Publications (54)
Reconstruction of small and extended regions in EIT with a Robin transmission condition
Govanni Granados, Isaac Harris
We consider an inverse shape problem coming from electrical impedance tomography with a Robin transmission condition. In general, a boundary condition of Robin type models corrosio…
A direct method for reconstructing inclusions and boundary conditions from electrostatic data
Isaac Harris
In this paper, we will discuss the use of a Sampling Method to reconstruct impenetrable inclusions from Electrostatic Cauchy data. We consider the case of a perfectly conducting an…
Factorization method for the biharmonic scattering problem for an absorbing penetrable scatterer
Rafael Ceja Ayala, Isaac Harris, General Ozochiawaeze
This work extends the factorization method to the inverse scattering problem of reconstructing the shape and location of an absorbing penetrable scatterer embedded in a thin infini…
Inverse parameter and shape problem for an isotropic scatterer with two conductivity coefficients
Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld
In this paper, we consider the direct and inverse problem for isotropic scatterers with two conductive boundary conditions. First, we show the uniqueness for recovering the coeffic…
Homogenization approach for the transmission eigenvalue problem for periodic media and application to the inverse problem
Fioralba Cakoni, Houssem Haddar, Isaac Harris
We consider the interior transmission problem associated with the scattering by an inhomogeneous (possibly anisotropic) highly oscillating periodic media. We show that, under appro…
Analysis of two transmission eigenvalue problems with a coated boundary condition
Isaac Harris
In this paper, we investigate two transmission eigenvalue problems associated with the scattering of a media with a coated boundary. In recent years, there has been a lot of intere…
The inverse scattering problem for a conductive boundary condition and transmission eigenvalues
Isaac Harris, Andreas Kleefeld
In this paper, we consider the inverse scattering problem associated with an inhomogeneous media with a conductive boundary. First, we discuss the inverse conductivity problem of r…
Sampling methods for the inverse cavity scattering problem of biharmonic waves
Isaac Harris, Peijun Li, General Ozochiawaeze
This paper addresses the inverse problem of qualitatively recovering a clamped cavity in a thin elastic plate using far-field measurements. We present a strengthened analysis of th…
Heterogeneous integration of spin-photon interfaces with a scalable CMOS platform
Linsen Li, Lorenzo De Santis, Isaac Harris +14
Color centers in diamonds have emerged as a leading solid-state platform for advancing quantum technologies, satisfying the DiVincenzo criteria and recently achieving a quantum adv…
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…
Reciprocity gap functional methods for potentials/sources with small volume support for two elliptic equations
Govanni Granados, Isaac Harris
In this paper, we consider inverse shape problems coming from diffuse optical tomography and inverse scattering. In both problems, our goal is to reconstruct small volume interior…
Existence of transmission eigenvalues for biharmonic scattering by a clamped planar region
Isaac Harris, Andreas Kleefeld, Heejin Lee
In this paper, we study the so-called clamped transmission eigenvalue problem. This is a new transmission eigenvalue problem that is derived from the scattering of an impenetrable…
Reconstruction of extended regions in EIT with a generalized Robin transmission condition
Govanni Granados, Isaac Harris, Heejin Lee
We consider an inverse shape problem coming from electrical impedance tomography with a generalized Robin transmission condition. We will derive an algorithm in order to detect whe…
Sampling methods for recovering buried corroded boundaries from partial electrostatic Cauchy data
Isaac Harris, Andreas Kleefeld, Heejin Lee
We consider the inverse shape and parameter problem for detecting corrosion from partial boundary measurements. This problem models the non-destructive testing for a partially buri…
Group III Quantum Defects in Diamond are Stable Spin-1 Color Centers
Isaac Harris, Christopher J. Ciccarino, Johannes Flick +2
Color centers in diamond have emerged as leading solid-state artificial atoms for a range of quantum technologies, from quantum sensing to quantum networks. Concerted research acti…
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…
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.…
The anisotropic interior transmission eigenvalue problem with a conductive boundary
Victor Hughes, Isaac Harris, Jiguang Sun
In this paper, we study the transmission eigenvalue problem for an anisotropic material with a conductive boundary. We prove that the transmission eigenvalues for this problem exis…
Direct and inverse scattering for an isotropic medium with a second-order boundary condition
Govanni Granados, Isaac Harris, Andreas Kleefeld
We consider the direct and inverse scattering problem for a penetrable, isotropic obstacle with a second-order Robin boundary condition, which asymptotically models the delaminatio…
Two direct sampling methods for an anisotropic scatterer with a conductive boundary
Isaac Harris, Victor Hughes, Andreas Kleefeld
In this paper, we consider the inverse scattering problem associated with an anisotropic medium with a conductive boundary condition. We will assume that the corresponding far--fie…
Non-volatile spin transport in a single domain multiferroic
Sajid Husain, Isaac Harris, Peter Meisenheimer +22
Antiferromagnets have attracted significant attention in the field of magnonics, as promising candidates for ultralow-energy carriers for information transfer for future computing.…
Analysis and computation of the transmission eigenvalues with a conductive boundary condition
Isaac Harris, Andreas Kleefeld
We provide a new analytical and computational study of the transmission eigenvalues with a conductive boundary condition. These eigenvalues are derived from the scalar inverse scat…
On the inverse scattering from anisotropic periodic layers and transmission eigenvalues
Isaac Harris, Dinh-Liem Nguyen, Jonathan Sands +1
This paper is concerned with the inverse scattering and the transmission eigenvalues for anisotropic periodic layers. For the inverse scattering problem, we study the Factorization…
Novel implementation of the extended sampling method for inverse biharmonic scattering
Isaac Harris, General Ozochiawaeze
This paper considers an inverse shape problem for recovering an unknown clamped obstacle in two dimensions from far--field measurements generated by a single incident wave or just…
Magnon thermal conductivity in multiferroics with spin cycloids
Hyeon Woo Park, Shu Zhang, Peter Meisenheimer +7
Multiferroic materials, characterized by the occurrence of two or more ferroic properties, hold potential in future technological applications and also exhibit intriguing phenomena…
Analysis of the monotonicity method for an anisotropic scatterer with a conductive boundary
Victor Hughes, Isaac Harris, Heejin Lee
In this paper, we consider the inverse scattering problem associated with an anisotropic medium with a conductive boundary. We will assume that the corresponding far-field pattern…
Direct sampling method via Landweber iteration for an absorbing scatterer with a conductive boundary
Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld
In this paper, we consider the inverse shape problem of recovering isotropic scatterers with a conductive boundary condition. Here, we assume that the measured far-field data is kn…
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…
Metal-Optic Nanophotonic Modulators in Standard CMOS Technology
Mohamed ElKabbash, Sivan Trajtenberg-Mills, Isaac Harris +8
Integrating nanophotonics with electronics promises revolutionary applications, from LiDAR to holographic displays. Although silicon photonics is maturing, realizing active nanopho…
Direct sampling for recovering a clamped cavity from biharmonic far field data
Isaac Harris, Heejin Lee, Peijun Li
This paper concerns the inverse shape problem of recovering an unknown clamped cavity embedded in a thin infinite plate. The model problem is assumed to be governed by the two-dime…
Analysis of the transmission eigenvalue problem for biharmonic scattering considering penetrable scatterers
Rafael Ceja Ayala, Isaac Harris, Andreas Kleefeld
In this paper, we provide an analytical study of the transmission eigenvalue problem in the context of biharmonic scattering with a penetrable obstacle. We will assume that the und…
Functional-Input Gaussian Processes with Applications to Inverse Scattering Problems
Chih-Li Sung, Wenjia Wang, Fioralba Cakoni +2
Surrogate modeling based on Gaussian processes (GPs) has received increasing attention in the analysis of complex problems in science and engineering. Despite extensive studies on…
The interior transmission eigenvalue problem for an inhomogeneous media with a conductive boundary
Oleksandr Bondarenko, Isaac Harris, Andreas Kleefeld
In this paper, we investigate the interior transmission eigenvalue problem for an inhomogeneous media with conductive boundary conditions. We prove the discreteness and existence o…
The factorization method for a defective region in an anisotropic material
Fioralba Cakoni, Isaac Harris
In this paper we consider the inverse acoustic scattering (in \mathbb{R}^3) or electromagnetic scattering (in \mathbb{R}^2, for the scalar TE-polarization case) problem of reconstr…
Analysis of new direct sampling indicators for far-field measurements
Isaac Harris, Andreas Kleefeld
This article focuses on the analysis of three direct sampling indicators which can be used for recovering scatterers from the far-field pattern of time-harmonic acoustic measuremen…
Factorization method for a simply supported obstacle from point source measurements via far--field transformation
Isaac Harris, Andreas Kleefeld
We consider an inverse shape problem for recovering an unknown simply supported obstacle in two dimensions from near--field point--source measurements for the biharmonic Helmholtz…
On reconstruction of small sources from Cauchy data at a fixed frequency
Isaac Harris, Thu Le, Dinh-Liem Nguyen
This short paper is concerned with the numerical reconstruction of small sources from boundary Cauchy data for a single frequency. We study a sampling method to determine the locat…
Regularization of the Factorization Method applied to diffuse optical tomography
Isaac Harris
In this paper, we develop a new regularized version of the Factorization Method for positive operators mapping a complex Hilbert Space into it's dual space. The Factorization Metho…
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…
Orthogonality Sampling Method for the Electromagnetic Inverse Scattering Problem
Isaac Harris, Dinh-Liem Nguyen
This paper is concerned with the electromagnetic inverse scattering problem that aims to determine the location and shape of anisotropic scatterers from far field data (at a fixed…
Detecting inclusions with a generalized impedance condition from electrostatic data via sampling
Isaac Harris
In this paper, we derive a Sampling Method to solve the inverse shape problem of recovering an inclusion with a generalized impedance condition from electrostatic Cauchy data. The…
Dirichlet spectral-Galerkin approximation method for the simply supported vibrating plate eigenvalues
Isaac Harris
In this paper, we analyze and implement the Dirichlet spectral-Galerkin method for approximating simply supported vibrating plate eigenvalues with variable coefficients. This is a…
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:…
Well-posedness for the biharmonic scattering problem for a penetrable obstacle
Rafael Ceja Ayala, Isaac Harris, Tonatiuh Sánchez-Vizuet
We address the direct scattering problem for a penetrable obstacle in an infinite elastic two--dimensional Kirchhoff--Love plate. Under the assumption that the plate's thickness is…
On the transmission eigenvalues for scattering by a clamped planar region
Isaac Harris, Heejin Lee, Andreas Kleefeld
In this paper, we consider a new transmission eigenvalue problem derived from the scattering by a clamped cavity in a thin elastic material. Scattering in a thin elastic material c…
Reconstruction of small and extended scatterers with a conductive boundary using far-field data
Rafael Ceja Ayala, Isaac Harris
In this paper, we consider the inverse shape problem of recovering small and extended isotropic scatterers with a conductive boundary condition. Here, we assume that the measured f…
Designed spin-texture-lattice to control anisotropic magnon transport in antiferromagnets
Peter Meisenheimer, Maya Ramesh, Sajid Husain +14
Spin waves in magnetic materials are promising information carriers for future computing technologies due to their ultra-low energy dissipation and long coherence length. Antiferro…
The direct and inverse problem for sub-diffusion equations with a generalized impedance subregion
Isaac Harris
In this paper, we consider the direct and inverse problem for time-fractional diffusion in a domain with an impenetrable subregion. Here we assume that on the boundary of the subre…
A direct reconstruction method for radiating sources in Maxwell's equations with single-frequency data
Isaac Harris, Thu Le, Dinh-Liem Nguyen
This paper presents a fast and robust numerical method for reconstructing point-like sources in the time-harmonic Maxwell's equations given Cauchy data at a fixed frequency. This i…
Regularized Factorization Method for a perturbed positive compact operator applied to inverse scattering
Isaac Harris
In this paper, we consider a regularization strategy for the factorization method when there is noise added to the data operator. The factorization method is a qualitative method u…
Approximation of the zero-index transmission eigenvalues with a conductive boundary and parameter estimation
Isaac Harris
In this paper, we present a Spectral-Galerkin Method to approximate the zero-index transmission eigenvalues with a conductive boundary condition. This is a new eigenvalue problem d…
Near field imaging of small isotropic and extended anisotropic scatterers
Isaac Harris, Scott Rome
In this paper, we consider two time-harmonic inverse scattering problems of reconstructing penetrable inhomogeneous obstacles from near field measurements. First we appeal to the B…
Theoretical Foundation of the Weighted Laplace Inpainting Problem
Laurent Hoeltgen, Andreas Kleefeld, Isaac Harris +1
Laplace interpolation is a popular approach in image inpainting using partial differential equations. The classic approach considers the Laplace equation with mixed boundary condit…