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Book ChapterDOI

1.3. Analysis of Paraboloidal-Reflector Systems

W.V.T. Rusch
- 01 Jan 1976 - 
- Vol. 12, pp 29-63
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TLDR
An overview of paraboloidal reflector systems can be found in this paper, where the dyadic Green's function over the currents induced on the reflector is estimated using geometrical optics.
Abstract
Publisher Summary This chapter presents an overview of paraboloidal-reflector systems. The rf performance of paraboloidal reflectors may be analyzed using various techniques of diffraction theory. Such techniques generally involve the integration of the dyadic Green's function over the currents induced on the reflector. These induced currents are estimated using geometrical optics. In principle, however, they may also be calculated using moment-method techniques or by applying classical results to appropriate boundary-value problems. Once the currents are determined, evaluation of the fields becomes straightforward although the computations may be lengthy and laborious. Computers are generally needed for all but a few special cases that may be integrated in closed form. The analysis of the transmitting properties of the antenna is presented in the chapter. An analysis and the geometry of the paraboloid with a prime-focus feed are also elaborated and illustrated. The aperture projection of blocked portions of a paraboloidal reflector is displayed and the classical dual-reflector antenna systems are analyzed. The calculation of radiation from dual-reflector systems by applying physical optics (PO) is also discussed.

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Citations
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Journal ArticleDOI

Observation-point-dependent blocking shadows on a reflector antenna

TL;DR: In this article, the authors present efficient algorithms that can be incorporated in a physical-optics integration to account for migrating feed and observation-point-dependent geometrical shadows caused by obstacles in the aperture of a reflector antenna with the feed under focused or scanned conditions.
References
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An algorithm for the machine calculation of complex Fourier series

TL;DR: Good generalized these methods and gave elegant algorithms for which one class of applications is the calculation of Fourier series, applicable to certain problems in which one must multiply an N-vector by an N X N matrix which can be factored into m sparse matrices.
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Geometrical Theory of Diffraction

TL;DR: The mathematical justification of the theory on the basis of electromagnetic theory is described, and the applicability of this theory, or a modification of it, to other branches of physics is explained.
Journal ArticleDOI

Diffraction by an Aperture

TL;DR: In this paper, the geometrical theory of diffraction was introduced to account for diffraction by introducing new rays called diffracted rays, which are produced when incident rays hit the aperture edge.
Journal ArticleDOI

Radiation and scattering from bodies of revolution

TL;DR: In this paper, the problem of electromagnetic radiation and scattering from perfectly conducting bodies of revolution of arbitrary shape is considered, and the mathematical formulation is an integro-differential equation, obtained from the potential integrals plus boundary conditions at the body.
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