An efficient sampling technique of continuous distributions for ring and elliptical arrays synthesis

The synthesis of planar arrays to produce desired far field patterns is in general a mathematically difficult problem, specially if many constraints are placed on the required pattern such as sidelobe levels, beamwidth and directivity. On the other hand, there exist analytical solutions for continuous fed apertures that yield patterns with desired properties such as apertures with tapered feeding and Taylor distributions. In this paper, we introduce some new techniques of sampling the continuous distributions of circular apertures for planar and multicircular array synthesis. The analysis is extended also in case of elliptical apertures for the synthesis of planar and multielliptical arrays on the basis of simple transformations between circular and elliptical apertures and arrays. Comparative numerical results based on different aperture distributions such as uniform, linear and parabolic tapers as well as the Taylor source distribution have been carried out. The proposed techniques are shown to result in better results for ring array synthesis for most of the considered aperture distributions.