Abstract
This work discusses an alternative geometrical optics (GO) technique to synthesize omnidirectional dual-reflector antennas with uniform aperture phase distribution together with an arbitrary main-beam direction for the antenna radiation pattern. Sub- and main reflectors are bodies of revolution generated by shaped curves defined by local conic sections consecutively concatenated. The shaping formulation is derived for configurations like ADC (axis-displaced Cassegrain) and ADE (axis-displaced ellipse) omnidirectional antennas. As case studies, two configurations fed by a TEM coaxial horn are designed and analyzed by a hybrid technique based on mode matching and method of moments in order to validate the GO shaping procedure.
Highlights
The spectral congestion in urban centers and large data rates required by the generation technology (5G) of broadband mobile communication have forced the development of systems operating at higher frequencies [1]
For high-gain or omnidirectional antennas, several works have dealt with the shaping of circularly symmetric dual-reflector for prescribed equiphase field distribution at the aperture by solving an ordinary differential equation derived from geometrical optics (GO) principles [2,3,4]
For collimated beam, [5] presents an alternative GO shaping technique based on the representation of the reflector generatrices by concatenated local conic sections
Summary
The spectral congestion in urban centers and large data rates required by the generation technology (5G) of broadband mobile communication have forced the development of systems operating at higher frequencies [1]. There, the authors employ rectangular coordinates to describe the local conic sections representing the reflectors’ generatrices, leading to a set of nonlinear algebraic equations. It represented an improvement over traditional methods, biparabolic sufaces have already been employed to locally represent the reflector in the GO synthesis of offset dual-reflector antennas [6]. In [8], this alternative technique was applied to shape the main reflector of omnidirectional dual-reflector antennas to control power distribution along the vertical plane, while in [9], it was applied to shape both reflectors for maximum directivity along the horizon. A rigorous analysis combining the mode matching technique (MMT) and the method of moments (MoM) [10] is employed to validate the synthesis
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