Electromagnetic characterization of supershaped lens antennas for high-frequency applications

A novel class of supershaped dielectric lens antennas, whose geometry is described by the three-dimensional extension of Gielis' formula, is introduced and analyzed. To this end, a hybrid approach based on geometrical and physical optics is adopted in order to properly model the multiple wave reflections occurring within the lens and the relevant impact on the radiation properties of the antenna under analysis. The developed modeling procedure has been validated by comparison with numerical results already reported in the scientific literature and, afterwards, applied to the electromagnetic characterization of a Gielis lens antenna with shaped radiation pattern.