Multiobjective shape optimization of broad-band reflector antennas using the cone of efficient directions algorithm

This paper presents a multiobjective shape optimization of an offset reflector antenna using the Cone of Efficient Directions Algorithm (CEDA), that includes a multiobjective line search. This algorithm features a monotone dominance convergence: the sequence of solution antennas occur in such a way that all the objectives are improved simultaneously. Given an area to be covered, the desired radiation pattern is the one with the maximum mean gain and uniformity, possibly weighted, inside it. These features are achieved by the definition of a single objective function, which must held in three different frequencies (a total of three conflicting objectives), in order to provide broad-band characteristics to the designed antenna

I. Introduction

Satellite broad-cast communications have been studied in several works using reflector antennas. The main characteristic of reflector antennas is their high directivity—this is an important feature especially when the energy source is limited, as in satellite communication systems. In this situation, it is highly desirable not wasting energy in regions that are not of interest. Moreover, the energy delivered to outside the target region could interfere with other communication systems.