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math.NA2026
A frequency-stable Nyström method for two-dimensional diffraction by periodic gratings at and near Wood anomalies
Kei Matsushima, Hiroshi Isakari
We propose and analyze a frequency-stable boundary integral equation method for scalar wave scattering by periodic diffraction gratings in two dimensions. The standard quasi-period…
math.NA2022
A coupled-mode theory for two-dimensional exterior Helmholtz problems based on the Neumann and Dirichlet normal mode expansion
Kei Matsushima, Yuki Noguchi, Takayuki Yamada
This study proposes a novel coupled-mode theory for two-dimensional exterior Helmholtz problems. The proposed approach is based on the separation of the entire space R2 into a fict…