6 papers · 1 filter
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…
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…
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…
Uniqueness to inverse acoustic and elastic medium scattering problems with hyper-singular source method
Chun Liu, Guanghui Hu, Jianli Xiang +1
This paper is concerned with inverse scattering problems of determining the support of an isotropic and homogeneous penetrable body from knowledge of multi-static far-field pattern…
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…
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…