A contribution to the mathematical theory of diffraction. Part II: Recovering the far-field asymptotics of the quarter-plane problem

RC Assier, AV Shanin, AI Korolkov - Quarterly Journal of …, 2024 - academic.oup.com
We apply the stationary phase method developed in Assier, Shanin and Korolkov, QJMAM,
76 (2022) to the problem of wave diffraction by a quarter-plane subjected to Dirichlet …

[HTML][HTML] Diffraction by a set of collinear cracks on a square lattice: An iterative Wiener–Hopf method

E Medvedeva, R Assier, A Kisil - Wave Motion, 2024 - Elsevier
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 the …

Asymptotic expansion of wave scattering in a periodic 2d-plane

V Lescarret - arXiv preprint arXiv:2403.20061, 2024 - arxiv.org
Asymptotic expansion of wave scattering in a periodic 2d-plane arXiv:2403.20061v1 [math.AP]
29 Mar 2024 Page 1 Asymptotic expansion of wave scattering in a periodic 2d-plane ∗ Vincent …