19 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…
Spectral structures of elastic-electromagnetic transmission eigenvalue problems
Huaian Diao, Xinyu Ding, Yueran Geng +1
The time-harmonic elastic-electromagnetic interior transmission eigenvalue problem (EEITEP) arises when an elastic body becomes invisible to an incident electromagnetic wave. This…
Construction of Solutions with Extraordinary Gradient Amplification and Localization for Schrödinger Equations
Huaian Diao, Xieling Fan, Hongyu Liu
This paper constructs solutions to linear and nonlinear Schrödinger-type equations in two and three spatial dimensions that exhibit prescribed, extraordinary gradient amplificatio…
Stably Determining a generalised Impedance Obstacle from a Single Far-Field Pattern
Huaian Diao, Hongyu Liu, Longyue Tao
Inverse scattering focuses on recovering unknown scatterers from wave measurements. A fundamental challenge is determining whether an inverse obstacle problem can be resolved from…
Elastic Calderón Problem via Resonant Hard Inclusions: Linearisation of the N-D Map and Density Reconstruction
Huaian Diao, Mourad Sini, Ruixiang Tang
We study an elastic Calderon-type inverse problem: recover the mass density in a bounded domain from the Neumann-to-Dirichlet map associated with th…