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

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dc.creatorAline Rocha de Assis
dc.creatorFernando José da Silva Moreira
dc.creatorJosé Ricardo Bergmann
dc.date.accessioned2024-06-10T19:22:52Z
dc.date.accessioned2025-09-08T23:20:40Z
dc.date.available2024-06-10T19:22:52Z
dc.date.issued2020
dc.description.sponsorshipCNPq - Conselho Nacional de Desenvolvimento Científico e Tecnológico
dc.description.sponsorshipCAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior
dc.format.mimetypepdf
dc.identifier.doihttps://doi.org/10.1590/2179-10742020v19i2813
dc.identifier.issn2179-1074
dc.identifier.urihttps://hdl.handle.net/1843/69037
dc.languagepor
dc.publisherUniversidade Federal de Minas Gerais
dc.relation.ispartofJournal of Microwaves, Optoelectronics and Electromagnetic Applications
dc.rightsAcesso Aberto
dc.subjectMicroondas
dc.subjectÓtica
dc.subject.otherOffset dual-reflector antennas
dc.subject.otherGeometrical Optics (GO)
dc.subject.otherMonge-Ampère equation
dc.subject.otherAxis-displaced confocal quadrics
dc.titleGO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadrics
dc.typeArtigo de periódico
local.citation.epage190
local.citation.issue2
local.citation.spage177
local.citation.volume19
local.description.resumoThis 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.
local.identifier.orcidhttps://orcid.org/0000-0002-8048-4679
local.identifier.orcidhttps://orcid.org/0000-0002-9115-9951
local.identifier.orcidhttps://orcid.org/0000-0002-1433-7865
local.publisher.countryBrasil
local.publisher.departmentENG - DEPARTAMENTO DE ENGENHARIA ELETRÔNICA
local.publisher.initialsUFMG
local.url.externahttps://www.scielo.br/j/jmoea/a/KrRLj8yFDjnFLVtyXkqDRCB/?lang=en

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