6 papers
Multi-frequency far-field data enrichment for electromagnetic source reconstruction
Atyab Khalifa Al-Shaqsi, Heba Mohammed Al-Subhi, Xianchao Wang +2
Reconstructing unknown electromagnetic sources from far-field radiation patterns is a fundamental inverse problem with broad applications in biomedical imaging, non-destructive tes…
A Non-Decoupled Time-Domain Direct Sampling Method for Inverse Elastic Medium Scattering
Lefu Cai, Hongjie Li, Xianchao Wang
This work is concerned with an inverse medium problem for elastic waves, in which unknown inhomogeneities are reconstructed from time-resolved boundary measurements. We propose a n…
Quantitative Direct Sampling for Initial Acoustic Sources
Xiaodong Liu, Xianchao Wang
This paper addresses the challenge of quantitatively reconstructing initial acoustic sources from time-dependent wave measurements. We introduce novel indicator functions defined t…
A Computationally Efficient Finite Element Method for Shape Reconstruction of Inverse Conductivity Problems
Lefu Cai, Zhixin Liu, Minghui Song +1
The inverse conductivity problem aims at determining the unknown conductivity inside a bounded domain from boundary measurements. In practical applications, algorithms based on min…
A Monotonicity-Based Regularization Approach to Shape Reconstruction for the Helmholtz Equation
Sarah Eberle-Blick, Bastian Harrach, Xianchao Wang
We consider an inverse boundary value problem for determining unknown scatterers, which is governed by the Helmholtz equation in a bounded domain. To address this, we develop a nov…
Time-domain direct sampling method for inverse electromagnetic scattering with a single incident source
Chen Geng, Minghui Song, Xianchao Wang +1
In this paper, we consider an inverse electromagnetic medium scattering problem of reconstructing unknown objects from time-dependent boundary measurements. A novel time-domain dir…