Self-Duality: From Symmetry Protected Transmission to Extreme Wave Funneling and Zero Backscattering

Structural and material symmetries can be engineered to create unique electromagnetic effects including backscattering-immune propagation. In this work we investigate the scattering properties of a class of structures with combined rotational and dual symmetries, i.e., self-dual structures. We demonstrate how self-duality will be manifested through different forms of zero backscattering in periodic and non-periodic structures.