4 papers
Reconfigurable topological valley-Hall interfaces: Asymptotics of arrays of Dirichlet and Neumann inclusions for multiple scattering in metamaterials
Richard Wiltshaw, Henry J. Putley, Christelle Bou Dagher +1
We study two-dimensional periodic metamaterials in which idealised cylindrical inclusions are modelled by boundary conditions. In the scalar time-harmonic setting, the background f…
Dispersion relations of generalized one-dimensional phononic crystals
Mario Lázaro, Richard Wiltshaw, Richard V. Craster +1
We present a comprehensive method for determining {both exact and approximate} dispersion {relations} for one-dimensional {resonant phononic} crystals, applicable to a wide range o…
Fabry-Pérot quasinormal modes for topological edge states
Marc MartÃ-Sabaté, Benjamin Vial, Richard Wiltshaw +2
Topological waveguides supporting quantum valley Hall interfacial states confine waves to interfaces and, due to topological protection, are resistant to backscattering even in the…
Wave propagation in beams with multiple resonators: conditions for weak scattering and the Born approximation
Mario Lázaro, Richard Wiltshaw, Richard V. Craster +1
This work reports the conditions under which weak scattering assumptions can be applied in a beam loaded by multiple resonators supporting both longitudinal and flexural waves. The…