activity
20162024
most citedRecovering an electromagnetic obstacle by a few phaseless backscattering measurements

47 citations · 130 across the 12 of their papers we have counts for

collaborators

12 papers

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.AP2024★ 1 cited

Computational imaging of small-amplitude biperiodic surfaces with negative index material

Yuliang Wang

This paper presents an innovative approach to computational acoustic imaging of biperiodic surfaces, exploiting the capabilities of an acoustic superlens to overcome the diffractio…

math.NA2023★ 4 cited

Inverse scattering of periodic surfaces with a superlens

Peijun Li, Yuliang Wang

We propose a scheme for imaging periodic surfaces using a superlens. By employing an inverse scattering model and the transformed field expansion method, we derive an approximate r…

math.NA2023★ 7 cited

A data-assisted two-stage method for the inverse random source problem

Peijun Li, Ying Liang, Yuliang Wang

We propose a data-assisted two-stage method for solving an inverse random source problem of the Helmholtz equation. In the first stage, the regularized Kaczmarz method is employed…

math.AP2018★ 2 cited

Localization and geometrization in plasmon resonances and geometric structures of Neumann-Poincaré eigenfunctions

Eemeli Blasten, Hongjie Li, Hongyu Liu +1

This paper reports some novel and intriguing discoveries about the localization and geometrization phenomenon in plasmon resonances and the intrinsic geometric structures of Neuman…

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.NA2017★ 37 cited

On vanishing and localizing of transmission eigenfunctions near singular points: a numerical study

Eemeli Blåsten, Xiaofei Li, Hongyu Liu +1

This paper is concerned with the intrinsic geometric structure of interior transmission eigenfunctions arising in wave scattering theory. We numerically show that the aforementione…

math-ph2017

Asymptotic Analysis of the Narrow Escape Problem in Dendritic Spine Shaped Domain: Three Dimension

Hyundae Lee, Xiaofei Li, Yuliang Wang

This paper deals with the three-dimensional narrow escape problem in dendritic spine shaped domain, which is composed of a relatively big head and a thin neck. The narrow escape pr…

math-ph2017

Electromagnetic interior transmission eigenvalue problem for inhomogeneous media containing obstacles and its applications to near cloaking

Jingzhi Li, Xiaofei Li, Hongyu Liu +1

This paper is concerned with the invisibility cloaking in electromagnetic wave scattering from a new perspective. We are especially interested in achieving the invisibility cloakin…

math.AP2016★ 47 cited

Recovering an electromagnetic obstacle by a few phaseless backscattering measurements

Jingzhi Li, Hongyu Liu, Yuliang Wang

We consider the electromagnetic scattering from a convex polyhedral PEC or PMC obstacle due to a time-harmonic incident plane wave. It is shown that the modulus of the far-field pa…

math.AP2016★ 18 cited

Nearly non-scattering electromagnetic wave set and its application

Hongyu Liu, Yuliang Wang, Shuhui Zhong

For any inhomogeneous compactly supported electromagnetic (EM) medium, it is shown that there exists an infinite set of linearly independent electromagnetic waves which generate ne…

math.NA2016

Mathematical design of a novel gesture-based instruction/input device using wave detection

Hongyu Liu, Yuliang Wang, Can Yang

In this paper, we present a conceptual design of a novel gesture-based instruction/input device using wave detection. The device recogonizes/detects gestures from a person and base…