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On an artificial neural network for inverse scattering problems
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 …
working model, we consider the inverse problem of recovering a scattering object from the …
[KNYGA][B] Mathematical and computational methods in photonics and phononics
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 …
sound propagation and interactions in complex structures, as well as its technological …
Mathematical analysis of plasmonic nanoparticles: the scalar case
Localized surface plasmons are charge density oscillations confined to metallic
nanoparticles. Excitation of localized surface plasmons by an electromagnetic field at an …
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 …
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 …
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
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 …
plasmonic resonances for nanoparticles. We mathematically define the notion of plasmonic …
A recursive algorithm for multifrequency acoustic inverse source problems
An iterative/recursive algorithm is studied for recovering unknown sources of acoustic field
with multifrequency measurement data. Under additional regularity assumptions on source …
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
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 …
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 …
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
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 …
observed in the experiment (Lemoult et al., Phys Rev Lett 107: 064301, 2011). A key …