104 citations · 1.2k across the 127 of their papers we have counts for
10 papers · 1 filter
On electromagnetic scattering from a penetrable corner
Hongyu Liu, Jingni Xiao
This article is concerned with the time-harmonic electromagnetic (EM) scattering from a generic inhomogeneous medium. It is shown that if there is a right corner on the support of…
On corners scattering stably and stable shape determination by a single far-field pattern
Emilia L. K. Blåsten, Hongyu Liu
In this paper, we establish two sharp quantitative results for the direct and inverse time-harmonic acoustic wave scattering. The first one is concerned with the recovery of the su…
Recovery of an embedded obstacle and its surrounding medium by formally-determined scattering data
Hongyu Liu, Xiaodong Liu
We consider an inverse acoustic scattering problem in simultaneously recovering an embedded obstacle and its surrounding inhomogeneous medium by formally determined far-field data.…
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…
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…
On three-dimensional plasmon resonance in elastostatics
Hongjie Li, Hongyu Liu
We consider the plasmon resonance for the elastostatic system in associated with a very broad class of sources. The plasmonic device takes a general core-shell-matri…