activity
20172022
most citedDetermining a fractional Helmholtz system with unknown source and medium parameter

13 citations · 36 across the 9 of their papers we have counts for

collaborators

9 papers

math.AP2022

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…

math.AP2021

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…

math.AP2021★ 1 cited

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…

math.AP2020★ 7 cited

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…

math.AP2019★ 3 cited

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.…

math.AP2019★ 2 cited

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…