62 citations · 190 across the 12 of their papers we have counts for
12 papers
Split Corners in Scattering and Inverse Scattering
Hayden Ruff, Jingni Xiao
We study scattering and inverse scattering generated by sources and penetrable media with corner singularities. We introduce the notion of split corners, a local model that unifies…
Finiteness of Nonscattering Wavenumbers for Herglotz Incident Waves
Jingni Xiao
This paper continues the study initiated in \cite{VogXia25} on nonscattering phenomena for inhomogeneous media. We investigate star-shaped domains in and establish f…
On the Regularity of Non-Scattering Anisotropic Inhomogeneities
Fioralba Cakoni, Michael S. Vogelius, Jingni Xiao
In this paper we examine necessary conditions for an anisotropic inhomogeneous medium to be non-scattering at a single wave number and for a single incident field. These conditions…
A New Type of CGO Solutions and its Applications in Corner Scattering
Jingni Xiao
We consider corner scattering for the operator in , with a positive definite symmetric matrix and a positive scalar functio…
On Corner Scattering for Operators of Divergence Form and Applications to Inverse Scattering
Fioralba Cakoni, Jingni Xiao
We consider the scattering problem governed by the Helmholtz equation with inhomogeneity in both `conductivity' in the divergence form and `potential' in the lower order term. The…
On an electromagnetic problem in a corner and its applications
Emilia Blåsten, Hongyu Liu, Jingni Xiao
Let be a (non-degenerate) truncated corner in with being its apex, and $\mathbf{F}_j\in C^α(\overline{\mathcal{K}^{r_0…
Revisiting the Decoupling of Elastic Waves From a Weak Formulation Perspective
Junjiang Lai, Hongyu Liu, Jingni Xiao +1
Elastic scattering governed by the Lame system associated with the third-type or fourth-type boundary condition is considered. It was shown in [8] by two of the authors that under…
The Calderón problem for variable coefficients nonlocal elliptic operators
Tuhin Ghosh, Yi-Hsuan Lin, Jingni Xiao
In this paper, we introduce an inverse problem of a Schrödinger type variable nonlocal elliptic operator , for . We determine the unknown…
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…
Mosco convergence for H(curl) spaces, higher integrability for Maxwell's equations, and stability in direct and inverse EM scattering problems
Hongyu Liu, Luca Rondi, Jingni Xiao
This paper is concerned with the scattering problem for time-harmonic electromagnetic waves, due to the presence of scatterers and of inhomogeneities in the medium. We prove a shar…
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…
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…