003-0606-5422
author Sekulic, Ivan
author_facet Sekulic, Ivan
Úbeda Farré, Eduard|||0000-0001-6759-0445
Rius Casals, Juan Manuel|||0000-0003-0606-5422
author_role author
author2 Úbeda Farré, Eduard|||0000-0001-6759-0445
Rius Casals, Juan Manuel|||0000-0003-0606-5422
author2_role author
author
dc.subject.none.fl_str_mv Statistics
Electric fields
Probabilities
Integral equations
Composite objects
Integral equations
Method of moments (MoM)
Electric-field integral equation (EFIE)
Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) formulation
Nonconformal meshes
Estadística
Camps elèctrics
Probabilitats
Equacions integrals
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
topic Statistics
Electric fields
Probabilities
Integral equations
Composite objects
Integral equations
Method of moments (MoM)
Electric-field integral equation (EFIE)
Poggio-Miller-Chang-Harrington-Wu-Tsai (PMCHWT) formulation
Nonconformal meshes
Estadística
Camps elèctrics
Probabilitats
Equacions integrals
Àrees temàtiques de la UPC::Enginyeria de la telecomunicació::Radiocomunicació i exploració electromagnètica
Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
description The discretization by the method of moments (MoM) of integral equations in the electromagnetic scattering analysis most often relies on divergence-conforming basis functions, such as the Rao–Wilton–Glisson (RWG) set, which preserve the normal continuity of the expanded currents across the edges arising from the discretization of the target boundary. Although for such schemes the boundary integrals become free from hypersingular kernel-contributions, which is numerically advantageous, their practical implementation in real-life scenarios becomes particularly cumbersome. Indeed, the application of the normal continuity condition on composite objects becomes elaborate and convoluted at junction-edges, where several regions intersect. Also, such edge-based schemes cannot even be applied to nonconformal meshes, where adjacent facets may not share single matching edges. In this paper, we present nonconforming schemes of discretization for the scattering analysis of complex objects based on the expansion of the boundary unknowns, electric or magnetic currents, with the facet-based monopolar-RWG set. We show with examples how these schemes exhibit great flexibility when handling composite piecewise homogeneous objects with junctions or targets modeled with nonconformal meshes. Furthermore, these schemes offer improved near- and far-field accuracy in the scattering analysis of electrically small single sharp-edged dielectric targets with moderate or high dielectric contrasts.
publishDate 2018
dc.date.none.fl_str_mv 2018
2018-12-01
2018
2018-12-11
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
AM
http://purl.org/coar/version/c_ab4af688f83e57aa
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/125620
https://dx.doi.org/10.1016/j.jcp.2018.07.034
url https://hdl.handle.net/2117/125620
https://dx.doi.org/10.1016/j.jcp.2018.07.034
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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