Transformer Meets Boundary Value Inverse Problem
A Transformer-based deep direct sampling method is proposed for electrical impedance
tomography, a well-known severely ill-posed nonlinear boundary value inverse problem. A …
tomography, a well-known severely ill-posed nonlinear boundary value inverse problem. A …
Surface-localized transmission eigenstates, super-resolution imaging, and pseudo surface plasmon modes
We present the discovery of a novel and intriguing global geometric structure of the (interior)
transmission eigenfunctions associated with the Helmholtz system. It is shown in generic …
transmission eigenfunctions associated with the Helmholtz system. It is shown in generic …
Convexification method for an inverse scattering problem and its performance for experimental backscatter data for buried targets
MV Klibanov, AE Kolesov, DL Nguyen - SIAM Journal on Imaging Sciences, 2019 - SIAM
We present in this paper a novel numerical reconstruction method for solving a three-
dimensional inverse scattering problem with scattering data generated by a single direction …
dimensional inverse scattering problem with scattering data generated by a single direction …
Orthogonality sampling method for the electromagnetic inverse scattering problem
I Harris, DL Nguyen - SIAM Journal on Scientific Computing, 2020 - SIAM
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 …
determine the location and shape of anisotropic scatterers from far field data (at a fixed …
Near-field orthogonality sampling method for microwave imaging: Theory and experimental verification
In this paper, a new qualitative inverse scattering method for microwave imaging is
proposed. The presented method is inspired by the previously introduced orthogonality …
proposed. The presented method is inspired by the previously introduced orthogonality …
Application of MUSIC algorithm in real-world microwave imaging of unknown anomalies from scattering matrix
WK Park - Mechanical Systems and Signal Processing, 2021 - Elsevier
In this contribution, we consider MUltiple SIgnal Classification (MUSIC)-type algorithm for a
non-iterative microwave imaging of small and arbitrary shaped extended anomalies located …
non-iterative microwave imaging of small and arbitrary shaped extended anomalies located …
Convexification of a 3-D coefficient inverse scattering problem
MV Klibanov, AE Kolesov - Computers & Mathematics with Applications, 2019 - Elsevier
A version of the so-called “convexification” numerical method for a coefficient inverse
scattering problem for the 3D Helmholtz equation is developed analytically and tested …
scattering problem for the 3D Helmholtz equation is developed analytically and tested …
A direct sampling-based deep learning approach for inverse medium scattering problems
In this work, we focus on the inverse medium scattering problem (IMSP), which aims to
recover unknown scatterers based on measured scattered data. Motivated by the efficient …
recover unknown scatterers based on measured scattered data. Motivated by the efficient …
Convexification for the inversion of a time dependent wave front in a heterogeneous medium
MV Klibanov, J Li, W Zhang - SIAM Journal on Applied Mathematics, 2019 - SIAM
An inverse scattering problem for the 3-dimensional acoustic equation in time domain is
considered. The unknown spatially distributed speed of sound is the subject of the solution …
considered. The unknown spatially distributed speed of sound is the subject of the solution …