104 citations · 1.2k across the 127 of their papers we have counts for
8 papers · 1 filter
Decoupling Elastic Waves and Its Applications
Hongyu Liu, Jingni Xiao
In this paper, we consider time-harmonic elastic wave scattering governed by the Lamé system. It is known that the elastic wave field can be decomposed into the shear and compressi…
Full and Partial Cloaking in Electromagnetic Scattering
Youjun Deng, Hongyu Liu, Gunther Uhlmann
In this paper, we consider two regularized transformation-optics cloaking schemes for electromagnetic (EM) waves. Both schemes are based on the blowup construction with the generat…
Plasmon resonance with finite frequencies: a validation of the quasi-static approximation for diametrically small inclusions
Kazunori Ando, Hyeonbae Kang, Hongyu Liu
We study resonance for the Helmholz equation with a finite frequency in a plasmonic material of negative dielectric constant in two and three dimensions. We show that the quasi-sta…
On quasi-static cloaking due to anomalous localized resonance in
Hongjie Li, Jingzhi Li, Hongyu Liu
This work concerns the cloaking due to anomalous localized resonance (CALR) in the quasi-static regime. We extend the related two-dimensional studies in [2,10] to the three-dimensi…
Stable determination of sound-hard polyhedral scatterers by a minimal number of scattering measurements
Hongyu Liu, Michele Petrini, Luca Rondi +1
The aim of the paper is to establish optimal stability estimates for the determination of sound-hard polyhedral scatterers in , , by a minimal number of far…
Recovering a polyhedral obstacle by a few backscattering measurements
Jingzhi Li, Hongyu Liu
We propose an inverse scattering scheme of recovering a polyhedral obstacle in , , by only a few high-frequency acoustic backscattering measurements. The obsta…