Periodic Structures with Glide Symmetry and their Application to Antenna Design

In this paper, the recent discoveries of periodic structures with glide symmetry are summarized. Specifically, glide symmetry reduces the dispersion and increases the equivalent refractive index of periodic structures. These features are useful for the design of broadband lenses and to reduce their cost. Additionally, glide symmetry can be used to increase the bandwidth of electromagnetic bandgaps, which is beneficial for packaging, filters, flanges and gap-waveguide technology. Furthermore, glide symmetry increases the anisotropic range of non-symmetrical structures, which is beneficial to reduce the size of lenses or to produce optical illusions based on transformation optics. Finally, glide symmetry can be employed to reduce the reflections at the transitions between materials with different refractive indexes.