GO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadrics

Detalhes bibliográficos
Autor(a) principal: Assis,Aline R.
Data de Publicação: 2020
Outros Autores: Moreira,Fernando J. S., Bergmann,José R.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Journal of Microwaves. Optoelectronics and Electromagnetic Applications
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742020000200177
Resumo: Abstract This work investigates an alternative numerical scheme for the solution of an exact formulation based on Geometrical Optics (GO) principles to synthesize offset dual reflector antennas. The technique is suited to solve a second-order nonlinear partial differential equation of the Monge-Ampère type as a boundary value problem. An iterative algorithm based on Newton's method was developed, using axis-displaced confocal quadrics to locally represent the subreflector surface, thus enabling an analytical description of the partial derivatives within the formulation. Such approach reduces discretization errors, as exact expressions for the mapping function and its derivatives are analytically determined. To check the robustness of the methodology, an offset dual-reflector Gregorian antenna was shaped to provide a Gaussian aperture field distribution with uniform phase within a superelliptical contour. The shaped surfaces were further interpolated by quintic pseudo-splines and analyzed by Physical Optics (PO) with equivalent edge currents to validate the synthesis procedure at 11,725 GHz.
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spelling GO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal QuadricsOffset dual-reflector antennasgeometrical optics (GO)Monge-Ampère equationaxis-displaced confocal quadricsAbstract This work investigates an alternative numerical scheme for the solution of an exact formulation based on Geometrical Optics (GO) principles to synthesize offset dual reflector antennas. The technique is suited to solve a second-order nonlinear partial differential equation of the Monge-Ampère type as a boundary value problem. An iterative algorithm based on Newton's method was developed, using axis-displaced confocal quadrics to locally represent the subreflector surface, thus enabling an analytical description of the partial derivatives within the formulation. Such approach reduces discretization errors, as exact expressions for the mapping function and its derivatives are analytically determined. To check the robustness of the methodology, an offset dual-reflector Gregorian antenna was shaped to provide a Gaussian aperture field distribution with uniform phase within a superelliptical contour. The shaped surfaces were further interpolated by quintic pseudo-splines and analyzed by Physical Optics (PO) with equivalent edge currents to validate the synthesis procedure at 11,725 GHz.Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo2020-06-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742020000200177Journal of Microwaves, Optoelectronics and Electromagnetic Applications v.19 n.2 2020reponame:Journal of Microwaves. Optoelectronics and Electromagnetic Applicationsinstname:Sociedade Brasileira de Microondas e Optoeletrônica (SBMO)instacron:SBMO10.1590/2179-10742020v19i2813info:eu-repo/semantics/openAccessAssis,Aline R.Moreira,Fernando J. S.Bergmann,José R.eng2020-06-03T00:00:00Zoai:scielo:S2179-10742020000200177Revistahttp://www.jmoe.org/index.php/jmoe/indexONGhttps://old.scielo.br/oai/scielo-oai.php||editor_jmoe@sbmo.org.br2179-10742179-1074opendoar:2020-06-03T00:00Journal of Microwaves. Optoelectronics and Electromagnetic Applications - Sociedade Brasileira de Microondas e Optoeletrônica (SBMO)false
dc.title.none.fl_str_mv GO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadrics
title GO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadrics
spellingShingle GO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadrics
Assis,Aline R.
Offset dual-reflector antennas
geometrical optics (GO)
Monge-Ampère equation
axis-displaced confocal quadrics
title_short GO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadrics
title_full GO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadrics
title_fullStr GO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadrics
title_full_unstemmed GO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadrics
title_sort GO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadrics
author Assis,Aline R.
author_facet Assis,Aline R.
Moreira,Fernando J. S.
Bergmann,José R.
author_role author
author2 Moreira,Fernando J. S.
Bergmann,José R.
author2_role author
author
dc.contributor.author.fl_str_mv Assis,Aline R.
Moreira,Fernando J. S.
Bergmann,José R.
dc.subject.por.fl_str_mv Offset dual-reflector antennas
geometrical optics (GO)
Monge-Ampère equation
axis-displaced confocal quadrics
topic Offset dual-reflector antennas
geometrical optics (GO)
Monge-Ampère equation
axis-displaced confocal quadrics
description Abstract This work investigates an alternative numerical scheme for the solution of an exact formulation based on Geometrical Optics (GO) principles to synthesize offset dual reflector antennas. The technique is suited to solve a second-order nonlinear partial differential equation of the Monge-Ampère type as a boundary value problem. An iterative algorithm based on Newton's method was developed, using axis-displaced confocal quadrics to locally represent the subreflector surface, thus enabling an analytical description of the partial derivatives within the formulation. Such approach reduces discretization errors, as exact expressions for the mapping function and its derivatives are analytically determined. To check the robustness of the methodology, an offset dual-reflector Gregorian antenna was shaped to provide a Gaussian aperture field distribution with uniform phase within a superelliptical contour. The shaped surfaces were further interpolated by quintic pseudo-splines and analyzed by Physical Optics (PO) with equivalent edge currents to validate the synthesis procedure at 11,725 GHz.
publishDate 2020
dc.date.none.fl_str_mv 2020-06-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742020000200177
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-10742020000200177
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/2179-10742020v19i2813
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo
publisher.none.fl_str_mv Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo
dc.source.none.fl_str_mv Journal of Microwaves, Optoelectronics and Electromagnetic Applications v.19 n.2 2020
reponame:Journal of Microwaves. Optoelectronics and Electromagnetic Applications
instname:Sociedade Brasileira de Microondas e Optoeletrônica (SBMO)
instacron:SBMO
instname_str Sociedade Brasileira de Microondas e Optoeletrônica (SBMO)
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institution SBMO
reponame_str Journal of Microwaves. Optoelectronics and Electromagnetic Applications
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repository.name.fl_str_mv Journal of Microwaves. Optoelectronics and Electromagnetic Applications - Sociedade Brasileira de Microondas e Optoeletrônica (SBMO)
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