7 papers
Effective mass density for wave propagation in periodic layered media in the elasto-acoustic transition
Gabriel Núñez, William J. Parnell, Raphaël C. Assier
This article investigates the effective mass density for acoustic and elastic wave propagation in layered media, with emphasis on its transition between these regimes. Conventional…
Waves within a network of slowly time-modulated interfaces: time-dependent effective properties, reciprocity and high-order dispersion
Michaël Darche, Raphaël Assier, Sébastien Guenneau +2
We consider wave propagation through a 1D periodic network of slowly time-modulated interfaces. Each interface is modelled by time-dependent spring-mass jump conditions, where mass…
Plane-wave representation for the Laplace--Beltrami equation on a sphere. Application to the Green's function
Andrey V. Shanin, Valentin D. Kunz, Raphael C. Assier
We propose an extension of the plane-wave representation for wave fields defined on the real sphere . This representation is well-known in the planar setting but has…
Wave scattering by a transversal defect in a discrete waveguide
Elena Medvedeva, Raphael Assier, Anastasia Kisil
We study wave scattering by a finite transversal strip in a discrete square-lattice waveguide with Dirichlet boundary conditions imposed on the strip and the waveguide walls. The s…
Scattering of transient waves by an interface with time-modulated jump conditions
Michaël Darche, Raphaël Assier, Sébastien Guenneau +2
Time modulation of the physical parameters offers interesting new possibilities for wave control. Examples include amplification of waves, harmonic generation and non-reciprocity,…
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…