3 papers
math.AP2026
Limiting absorption principle for time-harmonic elastic scattering of plane waves from diffraction gratings
Jianli Xiang, Guanghui Hu
We establish the limiting absorption principle for time-harmonic elastic scattering of plane waves by a periodic rigid diffraction grating. By perturbing the frequency with a small…
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.AP2025
Factorization method for near-field inverse scattering problems in elastodynamics
Chun Liu, Guanghui Hu, Tao Yin +1
Consider a time-harmonic elastic point source incident on a bounded obstacle which is embedded in an open space filled with a homogeneous and isotropic elastic medium. This paper i…