26 citations · 75 across the 19 of their papers we have counts for
8 papers · 1 filter
Sparse Reconstructions of Acoustic Source for Inverse Scattering Problems in Measure Space
Xueshuang Xiang, Hongpeng Sun
This paper proposes a systematic mathematical analysis of both the direct and inverse acoustic scattering problem given the source in Radon measure space. For the direct problem, w…
On an inverse elastic wave imaging scheme for nearly incompressible materials
Li Jingzhi, Liu Hongyu, Sun Hongpeng
This paper is devoted to the algorithmic development of inverse elastic scattering problems. We focus on reconstructing the locations and shapes of elastic scatterers with known di…
On a gesture-computing technique using electromagnetic waves
Jingzhi Li, Hongyu Liu, Hongpeng Sun
This paper is concerned with a conceptual gesture-based instruction/input technique using electromagnetic wave detection. The gestures are modelled as the shapes of some impenetrab…
Inverse Elastic Scattering for Multiscale Rigid Bodies with A Single Far-field Pattern
Guanghui Hu, Jingzhi Li, Hongyu Liu +1
We develop three inverse elastic scattering schemes for locating multiple small, extended and multiscale rigid bodies, respectively. There are some salient and promising features o…
Two Single-shot Methods for Locating Multiple Electromagnetic Scatterers
Jingzhi Li, Hongyu Liu, Zaijiu Shang +1
We develop two inverse scattering schemes for locating multiple electromagnetic (EM) scatterers by the electric far-field measurement corresponding to a single incident/detecting p…
Singular perturbation of reduced wave equation and scattering from an embedded obstacle
Hongyu Liu, Zaijiu Shang, Hongpeng Sun +1
We consider time-harmonic wave scattering from an inhomogeneous isotropic medium supported in a bounded domain (). {In a subregion , the…
Enhanced Near-cloak by FSH Lining
Hongyu Liu, Hongpeng Sun
We consider regularized approximate cloaking for the Helmholtz equation. Various cloaking schemes have been recently proposed and extensively investigated. The existing cloaking sc…
Enhanced Approximate Cloaking by SH and FSH Lining
Jingzhi Li, Hongyu Liu, Hongpeng Sun
We consider approximate cloaking from a regularization viewpoint introduced in [13] for EIT and further investigated in [12] [17] for the Helmholtz equation. The cloaking schemes i…