Síntese óptica de antenas refletoras com simetria circular utilizando a concatenação de seções elípticas

Abstract

This work to develop a theoretical, mathematical and computational tool to synthesize surfaces of reflector antennas with circular symmetry using the concatenation of consecutive elliptical sections in the near field, according to the concepts of Geometrical Optics. To illustrate the numerical synthesis used in this study, we chose to model different geometric configurations of reflector antennas with circular symmetry. Thus, this work is developed in two stages. This work aims to develop a theoretical, mathematical and computational tool to synthesize surfaces of reflector antennas with circular symmetry using the concatenation of consecutive elliptical sections in the near field (antenna aperture). Initially, we used the Energy Conservation of Law, the principle of Geometrical Optics, to develop an iterative algorithm on order to calculate the angles of the feed. To illustrate the numerical synthesis technique adopted in this study, we chose to model two different geometric configurations of reflector antennas with circular symmetry. The first step is to investigate and understand the technical features of synthesis used, in particular its rate of convergence. For this, it was decided to synthesize a reflector that, in principle, produces the same power distribution in aperture of a front-fed parabolic reflector antenna according Geometrical Optics. In the second, we chose to shape the main reflector keeping the classic subreflector or a dual-reflector antenna of omnidirectional coverage. In this case, it was considered a pattern of power distribution on the cylindrical aperture of the main antenna reflector, according Geometrical Optics and ensuring Energy Conservation of Law.