43 citations · 115 across the 26 of their papers we have counts for
5 papers · 1 filter
Acoustic wave diffraction by a quadrant of sound-soft scatterers
Matthew Nethercote, Anastasia Kisil, Raphael Assier
Motivated by research in metamaterials, we consider the challenging problem of acoustic wave scattering by a doubly periodic quadrant of sound-soft scatterers arranged in a square…
Propagation and non-reciprocity in time-modulated diffusion through the lens of high-order homogenization
Marie Touboul, Bruno Lombard, Raphaël Assier +2
The homogenization procedure developed here is conducted on a laminate with periodic space-time modulation on the fine scale: at leading order, this modulation creates convection i…
Stress relaxation and thermo-visco-elastic effects in fluid-filled slits and fluid-loaded plates
Erik García Neefjes, David Nigro, Raphaël C. Assier +1
In this paper, we theoretically analyse wave propagation in two canonical problems of interest: fluid-filled thermo-visco-elastic slits and fluid-loaded thermo-visco-elastic plates…
Diffraction by a set of collinear cracks on a square lattice: an iterative Wiener-Hopf method
Elena Medvedeva, Raphael Assier, Anastasia Kisil
The diffraction of a time-harmonic plane wave on collinear finite defects in a square lattice is studied. This problem is reduced to a matrix Wiener-Hopf equation. This work adapts…
A note on double Floquet-Bloch transforms and the far-field asymptotics of Green's functions tailored to periodic structures
Andrey V. Shanin, Raphael C. Assier, Andrey I. Korolkov +1
We propose a general procedure to study double integrals arising when considering wave propagation in periodic structures. This method, based on a complex deformation of the integr…