activity
20162026
most citedDirect imaging for the moment tensor point sources of elastic waves

17 citations · 59 across the 19 of their papers we have counts for

collaborators

23 papers

math-ph2026

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…

math.NA2026

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…

math-ph2026

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…

math.NA2025

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…

math.NA2025

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…

math.NA2024

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…

math.NA2024

Generating customized field concentration via virtual surface transmission resonance

Yueguang Hu, Hongyu Liu, Xianchao Wang +1

In this paper, we develop a mathematical framework for generating strong customized field concentration locally around the inhomogeneous medium inclusion via surface transmission r…

math.NA2023

A novel time-domain direct sampling approach for inverse scattering problems in acoustics

Yukun Guo, Hongjie Li, Xianchao Wang

This work is concerned with an inverse scattering problem of determining unknown scatterers from time-dependent acoustic measurements. A novel time-domain direct sampling method is…

cs.IT2023

Multipolar Acoustic Source Reconstruction from Sparse Far-Field Data using ALOHA

Yukun Guo, Abdul Wahab, Xianchao Wang

The reconstruction of multipolar acoustic or electromagnetic sources from their far-field signature plays a crucial role in numerous applications. Most of the existing techniques r…

math.NA2022★ 13 cited

A novel quantitative inverse scattering scheme using interior resonant modes

Youzi He, Hongyu Liu, Xianchao Wang

This paper is devoted to a novel quantitative imaging scheme of identifying impenetrable obstacles in time-harmonic acoustic scattering from the associated far-field data. The prop…

math.AP2021

Invisibility enables super-visibility in electromagnetic imaging

Youzi He, Hongjie Li, Hongyu Liu +1

This paper is concerned with the inverse electromagnetic scattering problem for anisotropic media. We use the interior resonant modes to develop an inverse scattering scheme for im…

physics.optics2021★ 2 cited

Geometrical and topological properties of transmission resonance and artificial mirage

Youjun Deng, Hongyu Liu, Xianchao Wang +1

Transmission eigenfunctions are certain interior resonant modes that are of central importance to the wave scattering theory. In this paper, we present the discovery of novel globa…

math.NA2021★ 17 cited

Direct imaging for the moment tensor point sources of elastic waves

Xianchao Wang, Yukun Guo, Sara Bousba

We investigate an inverse source problem of the time-harmonic elastic wave equation. Some novel sampling-type numerical schemes are proposed to identify the moment tensor point sou…

math.NA2020

Simultaneous recovery of surface heat flux and thickness of a solid structure by ultrasonic measurements

Youjun Deng, Hongyu Liu, Xianchao Wang +2

This paper is concerned with a practical inverse problem of simultaneously reconstructing the surface heat flux and the thickness of a solid structure from the associated ultrasoni…

math-ph2020

Three-dimensional Elastic Scattering Coefficients and Enhancement of the Elastic Near Cloaking

Hongyu Liu, Wing Yan Tsui, Abdul Wahab +1

This paper is concerned with the elastic near cloaking for the Lamé system in three-dimensions using the notion of elastic scattering coefficients (ESC). Accordingly, the ESC of ar…

math.AP2020★ 1 cited

Surface-localized transmission eigenstates, super-resolution imaging and pseudo surface plasmon modes

Yat Tin Chow, Youjun Deng, Youzi He +2

We present the discovery of a novel and intriguing global geometric structure of the (interior) transmission eigenfunctions associated with the Helmholtz system. It is shown in gen…

math.NA2020

Reconstruction of acoustic sources from multi-frequency phaseless far-field data

Deyue Zhang, Yukun Guo, Fenglin Sun +1

We consider the inverse source problem of determining an acoustic source from multi-frequency phaseless far-field data. By supplementing some reference point sources to the inverse…

cs.GR2018★ 1 cited

An inverse scattering approach for geometric body generation: a machine learning perspective

Jinhong Li, Hongyu Liu, Wing-Yan Tsui +1

In this paper, we are concerned with the 2D and 3D geometric shape generation by prescribing a set of characteristic values of a specific geometric body. One of the major motivatio…

math.AP2018★ 14 cited

On a novel inverse scattering scheme using resonant modes with enhanced imaging resolution

Hongyu Liu, Xiaodong Liu, Xianchao Wang +1

We develop a novel wave imaging scheme for reconstructing the shape of an inhomogeneous scatterer and we consider the inverse acoustic obstacle scattering problem as a prototype mo…

math.AP2018★ 1 cited

Analysis of electromagnetic scattering from plasmonic inclusions beyond the quasi-static approximation and applications

Hongjie Li, Shanqiang Li, Hongyu Liu +1

This paper is concerned with the analysis of time-harmonic electromagnetic scattering from plasmonic inclusions in the finite frequency regime beyond the quasi-static approximation…

math.AP2018★ 2 cited

Fourier method for identifying electromagnetic sources with multi-frequency far-field data

Xianchao Wang, Minghui Song, Yukun Guo +2

We consider the inverse problem of determining an unknown vectorial source current distribution associated with the homogeneous Maxwell system. We propose a novel non-iterative rec…

physics.class-ph2017★ 3 cited

Two gesture-computing approaches by using electromagnetic waves

Yukun Guo, Jingzhi Li, Hongyu Liu +1

We are concerned with a novel sensor-based gesture input/instruction technology which enables human beings to interact with computers conveniently. The human being wears an emitter…

math.NA2016★ 5 cited

Mathematical design of a novel input/instruction device using a moving emitter

Yukun Guo, Jingzhi Li, Hongyu Liu +1

This paper is concerned with the mathematical design of a novel input/instruction device using a moving emitter. The emitter generates a point source and can be installed on a digi…