3 citations · 3 across the 2 of their papers we have counts for
3 papers
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…
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…
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…