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math-ph2026
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…
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…