3 citations · 6 across the 4 of their papers we have counts for
5 papers · 1 filter
Singularities Almost Always Scatter: Regularity Results for Non-scattering Inhomogeneities
Fioralba Cakoni, Michael S. Vogelius
In this paper we examine necessary conditions for an inhomogeneity to be non-scattering, or equivalently, by negation, sufficient conditions for it to be scattering. These conditio…
On the Discreteness of Transmission Eigenvalues for the Maxwell Equations
Fioralba Cakoni, Hoai-Minh Nguyen
In this paper, we establish the discreteness of transmission eigenvalues for Maxwell's equations. More precisely, we show that the spectrum of the transmission eigenvalue problem i…
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…
The Imaging of Small Perturbations in an Anisotropic Media
Fioralba Cakoni, Isaac Harris, Shari Moskow
In this paper, we employ asymptotic analysis to determine information about small volume defects in a known anisotropic scattering medium from far field scattering data. The locati…
Boundary Integral Equations for the Transmission Eigenvalue Problem for Maxwell Equations
Fioralba Cakoni, Houssem Haddar, Shixu Meng
In this paper we consider the transmission eigenvalue problem for Maxwell's equations corresponding to non-magnetic inhomogeneities with contrast in electric permittivity that chan…