35 citations · 89 across the 12 of their papers we have counts for
4 papers · 1 filter
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…
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…
Platonic quasi-normal modes expansion
Benjamin Vial, Marc Martí Sabaté, Richard Wiltshaw +2
Elastic wave manipulation using large arrays of resonators is driving the need for advanced simulation and optimization methods. To address this we introduce and explore a robust f…
Analytical approximations for multiple scattering in one-dimensional waveguides with small inclusions
Mario Lázaro, Richard Wiltshaw, Richard Vaughan Craster +1
We propose a new model to approximate the wave response of waveguides containing an arbitrary number of small inclusions. The theory is developed to consider any one-dimensional wa…