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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…
math-ph2021
Diffraction by a Right-Angled No-Contrast Penetrable Wedge Revisited: A Double Wiener-Hopf Approach
Valentin D. Kunz, Raphael C. Assier
In this paper, we revisit Radlow's innovative approach to diffraction by a penetra ble wedge by means of a double Wiener-Hopf technique. We provide a constructive way of obtaining…