Synthesis of planar arrays with arbitrary geometry for flat-top footprint patterns

This paper presents a new synthesis algorithm to produce flat-top main beams with arbitrary footprint for array elements placed in an arbitrary planar geometry. The general framework of the paper would encompass the patterns produced by circular aperture distribution. It is shown that for patterns generated by circular apertures some efficient simplifying facts based on properties of Bessel functions can be applied. The method shows a high performance in generating optimally flat-top patterns with detailed geometry footprints.