2024/09/11 by Tristan Lawrie, Timothy A. Starkey, Lawrie, T. M. +9 · 3 citations
Materials Science · #Applied Physics (physics.app-ph) #FOS: Physical sciences #Mathematical Physics (math-ph) #Metamaterials and Metasurfaces Applications
paper · pdf · doi:10.48550/arxiv.2409.07133
openalex publication_date 2024/09/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We leverage quantum graph theory to quickly and accurately characterise acoustic metamaterials comprising networks of interconnected pipes. Anisotropic bond lengths are incorporated in the model that correspond to space-coiled acoustic structures to exhibit dispersion spectra reminiscent of hyperbolic metamaterials. We construct two metasurfaces with embedded graph structure and, motivated by the graph theory, infer and fine-tune their dispersive properties to engineer non-resonant negative refraction of acoustic surface waves at their interface. Agreement between the graph model, full wave simulations, and experiments bolsters quantum graph theory as a new paradigm for metamaterial design.