13 citations · 36 across the 9 of their papers we have counts for
9 papers · 1 filter
The Electromagnetic Waves Generated by Dielectric Nanoparticles
Xinlin Cao, Ahcene Ghandriche, Mourad Sini
We estimate the electromagnetic fields generated by a cluster of dielectric nanoparticles embedded into a background made of a vacuum. The dielectric nanoparticles are small scaled…
Two unique Identifiability results for inverse scattering problems within polyhedral geometries
Xinlin cao, Huaian Diao, Hongyu Liu +1
We consider the unique determinations of impenetrable obstacles or diffraction grating profiles in by a single far-field measurement within polyhedral geometries. We…
The Effective Permittivity and Permeability Generated by a Cluster of Moderately Contrasting Nanoparticles
Xinlin Cao, Mourad Sini
In a bounded and -smooth domain , , we distribute a cluster of nanoparticles enjoying moderately contrasting relative permittivity and permeability w…
Determining a piecewise conductive medium body by a single far-field measurement
Xinlin Cao, Huaian Diao, Hongyu Liu
We are concerned with the inverse problem of recovering a conductive medium body. The conductive medium body arises in several applications of practical importance, including the m…
On nodal and generalized singular structures of Laplacian eigenfunctions and applications in
Xinlin Cao, Huaian Diao, Hongyu Liu +1
This paper is a continuation and an extension of our recent work [3] on the geometric structures of Laplacian eigenfunctions and their applications to inverse scattering problems.…
On nodal and generalized singular structures of Laplacian eigenfunctions and applications to inverse scattering problems
Xinlin Cao, Huaian Diao, Hongyu Liu +1
In this paper, we present some novel and intriguing findings on the geometric structures of Laplacian eigenfunctions and their deep relationship to the quantitative behaviours of t…
On the geometric structures of transmission eigenfunctions with a conductive boundary condition and applications
Huaian Diao, Xinlin Cao, Hongyu Liu
This paper is concerned with the intrinsic geometric structures of conductive transmission eigenfunctions. The geometric properties of interior transmission eigenfunctions were fir…
Determining a fractional Helmholtz system with unknown source and medium parameter
Xinlin Cao, Hongyu Liu
We are concerned with an inverse problem associated with the fractional Helmholtz system that arises from the study of viscoacoustics in geophysics and thermoviscous modelling of l…
Simultaneously recovering potentials and embedded obstacles for anisotropic fractional Schrödinger operators
Xinlin Cao, Yi-Hsuan Lin, Hongyu Liu
Let be an elliptic 2-tensor. Consider the anisotropic fractional Schrödinger operator , where $\mathscr{L}_A^s:=(-\nabla\cdot(A(x)\…