On the Irreducible Brillouin Zones of 1D Glide-Symmetric Structures

This paper discusses the appropriate choice of the irreducible Brillouin zone for one-dimensional (1D) glide-symmetric structures in a 2D square lattice. In analyzing the dispersion diagrams, we analytically show that the positive and negative branches of the solutions are identical, representing the same solution derived from different parts of the Brillouin zone. We then propose an alternative path accounting for the glide periodicity, which is easier to understand and helps to better interpret dispersion diagrams. Our proposal is validated with the help of a linearized half-cell multimodal transfer matrix method, which allows us to obtain solutions more efficiently as the computational domain is reduced by half.