NUFFT for the Efficient Spectral Domain MoM Analysis of a Wide Variety of Multilayered Periodic Structures

In this paper the Method of Moments (MoM) in the spectral domain is used for the analysis of multilayered structures containing periodic arrays of either patches or apertures. The patches and apertures may have many different geometries including complex surfaces limited by two parallel lines and tw...

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Autores: Camacho Aguilar, Miguel, Rodríguez Boix, Rafael, Medina Mena, Francisco
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2019
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/97087
Acceso en línea:https://hdl.handle.net/11441/97087
https://doi.org/10.1109/TAP.2019.2920361
Access Level:acceso abierto
Palabra clave:Fourier transforms
Moment of methods (MoM)
Multilayered media
Periodic structures
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spelling NUFFT for the Efficient Spectral Domain MoM Analysis of a Wide Variety of Multilayered Periodic StructuresCamacho Aguilar, MiguelRodríguez Boix, RafaelMedina Mena, FranciscoFourier transformsMoment of methods (MoM)Multilayered mediaPeriodic structuresIn this paper the Method of Moments (MoM) in the spectral domain is used for the analysis of multilayered structures containing periodic arrays of either patches or apertures. The patches and apertures may have many different geometries including complex surfaces limited by two parallel lines and two arbitrary curves, circular and elliptic rings, circular and elliptic arcs, and circular and elliptic sectors. Basis functions accounting for edge singularities are used in the approximation of the electric/magnetic current density on the patches/apertures, which enables a fast convergence of MoM with respect to the number of basis functions. Since the 2-D Fourier transforms of the basis functions cannot be obtained in closed-form, these Fourier transforms are efficiently computed by means of the nonuniform fast Fourier transform (NUFFT) algorithm. Results have been obtained for frequency-selective surfaces (FSSs), and for the elements used in the design of both reflectarray and metasurface antennas. The results obtained indicate that the software based on the NUFFT is only 15% slower than the standard spectral domain MoM software used for structures in which the 2-D Fourier transform of the basis functions is analytical, and between 50 and 80 times faster than CST.Engineering and Physical Sciences Research Council (EPSRC) U.K. EP/L015331/1Junta de Andalucía P12-TIC-1435Ministerio de Ciencia, Innovación y Universidades TEC2016-75103-C2-1-R, TEC2017-84724-PInstitute of Electrical and Electronics EngineersElectrónica y Electromagnetismo2019info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/97087https://doi.org/10.1109/TAP.2019.2920361reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésIEEE Transactions on Antennas and Propagation, 67 (10), 6551-6563.EP/L015331/1P12-TIC-1435TEC2016-75103-C2-1-RTEC2017-84724-Phttps://doi.org/10.1109/TAP.2019.2920361info:eu-repo/semantics/openAccessoai:idus.us.es:11441/970872026-06-17T12:51:07Z
dc.title.none.fl_str_mv NUFFT for the Efficient Spectral Domain MoM Analysis of a Wide Variety of Multilayered Periodic Structures
title NUFFT for the Efficient Spectral Domain MoM Analysis of a Wide Variety of Multilayered Periodic Structures
spellingShingle NUFFT for the Efficient Spectral Domain MoM Analysis of a Wide Variety of Multilayered Periodic Structures
Camacho Aguilar, Miguel
Fourier transforms
Moment of methods (MoM)
Multilayered media
Periodic structures
title_short NUFFT for the Efficient Spectral Domain MoM Analysis of a Wide Variety of Multilayered Periodic Structures
title_full NUFFT for the Efficient Spectral Domain MoM Analysis of a Wide Variety of Multilayered Periodic Structures
title_fullStr NUFFT for the Efficient Spectral Domain MoM Analysis of a Wide Variety of Multilayered Periodic Structures
title_full_unstemmed NUFFT for the Efficient Spectral Domain MoM Analysis of a Wide Variety of Multilayered Periodic Structures
title_sort NUFFT for the Efficient Spectral Domain MoM Analysis of a Wide Variety of Multilayered Periodic Structures
dc.creator.none.fl_str_mv Camacho Aguilar, Miguel
Rodríguez Boix, Rafael
Medina Mena, Francisco
author Camacho Aguilar, Miguel
author_facet Camacho Aguilar, Miguel
Rodríguez Boix, Rafael
Medina Mena, Francisco
author_role author
author2 Rodríguez Boix, Rafael
Medina Mena, Francisco
author2_role author
author
dc.contributor.none.fl_str_mv Electrónica y Electromagnetismo
dc.subject.none.fl_str_mv Fourier transforms
Moment of methods (MoM)
Multilayered media
Periodic structures
topic Fourier transforms
Moment of methods (MoM)
Multilayered media
Periodic structures
description In this paper the Method of Moments (MoM) in the spectral domain is used for the analysis of multilayered structures containing periodic arrays of either patches or apertures. The patches and apertures may have many different geometries including complex surfaces limited by two parallel lines and two arbitrary curves, circular and elliptic rings, circular and elliptic arcs, and circular and elliptic sectors. Basis functions accounting for edge singularities are used in the approximation of the electric/magnetic current density on the patches/apertures, which enables a fast convergence of MoM with respect to the number of basis functions. Since the 2-D Fourier transforms of the basis functions cannot be obtained in closed-form, these Fourier transforms are efficiently computed by means of the nonuniform fast Fourier transform (NUFFT) algorithm. Results have been obtained for frequency-selective surfaces (FSSs), and for the elements used in the design of both reflectarray and metasurface antennas. The results obtained indicate that the software based on the NUFFT is only 15% slower than the standard spectral domain MoM software used for structures in which the 2-D Fourier transform of the basis functions is analytical, and between 50 and 80 times faster than CST.
publishDate 2019
dc.date.none.fl_str_mv 2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/97087
https://doi.org/10.1109/TAP.2019.2920361
url https://hdl.handle.net/11441/97087
https://doi.org/10.1109/TAP.2019.2920361
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv IEEE Transactions on Antennas and Propagation, 67 (10), 6551-6563.
EP/L015331/1
P12-TIC-1435
TEC2016-75103-C2-1-R
TEC2017-84724-P
https://doi.org/10.1109/TAP.2019.2920361
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers
publisher.none.fl_str_mv Institute of Electrical and Electronics Engineers
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.301629

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