Omnidirectional ADE antennas with shaped main reflector described by local conic sections sequentially concatenated

This work presents an extension of the formulation for the synthesis of dual-reflector antennas with omnidirectional coverage and arbitrary radiation pattern in elevation plane. The body-of-revolution subreflector is generated by a single conic section while the shaped main reflector is generated by a series of local conic sections sequentially consecutively concatenated. As case studies, four representative axis-displaced ellipse (ADE) configurations are synthesized to provide a sectoral coverage in the elevation plane. Two different ray structures are considered: with a real or a virtual main reflector caustic. The GO shaping results are validated using method-of-moments analysis.