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

Detalhes bibliográficos
Autor(a) principal: Aline Rocha de Assis
Data de Publicação: 2020
Outros Autores: Fernando José da Silva Moreira, José Ricardo Bergmann
Tipo de documento: Artigo
Idioma: por
Título da fonte: Repositório Institucional da UFMG
Texto Completo: https://doi.org/10.1590/2179-10742020v19i2813
http://hdl.handle.net/1843/69037
https://orcid.org/0000-0002-8048-4679
https://orcid.org/0000-0002-9115-9951
https://orcid.org/0000-0002-1433-7865
Resumo: CNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
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repository_id_str
spelling 2024-06-10T19:22:52Z2024-06-10T19:22:52Z2020192177190https://doi.org/10.1590/2179-10742020v19i28132179-1074http://hdl.handle.net/1843/69037https://orcid.org/0000-0002-8048-4679https://orcid.org/0000-0002-9115-9951https://orcid.org/0000-0002-1433-7865CNPq - Conselho Nacional de Desenvolvimento Científico e TecnológicoCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível SuperiorThis 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.porUniversidade Federal de Minas GeraisUFMGBrasilENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICAJournal of Microwaves, Optoelectronics and Electromagnetic ApplicationsMicroondasÓticaOffset dual-reflector antennasGeometrical Optics (GO)Monge-Ampère equationAxis-displaced confocal quadricsGO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadricsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttps://www.scielo.br/j/jmoea/a/KrRLj8yFDjnFLVtyXkqDRCB/?lang=enAline Rocha de AssisFernando José da Silva MoreiraJosé Ricardo Bergmannapplication/pdfinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFMGinstname:Universidade Federal de Minas Gerais (UFMG)instacron:UFMGLICENSELicense.txtLicense.txttext/plain; charset=utf-82042https://repositorio.ufmg.br/bitstream/1843/69037/1/License.txtfa505098d172de0bc8864fc1287ffe22MD51ORIGINALGO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadrics.pdfGO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadrics.pdfapplication/pdf789563https://repositorio.ufmg.br/bitstream/1843/69037/2/GO%20Synthesis%20of%20Offset%20Dual%20Reflector%20Antennas%20Using%20Local%20Axis-Displaced%20Confocal%20Quadrics.pdf1561279a157f0260ddd82b84c6962ce2MD521843/690372024-06-10 16:22:53.424oai:repositorio.ufmg.br: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Repositório de PublicaçõesPUBhttps://repositorio.ufmg.br/oaiopendoar:2024-06-10T19:22:53Repositório Institucional da UFMG - Universidade Federal de Minas Gerais (UFMG)false
dc.title.pt_BR.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
Aline Rocha de Assis
Offset dual-reflector antennas
Geometrical Optics (GO)
Monge-Ampère equation
Axis-displaced confocal quadrics
Microondas
Ótica
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 Aline Rocha de Assis
author_facet Aline Rocha de Assis
Fernando José da Silva Moreira
José Ricardo Bergmann
author_role author
author2 Fernando José da Silva Moreira
José Ricardo Bergmann
author2_role author
author
dc.contributor.author.fl_str_mv Aline Rocha de Assis
Fernando José da Silva Moreira
José Ricardo Bergmann
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
Microondas
Ótica
dc.subject.other.pt_BR.fl_str_mv Microondas
Ótica
description CNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
publishDate 2020
dc.date.issued.fl_str_mv 2020
dc.date.accessioned.fl_str_mv 2024-06-10T19:22:52Z
dc.date.available.fl_str_mv 2024-06-10T19:22:52Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1843/69037
dc.identifier.doi.pt_BR.fl_str_mv https://doi.org/10.1590/2179-10742020v19i2813
dc.identifier.issn.pt_BR.fl_str_mv 2179-1074
dc.identifier.orcid.pt_BR.fl_str_mv https://orcid.org/0000-0002-8048-4679
https://orcid.org/0000-0002-9115-9951
https://orcid.org/0000-0002-1433-7865
url https://doi.org/10.1590/2179-10742020v19i2813
http://hdl.handle.net/1843/69037
https://orcid.org/0000-0002-8048-4679
https://orcid.org/0000-0002-9115-9951
https://orcid.org/0000-0002-1433-7865
identifier_str_mv 2179-1074
dc.language.iso.fl_str_mv por
language por
dc.relation.ispartof.pt_BR.fl_str_mv Journal of Microwaves, Optoelectronics and Electromagnetic Applications
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.publisher.initials.fl_str_mv UFMG
dc.publisher.country.fl_str_mv Brasil
dc.publisher.department.fl_str_mv ENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
publisher.none.fl_str_mv Universidade Federal de Minas Gerais
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFMG
instname:Universidade Federal de Minas Gerais (UFMG)
instacron:UFMG
instname_str Universidade Federal de Minas Gerais (UFMG)
instacron_str UFMG
institution UFMG
reponame_str Repositório Institucional da UFMG
collection Repositório Institucional da UFMG
bitstream.url.fl_str_mv https://repositorio.ufmg.br/bitstream/1843/69037/1/License.txt
https://repositorio.ufmg.br/bitstream/1843/69037/2/GO%20Synthesis%20of%20Offset%20Dual%20Reflector%20Antennas%20Using%20Local%20Axis-Displaced%20Confocal%20Quadrics.pdf
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