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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…
math-ph2024★ 3 cited
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…