14 citations · 15 across the 5 of their papers we have counts for
6 papers
Reconstruction of cracks in Calderón's inverse conductivity problem using energy comparisons
Henrik Garde, Michael Vogelius
We derive exact reconstruction methods for cracks consisting of unions of Lipschitz hypersurfaces in the context of Calderón's inverse conductivity problem. Our first method obtain…
Far field broadband approximate cloaking for the Helmholtz equation with a Drude-Lorentz refractive index
Fioralba Cakoni, Narek Hovsepyan, Michael Vogelius
This paper concerns the analysis of a passive, broadband approximate cloaking scheme for the Helmholtz equation in for or . Using ideas from transformati…
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…
On optimal cloaking-by-mapping transformations
Yves Capdeboscq, Michael Vogelius
A central ingredient of cloaking-by-mapping is the diffeomorphisn which transforms an annulus with a small hole into an annulus with a finite size hole, while being the identity on…
Small perturbations in the type of boundary conditions for an elliptic operator
Eric Bonnetier, Charles Dapogny, Michael S. Vogelius
In this article, we study the impact of a change in the type of boundary conditions of an elliptic boundary value problem. In the context of the conductivity equation we consider a…
Approximate cloaking using transformation optics for acoustic and electromagnetic waves
Hoai-Minh Nguyen, Michael S. Vogelius
This is a survey of approximate cloaking using transformation optics for acoustic and electromagnetic waves.