Analytical Computation of Conjugate Points' Location in 3D Parabolic Reflector Systems

Francesco Lisi*, Giovanni Toso, Piero Angeletti, Julien Maurin, Hervé Legay, George Goussetis*

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The location of conjugate points plays a crucial role in understanding and predicting certain radiation characteristics of reflector antenna systems. In this manuscript, we present an analytical approach for determining the location of conjugate points for both broadside radiation and beam scanning. In the 2D case, our methodology is based on the well-known mirror formula. Moving to the 3D case, we demonstrate that for broadside radiation, reflected rays converge to a single point. However, during beam scanning, incident rays from different planes converge to different points after reflection. These points can be analytically determined by locally approximating the reflector as either an ellipsoid or a hyperboloid. Our findings highlight the limitations of the conjugate point model for larger scan angles.

Original languageEnglish
Title of host publication19th European Conference on Antennas and Propagation (EuCAP)
PublisherIEEE
ISBN (Electronic)9788831299107
DOIs
Publication statusPublished - 21 May 2025
Event19th European Conference on Antennas and Propagation 2025 - Stockholm, Sweden
Duration: 30 Mar 20254 Apr 2025
https://eucap.org/

Conference

Conference19th European Conference on Antennas and Propagation 2025
Abbreviated titleEuCAP 2025
Country/TerritorySweden
CityStockholm
Period30/03/254/04/25
Internet address

Keywords

  • beam scanning
  • conjugate points
  • mirror formula
  • ray tracing optics
  • reflector antenna systems

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Modelling and Simulation
  • Instrumentation
  • Radiation

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