Application of quantum graph theory to metamaterial design: Negative refraction of acoustic waveguide modes

TM Lawrie, TA Starkey, G Tanner, DB Moore… - Physical Review …, 2024 - APS
We leverage quantum graph theory to quickly and accurately characterize acoustic
metamaterials comprising networks of interconnected pipes. Anisotropic bond lengths are …

Topological spectral bands with frieze groups

FR Lux, T Stoiber, S Wang, G Huang… - Journal of Mathematical …, 2024 - pubs.aip.org
Frieze groups are discrete subgroups of the full group of isometries of a flat strip. We
investigate here the dynamics of specific architected materials generated by acting with a …

Elastic hyperbolic strip lattices

NH Patino, L Lomazzi, L De Beni… - arXiv preprint arXiv …, 2024 - arxiv.org
We investigate the dynamic properties of elastic lattices defined by tessellations of a
hyperbolic strip domain. These strip lattices are generated by a conformal map of …