On an artificial neural network for inverse scattering problems

Y Gao, H Liu, X Wang, K Zhang - Journal of Computational Physics, 2022 - Elsevier
In this paper, we consider artificial neural networks for inverse scattering problems. As a
working model, we consider the inverse problem of recovering a scattering object from the …

[KNYGA][B] Mathematical and computational methods in photonics and phononics

H Ammari, B Fitzpatrick, H Kang, M Ruiz, S Yu… - 2018 - books.google.com
The fields of photonics and phononics encompass the fundamental science of light and
sound propagation and interactions in complex structures, as well as its technological …

Mathematical analysis of plasmonic nanoparticles: the scalar case

H Ammari, P Millien, M Ruiz, H Zhang - Archive for Rational Mechanics …, 2017 - Springer
Localized surface plasmons are charge density oscillations confined to metallic
nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an …

[KNYGA][B] Applications of the topological derivative method

AA Novotny, J Sokołowski, A Żochowski - 2019 - Springer
The topological derivative method is recognized as a robust numerical technique in
engineering applications such as topology optimization, inverse problems, imaging …

A model for multiview ultrasonic array inspection of small two-dimensional defects

N Budyn, RLT Bevan, J Zhang… - IEEE transactions on …, 2019 - ieeexplore.ieee.org
The multiview total focusing method (TFM) is an imaging algorithm for ultrasonic full matrix
array data that exploits internal reflections and mode conversions in the inspected object to …

[HTML][HTML] Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations

H Ammari, M Ruiz, S Yu, H Zhang - Journal of Differential Equations, 2016 - Elsevier
In this paper we use the full Maxwell equations for light propagation in order to analyze
plasmonic resonances for nanoparticles. We mathematically define the notion of plasmonic …

A recursive algorithm for multifrequency acoustic inverse source problems

G Bao, S Lu, W Rundell, B Xu - SIAM Journal on Numerical Analysis, 2015 - SIAM
An iterative/recursive algorithm is studied for recovering unknown sources of acoustic field
with multifrequency measurement data. Under additional regularity assumptions on source …

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 …

Multi-frequency subspace migration for imaging of perfectly conducting, arc-like cracks in full-and limited-view inverse scattering problems

WK Park - Journal of Computational Physics, 2015 - Elsevier
Multi-frequency subspace migration imaging techniques are usually adopted for the non-
iterative imaging of unknown electromagnetic targets, such as cracks in concrete walls or …

A mathematical theory of super-resolution by using a system of sub-wavelength Helmholtz resonators

H Ammari, H Zhang - Communications in Mathematical Physics, 2015 - Springer
A rigorous mathematical theory is developed to explain the super-resolution phenomenon
observed in the experiment (Lemoult et al., Phys Rev Lett 107: 064301, 2011). A key …