1 citations · 1 across the 2 of their papers we have counts for
4 papers
Which Waveguide Network Realizes a Prescribed Transmission Profile? An Exact Forward Construction
Tristan M. Lawrie
We introduce an analytically invertible framework for wavefront construction based on the scattering properties of periodic waveguide networks governed by a gauge-shifted Helmholtz…
A Flux-Tunable Discrete Angular Filter
Tristan M. Lawrie, Oliver M. Brown
Recent work by Lawrie et al. [PRR 7, 023209 (2025)] introduced a non-diffracting resonant angular filter on a network of thin channels (modelled via quantum graph theory) that exhi…
A Non-diffracting Resonant Angular Filter
Tristan. M. Lawrie, Gregor. Tanner, Gregory. J. Chaplain
We conceptualise and numerically simulate a resonant metamaterial interface incorporating non-local, or beyond nearest neighbour, coupling that acts as a discrete angular filter. I…
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…