Hexagonal higher-symmetric dielectric periodic structures for planar graded-index lenses

We investigate dispersion properties of a hexagonal dielectric periodic structure that can be used to engineer dielectric graded-index lenses. The connection between the geometry of the hexagonal periodic structure and its symmetries is explained. Furthermore, we demonstrate that a hexagonal structure with increased symmetry is more isotropic than its conventional counterpart. To validate our analysis, we designed, manufactured, and measured a planar Luneburg lens antenna. The antenna has a neat fan-shaped beam from 23 to 31 GHz. The results validate the broadband operation of the periodic structure and could be of interest for the design of cost-effective antennas.

Automated summary

This study investigates the dispersion properties of a hexagonal dielectric periodic structure for engineering dielectric graded-index lenses. The relationship between the hexagonal structure's geometry and its symmetries is explained. Moreover, it is demonstrated that a hexagonal structure with increased symmetry is more isotropic than its conventional counterpart. To validate the analysis, a planar Luneburg lens antenna is designed, manufactured, and measured, showing a neat fan-shaped beam from 23 to 31 GHz. The results confirm the broadband operation of the periodic structure, which is of interest for cost-effective antenna designs.