26 citations · 57 across the 19 of their papers we have counts for
24 papers
Identifying defective units in infinite periodic arrays of point sources
Dinh-Liem Nguyen, Nhung H. Nguyen, Thi-Phong Nguyen
This paper focuses on identifying defective units in unbounded periodic arrays of point sources using boundary data. The study is motivated by the noninvasive evaluation of large-s…
A stable imaging functional for anisotropic periodic media in electromagnetic inverse scattering
Dinh-Liem Nguyen, Trung Truong
The paper is concerned with the inverse scattering problem for Maxwell's equations in three dimensional anisotropic periodic media. We study a new imaging functional for fast and s…
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…
Sampling type method combined with deep learning for inverse scattering with one incident wave
Thu Le, Dinh-Liem Nguyen, Vu Nguyen +1
We consider the inverse problem of determining the geometry of penetrable objects from scattering data generated by one incident wave at a fixed frequency. We first study an orthog…
A new sampling indicator function for stable imaging of periodic scattering media
Dinh-Liem Nguyen, Kale Stahl, Trung Truong
This paper is concerned with the inverse problem of determining the shape of penetrable periodic scatterers from scattered field data. We propose a sampling method with a novel ind…
The Carleman-based contraction principle to reconstruct the potential of nonlinear hyperbolic equations
Dinh-Liem Nguyen, Loc Nguyen, Trung Truong
We develop an efficient and convergent numerical method for solving the inverse problem of determining the potential of nonlinear hyperbolic equations from lateral Cauchy data. In…
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.…
On the numerical solution to an inverse medium problem
Dinh-Liem Nguyen, Trung Truong
This paper is concerned with the inverse medium problem of determining the location and shape of penetrable scattering objects from measurements of the scattered field. We study a…
Imaging of bi-anisotropic periodic structures from electromagnetic near field data
Dinh-Liem Nguyen, Trung Truong
This paper is concerned with the inverse scattering problem for the three-dimensional Maxwell's equations in bi-anisotropic periodic structures. The inverse scattering problem aims…
Convergence of a series associated with the convexification method for coefficient inverse problems
Michael V. Klibanov, Dinh-Liem Nguyen
This paper is concerned with the convergence of a series associated with a certain version of the convexification method. That version has been recently developed by the research g…
Convexification numerical algorithm for a 2D inverse scattering problem with backscatter data
Trung Truong, Dinh-Liem Nguyen, Michael Klibanov
This paper is concerned with the inverse scattering problem which aims to determine the spatially distributed dielectric constant coefficient of the 2D Helmholtz equation from mult…
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…
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…
Convexification method for a coefficient inverse problem and its performance for experimental backscatter data for buried targets
Michael V. Klibanov, Aleksandr E. Kolesov, Dinh-Liem Nguyen
We present in this paper a novel numerical reconstruction method for solving a 3D coefficient inverse problem with scattering data generated by a single direction of the incident p…
A numerical method to solve a phaseless coefficient inverse problem from a single measurement of experimental data
Michael V. Klibanov, Nikolay A. Koshev, Dinh-Liem Nguyen +3
We propose in this paper a globally numerical method to solve a phaseless coefficient inverse problem: how to reconstruct the spatially distributed refractive index of scatterers f…
A coefficient inverse problem with a single measurement of phaseless scattering data
Michael V. Klibanov, Dinh-Liem Nguyen, Loc H. Nguyen
This paper is concerned with a numerical method for a 3D coefficient inverse problem with phaseless scattering data. These are multi-frequency data generated by a single direction…
Imaging of buried objects from multi-frequency experimental data using a globally convergent inversion method
Dinh-Liem Nguyen, Michael V. Klibanov, Loc H. Nguyen +1
This paper is concerned with the numerical solution to a 3D coefficient inverse problem for buried objects with multi-frequency experimental data. The measured data, which are asso…
A globally convergent numerical method for a 3D coefficient inverse problem with a single measurement of multi-frequency data
Michael V. Klibanov, Dinh-Liem Nguyen, Loc H. Nguyen +1
The goal of this paper is to reconstruct spatially distributed dielectric constants from complex-valued scattered wave field by solving a 3D coefficient inverse problem for the Hel…
Single measurement experimental data for an inverse medium problem inverted by a multi-frequency globally convergent numerical method
Aleksandr E. Kolesov, Michael V. Klibanov, Loc H. Nguyen +2
The recently developed globally convergent numerical method for an inverse medium problem for the Helmholtz equation is tested on experimental data. The data were originally collec…
Numerical Solution of a Coefficient Inverse Problem with Multi-Frequency Experimental Raw Data by a Globally Convergent Algorithm
Dinh-Liem Nguyen, Michael V. Klibanov, Loc H. Nguyen +3
We analyze in this paper the performance of a newly developed globally convergent numerical method for a coefficient inverse problem for the case of multi-frequency experimental ba…
Imaging with electromagnetic waves in terminating waveguides
Liliana Borcea, Dinh-Liem Nguyen
We study an inverse scattering problem for Maxwell's equations in terminating waveguides, where localized reflectors are to be imaged using a remote array of sensors. The array pro…
A Trigonometric Galerkin Method for Volume Integral Equations Arising in TM Grating Scattering
Armin Lechleiter, Dinh Liem Nguyen
Transverse magnetic (TM) scattering of an electromagnetic wave from a periodic dielectric diffraction grating can mathematically be described by a volume integral equation. This vo…
Volume Integral Equations for Scattering from Anisotropic Diffraction Gratings
Armin Lechleiter, Dinh-Liem Nguyen
We analyze electromagnetic scattering of TM polarized waves from a diffraction grating consisting of a periodic, anisotropic, and possibly negative-index dielectric material. Such…
On Uniqueness in Electromagnetic Scattering from Biperiodic Structures
Armin Lechleiter, Dinh-Liem Nguyen
Consider time-harmonic electromagnetic wave scattering from a biperiodic dielectric structure mounted on a perfectly conducting plate in three dimensions. Given that uniqueness of…