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math.AP2026
Limiting absorption principle for time-harmonic acoustic and electromagnetic scattering of plane waves from a bi-periodic inhomogeneous layer
Guanghui Hu, Andreas Kirsch, Yulong Zhong
The Rayleigh expansion is widely used as a formal radiation condition in the analysis and numerical treatment of grating diffraction problems for incoming plane waves. However, the…
math.AP2024★ 1 cited
Direct and inverse time-harmonic scattering by Dirichlet periodic curves with local perturbations
Guanghui Hu, Andreas Kirsch
This is a continuation of the authors' previous work (A. Kirsch, Math. Meth. Appl. Sci., 45 (2022): 5737-5773.) on well-posedness of time-harmonic scattering by locally perturbed p…
math.AP2024
Time-harmonic scattering by locally perturbed periodic structures with Dirichlet and Neumann boundary conditions
Guanghui Hu, Andreas Kirsch
The paper is concerned with well-posedness of TE and TM polarizations of time-harmonic electromagnetic scattering by perfectly conducting periodic surfaces and periodically arrayed…