A novel synthesis method using an incident angle dependent impedance mapping for holographic multi-feed antennas is presented. Since the unit cells of the holographic antenna are shared with all feeds, it is necessary to merge all of the sub-holograms to a common physical geometry. In the proposed multi-beam synthesis, a individual merged impedance hologram for each feeding point is determined, which has the lowest impedance error to the corresponding analytical holograms. Subsequently, a non pixel-based genetic optimization is used to account for global error minimization across all feeds. The antenna is going to be realized on glass due its lower loss and dispersive properties compared to Teflon-based materials at mm-wave frequencies. In addition to the incident angle dependent hologram synthesis method, an appropriate sub-wavelength pixel has been design and optimized with enhanced anisotropic properties. The implemented holographic multi-feed antenna design has an antenna gain of 23.3 dBi and 23.0 dBi, a polarization purity of 20.3 dB and 23.0 dB and a side-lobe level of −18.5 dB and −19.0 dB with 2 feeds at 77 GHz.
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