Higher symmetries: A new degree of freedom for the design of periodic structures

In this presentation, we will introduce the concept of higher symmetries, including both glide and twist symmetries. We will describe the remarkable properties of higher symmetries, such as their ability to produce both large bandgaps and low dispersive media. Higher-symmetry structures provide a new degree of freedom for the design of periodic structures, and find potential application for bandgap waveguide technology, ultra-wideband flat lenses, and low-dispersive leaky wave antennas.