The University of Southampton
University of Southampton Institutional Repository

Numerical synthesis of dual reflector antenna systems

Numerical synthesis of dual reflector antenna systems
Numerical synthesis of dual reflector antenna systems

Research by Westcott and his co-workers at Southampton University has led to the formulation of design equations which may be applied to synthesise a wide range of reflector systems. Using Geometrical Optics principles it has been shown that the design problem may be expressed as a boundary value problem in which a second order non-linear partial differential equation of Monge-Ampere form must be solved subject to non-linear boundary conditions. Numerical solutions to this problem have already been found for point source fed single and dual-reflector systems. To simplify this process, however, it has been found convenient to restrict attention to systems possessing circular symmetry. This thesis concentrates on the numerical solution of the boundary value problem for the case of dual-reflectors. For systems producing uniform phase over a planar output aperture the range of reflector geometries for which solutions have been found is extended to include non-circular apertures. Two different methods are used to achieve this; the first employs conformal transformations of the aperture and the second uses direct aperture deformation. Aperture deformation is shown to be particularly effective in producing elliptical aperture systems. Dual-reflector systems producing a spherical output wave are also considered and it is shown that solutions to the associated boundary value problem may be obtained by using a numerical technique similar to that employed in the aperture deformation scheme.

University of Southampton
Graham, Robert Keith
Graham, Robert Keith

Graham, Robert Keith (1986) Numerical synthesis of dual reflector antenna systems. University of Southampton, Doctoral Thesis.

Record type: Thesis (Doctoral)

Abstract

Research by Westcott and his co-workers at Southampton University has led to the formulation of design equations which may be applied to synthesise a wide range of reflector systems. Using Geometrical Optics principles it has been shown that the design problem may be expressed as a boundary value problem in which a second order non-linear partial differential equation of Monge-Ampere form must be solved subject to non-linear boundary conditions. Numerical solutions to this problem have already been found for point source fed single and dual-reflector systems. To simplify this process, however, it has been found convenient to restrict attention to systems possessing circular symmetry. This thesis concentrates on the numerical solution of the boundary value problem for the case of dual-reflectors. For systems producing uniform phase over a planar output aperture the range of reflector geometries for which solutions have been found is extended to include non-circular apertures. Two different methods are used to achieve this; the first employs conformal transformations of the aperture and the second uses direct aperture deformation. Aperture deformation is shown to be particularly effective in producing elliptical aperture systems. Dual-reflector systems producing a spherical output wave are also considered and it is shown that solutions to the associated boundary value problem may be obtained by using a numerical technique similar to that employed in the aperture deformation scheme.

This record has no associated files available for download.

More information

Published date: 1986

Identifiers

Local EPrints ID: 460815
URI: http://eprints.soton.ac.uk/id/eprint/460815
PURE UUID: 99bc5d4e-e168-4401-8b6f-25ac357ea304

Catalogue record

Date deposited: 04 Jul 2022 18:30
Last modified: 04 Jul 2022 18:30

Export record

Contributors

Author: Robert Keith Graham

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×