Shaped and multiple beams using planar phased arrays

Shaped and multiple beams using planar phased arrays. This paper presents a new synthesis and computation method to generate user-specified multiple beams and shaped beams in any arbitrary 3D space. The computation method can generate independently controllable simultaneous multiple beams with arbitrary peak powers. This method is extended to generate arbitrarily shaped beams, using a combination of optimally placed multiple beams at appropriate locations with specific power ratios.