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: | 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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Journal of Microwaves. Optoelectronics and Electromagnetic Applications |
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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 |
format |
article |
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) |
instacron_str |
SBMO |
institution |
SBMO |
reponame_str |
Journal of Microwaves. Optoelectronics and Electromagnetic Applications |
collection |
Journal of Microwaves. Optoelectronics and Electromagnetic Applications |
repository.name.fl_str_mv |
Journal of Microwaves. Optoelectronics and Electromagnetic Applications - Sociedade Brasileira de Microondas e Optoeletrônica (SBMO) |
repository.mail.fl_str_mv |
||editor_jmoe@sbmo.org.br |
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1752122126688583680 |