Modified circular Taylor patterns to generate footprint patterns

A common method of antenna array synthesis uses least squares approximation to fit the radiation pattern of the array to a set of samples of an ideal desired pattern F_id. However, it has long been known that discontinuities in F_id prevent close approximation, and that sampling a target pattern F_tar that approximates F_id can afford better results. Here we show, for the case of circular planar arrays, that an appropriate target pattern can be obtained by modification of a Taylor pattern for a circular aperture.