Assis, Aline Rocha deMoreira, Fernando José da SilvaBergmann, José Ricardo2022-02-252022-02-252020ASSIS, A. R. de.; MOREIRA, F. J. da. S.; BERGMANN, J. R. GO synthesis of offset dual reflector antennas using local axis-displaced confocal quadrics. Journal of Microwaves, Optoelectronics and Electromagnetic Applications, v. 19, n. 2, p. 177-190, jun. 2020. Disponível em: <https://www.scielo.br/j/jmoea/a/KrRLj8yFDjnFLVtyXkqDRCB/?lang=en>. Acesso em: 12 set. 2021.2179-1074http://www.repositorio.ufop.br/jspui/handle/123456789/14579This 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 dualreflector 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.en-USabertoOffset dual-reflectorAntennasGeometrical optics - GOMonge-Ampère equationAxis-displaced confocal quadricsArtigo publicado em periodicoThis is an open access article distributed under the terms of the Creative Commons license. Fonte: o PDF do artigo.https://doi.org/10.1590/2179-10742020v19i2813