GO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadrics
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , |
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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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 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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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 |
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reponame:Repositório Institucional da UFMG instname:Universidade Federal de Minas Gerais (UFMG) instacron:UFMG |
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Repositório Institucional da UFMG |
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