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

Authors

  • A. R. Assis 1Graduate Program in Electrical Engineering, Federal University of Minas Gerais, Av. Pres. Antonio Carlos 6627, 31270-901, Belo Horizonte, MG, Brazil
  • F. J. S. Moreira 2Department of Electronics Engineering, Federal University of Minas Gerais, Av. Pres. Antonio Carlos 6627, 31270-901, Belo Horizonte, MG, Brazil
  • J. R. Bergmann 3Centro de Estudos em Telecomunicações, Pontifícia Universidade Católica do Rio de Janeiro (CETUC PUC-Rio), Rua Marquês de São Vicente 225, 22451-900, Rio de Janeiro RJ, Brazil,

DOI:

https://doi.org/10.1590/2179-10742020v19i2813

Keywords:

Offset dual-reflector antennas, geometrical optics (GO, Monge-Ampère equation

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.

Published

2020-04-23

How to Cite

Assis, A. R., Moreira, F. J. S., & Bergmann, J. R. (2020). GO Synthesis of Offset Dual Reflector Antennas Using Local Axis-Displaced Confocal Quadrics. Journal of Microwaves, Optoelectronics and Electromagnetic Applications (JMOe), 19(2), AoP 177-190. https://doi.org/10.1590/2179-10742020v19i2813

Issue

Section

Regular Papers