16 citations · 16 across the 9 of their papers we have counts for
12 papers · 1 filter
Analysis of the transmission eigenvalue problem with two conductivity parameters
Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld +1
In this paper, we provide an analytical study of the transmission eigenvalue problem with two conductivity parameters. We will assume that the underlying physical model is given by…
Regularization of the Factorization Method with Applications to Inverse Scattering
Isaac Harris
Here we discuss a regularized version of the factorization method for positive operators acting on a Hilbert Space. The factorization method is a qualitative reconstruction method…
Direct sampling for recovering sound soft scatterers from point source measurements
Isaac Harris
In this paper, we consider the inverse problem of recovering a sound soft scatterer from the measured scattered field. The scattered field is assumed to be induced by a point sourc…
Direct sampling methods for isotropic and anisotropic scatterers with point source measurements
Isaac Harris, Dinh-Liem Nguyen, Thi-Phong Nguyen
In this paper, we consider the inverse scattering problem for recovering either an isotropic or anisotropic scatterer from the measured scattered field initiated by a point source.…
A sparsity-constrained sampling method with applications to communications and inverse scattering
Isaac Harris, Jacob D Rezac
We introduce the sparse direct sampling method (DSM) to estimate properties of a region from signals that probe the region. We demonstrate the sparse-DSM on two separate problems:…
Approximation of the inverse scattering Steklov eigenvalues and the inverse spectral problem
Isaac Harris
In this paper, we consider the numerical approximation of the Steklov eigenvalue problem that arises in inverse acoustic scattering. The underlying scattering problem is for an inh…