6 papers
Robust shape reconstruction of elastic impenetrable scatterers via monotonicity spectral sampling methods
Mengjiao Bai, Huaian Diao, Weisheng Zhou
Reconstructing the location and shape of an unknown impenetrable scatterer from far-field measurements is a fundamental inverse problem in elastic scattering. In this paper, we pro…
Localized gradient enhancement near anisotropic electromagnetic scatterers
Weisheng Zhou, Huaian Diao, Hongyu Liu
This work investigates time-harmonic electromagnetic scattering governed by the Maxwell system, where bounded anisotropic scatterers are embedded in a homogeneous electromagnetic b…
Stress concentration via quasi-Minnaert resonance in bubble-elastic structures and applications
Ruixiang Tang, Huaian Diao, Hongyu Liu +1
Stress concentration in bubble-elastic scattering scenarios has significant applications in engineering blasting and medical treatments. This study provides a comprehensive mathema…
Quasi-Minnaert Resonances in High-contrast acoustic Structures and Applications to Invisibility Cloaking
Weisheng Zhou, Huaian Diao, Hongyu Liu
This paper investigates a novel quasi-Minnaert resonance phenomenon in acoustic wave propagation through high-contrast medium in both two and three dimensions, occurring in the sub…
Inverse elastic obstacle scattering problems by monotonicity method
Mengjiao Bai, Huaian Diao, Weisheng Zhou
We consider the elastic wave scattering problem involving rigid obstacles. This work addresses the inverse problem of reconstructing the position and shape of such obstacles using…
Quasi-Minnaert Resonances in 2D Elastic Wave Scattering with Applications
Huaian Diao, Kaixin Lu, Ruixiang Tang +1
In our earlier work [13], we introduced a novel quasi-Minnaert resonance for three-dimensional elastic wave scattering in the sub-wavelength regime. Therein, we provided a rigorous…