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Improved TV-CS Approaches for Inverse Scattering Problem [PDF]

open access: yesThe Scientific World Journal, 2015
Total Variation and Compressive Sensing (TV-CS) techniques represent a very attractive approach to inverse scattering problems. In fact, if the unknown is piecewise constant and so has a sparse gradient, TV-CS approaches allow us to achieve optimal ...
M. T. Bevacqua, L. Di Donato
doaj   +2 more sources

An Efficient Technique for Solving Inhomogeneous Electromagnetic Inverse Scattering Problems [PDF]

open access: yesJournal of Electromagnetic Engineering and Science, 2020
The electromagnetic inverse scattering approach seeks to obtain the electric characteristics of a scatterer using information about the source and the scattered data.
Mohamed Elkattan
doaj   +1 more source

Inverse scattering problem in turbulent magnetic fluctuations [PDF]

open access: yesAnnales Geophysicae, 2016
We apply a particular form of the inverse scattering theory to turbulent magnetic fluctuations in a plasma. In the present note we develop the theory, formulate the magnetic fluctuation problem in terms of its electrodynamic turbulent response ...
R. A. Treumann   +3 more
doaj   +1 more source

An Integrable Evolution System and Its Analytical Solutions with the Help of Mixed Spectral AKNS Matrix Problem

open access: yesMathematics, 2022
In this work, a novel integrable evolution system in the sense of Lax’s scheme associated with a mixed spectral Ablowitz-Kaup-Newell-Segur (AKNS) matrix problem is first derived.
Sheng Zhang, Jiao Gao, Bo Xu
doaj   +1 more source

Electromagnetic scattering beyond the weak regime: Solving the problem of divergent Born perturbation series by Padé approximants [PDF]

open access: yesEPJ Web of Conferences, 2020
Electromagnetic scattering is the main phenomenon behind all optical measurement methods where one aims to retrieve the shape or physical properties of an unknown object by measuring how it scatters an incident optical field.
van der Sijs Thomas   +2 more
doaj   +2 more sources

Interior Elastic Scattering by a Non-Penetrable Partially Coated Obstacle and Its Shape Recovering

open access: yesMathematics, 2021
In this paper, the interior elastic direct and inverse scattering problem of time-harmonic waves for a non-penetrable partially coated obstacle placed in a homogeneous and isotropic medium is studied.
Angeliki Kaiafa, Vassilios Sevroglou
doaj   +1 more source

On the inverse problem in optical coherence tomography

open access: yesScientific Reports, 2023
We examine the inverse problem of retrieving sample refractive index information in the context of optical coherence tomography. Using two separate approaches, we discuss the limitations of the inverse problem which lead to it being ill-posed, primarily ...
Callum M. Macdonald   +2 more
doaj   +1 more source

An Approach to Solving Direct and Inverse Scattering Problems for Non-Selfadjoint Schrödinger Operators on a Half-Line

open access: yesMathematics, 2023
In this paper, an approach to solving direct and inverse scattering problems on the half-line for a one-dimensional Schrödinger equation with a complex-valued potential that is exponentially decreasing at infinity is developed.
Vladislav V. Kravchenko   +1 more
doaj   +1 more source

Characterization of Induced Polarization Parameters from Electromagnetic Data using Evolutionary Approach [PDF]

open access: yesJournal of Electromagnetic Engineering and Science, 2023
Electromagnetic methods are one of the most important tools for exploring the physical properties of scatterers. When the scattering object is polarizable, more information can be gained from electromagnetic measurements to determine the scatterer’s ...
Mohamed Elkattan, Aladin Kamel
doaj   +1 more source

Spectral, Scattering and Dynamics: Gelfand–Levitan–Marchenko–Krein Equations

open access: yesMathematics, 2023
In this paper, we consider the Gelfand–Levitan–Marchenko–Krein approach. It is used for solving a variety of inverse problems, like inverse scattering or inverse problems for wave-type equations in both spectral and dynamic formulations.
Sergey Kabanikhin   +3 more
doaj   +1 more source

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