5 papers
Bound States to the Continuum: Time-varying Spoof Acoustic Surface Waves
E. Paul, G. J. Chaplain, J. Li +2
We develop a theoretical framework for time-modulated acoustic metasurfaces comprising a line array of modulated cavities, and show that bound acoustic surface waves can undergo te…
Spring-loaded: Engineering Dispersion Relations Using Complex Couplings
R. G. Edge, S. A. R. Horsley, T. A. Starkey +1
Motivated by recent theoretical and experimental interest in metamaterials comprising non-local coupling terms, we present an analytic framework to realise materials with arbitrary…
Acoustic Lattice Resonances and Generalised Rayleigh--Bloch Waves
G. J. Chaplain, S. C. Hawkins, M. A. Peter +2
The intrigue of waves on periodic lattices and gratings has resonated with physicists and mathematicians alike for decades. In-depth analysis has been devoted to the seemingly simp…
Discrete Euler-Bernoulli Beam Lattices with Beyond Nearest Connections
R. G. Edge, E. Paul, K. H. Madine +3
The propagation of elastic waves on discrete periodic Euler-Bernoulli mass-beam lattices is characterised by the competition between coupled translational and rotational degrees-of…
Application of Quantum Graph Theory to Metamaterial Design: Negative Refraction of Acoustic Waveguide Modes
T. M. Lawrie, T. A. Starkey, G. Tanner +3
We leverage quantum graph theory to quickly and accurately characterise acoustic metamaterials comprising networks of interconnected pipes. Anisotropic bond lengths are incorporate…