The inverse scattering problem by an elastic inclusion
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-017-9550-z
Abstract: In this work we consider the inverse elastic scattering problem by an inclusion in two dimensions. The elastic inclusion is placed in an isotropic homogeneous elastic medium. The inverse problem, using the third Betti’s formula… read more here.
Keywords: elastic inclusion; inclusion; problem elastic; inverse scattering ... See more keywords
The Inverse Scattering Problem in a Nonstationary Medium
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DOI: 10.1007/s10598-019-09449-8
Abstract: We consider the inverse scattering problem in a homogeneous nonstationary one-dimensional medium for a system of acoustic equations. A class of boundary sources is identified for which the problem of determining the time-dependent density is… read more here.
Keywords: medium; problem; scattering problem; inverse ... See more keywords
The factorization method for the inverse scattering problem from thin dielectric objects
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DOI: 10.1007/s40314-015-0285-5
Abstract: We consider the inverse scattering problem of determining the shape and position of a thin dielectric infinite cylinder having an open arc as cross section from the knowledge of the related far field data. The… read more here.
Keywords: factorization method; scattering problem; thin dielectric; inverse scattering ... See more keywords
Inverse scattering transform for the coupled modified Korteweg-de Vries equation with nonzero boundary conditions
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2021.125567
Abstract: Abstract In this paper, we study the inverse scattering transform for the coupled modified Korteweg-de Vries (cmKdV) equation with nonzero boundary conditions (NZBCs) at infinity. In order to deal with the direct and inverse scattering… read more here.
Keywords: coupled modified; modified korteweg; korteweg vries; scattering transform ... See more keywords
The robust inverse scattering method for focusing Ablowitz–Ladik equation on the non-vanishing background
Sign Up to like & getrecommendations! Published in 2021 at "Physica D: Nonlinear Phenomena"
DOI: 10.1016/j.physd.2021.132954
Abstract: Abstract In this paper, we consider the robust inverse scattering method for the Ablowitz–Ladik (AL) equation on the non-vanishing background, which can be used to deal with arbitrary-order poles on the branch points and spectral… read more here.
Keywords: ablowitz ladik; inverse scattering; scattering method; robust inverse ... See more keywords
Inverse scattering transform for two-level systems with nonzero background
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Physics"
DOI: 10.1063/1.5084720
Abstract: We formulate the inverse scattering transform for the scalar Maxwell-Bloch system of equations describing the resonant interaction of light and active optical media in the case when the light intensity does not vanish at infinity.… read more here.
Keywords: soliton solutions; scattering transform; nonzero background; inverse scattering ... See more keywords
A Bayesian approach to improving the Born approximation for inverse scattering with high-contrast materials
Sign Up to like & getrecommendations! Published in 2019 at "Inverse Problems"
DOI: 10.1088/1361-6420/ab15f3
Abstract: Time harmonic inverse scattering using accurate forward models is often computationally expensive. On the other hand, the use of computationally efficient solvers, such as the Born approximation, may fail if the targets do not satisfy… read more here.
Keywords: inverse scattering; born approximation; bayesian approach; approximation ... See more keywords
On the robustness of inverse scattering for penetrable, homogeneous objects with complicated boundary
Sign Up to like & getrecommendations! Published in 2022 at "Inverse Problems"
DOI: 10.1088/1361-6420/acb2ec
Abstract: The acoustic inverse obstacle scattering problem consists of determining the shape of a domain from measurements of the scattered far field due to some set of incident fields (probes). For a penetrable object with known… read more here.
Keywords: robustness inverse; inverse; scattering penetrable; homogeneous objects ... See more keywords
L 2-Sobolev space bijectivity of the inverse scattering of a 3 × 3 AKNS system
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DOI: 10.1088/1361-6544/aaf527
Abstract: We study the $L^2$-Sobolev space bijectivity of the direct and inverse scattering of the $3\times 3$ AKNS system associated to the Manakov system and Sasa-Satsuma equation. We establish the bijectivity on the weighted Sobolev space… read more here.
Keywords: system; space; sobolev space; inverse scattering ... See more keywords
Millimeter-Waves Breast Cancer Imaging via Inverse Scattering Techniques
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Journal of Electromagnetics, RF and Microwaves in Medicine and Biology"
DOI: 10.1109/jerm.2021.3052096
Abstract: Breast cancer represents one of the main reasons of death among women. As an alternative to the gold standard techniques for breast cancer diagnosis, microwave imaging has been proposed from research community and many microwave… read more here.
Keywords: millimeter waves; scattering techniques; waves breast; cancer ... See more keywords
A New Scheme for Solving Highly Nonlinear Inverse Scattering Problems With Noise Disturbance
Sign Up to like & getrecommendations! Published in 2022 at "IEEE Geoscience and Remote Sensing Letters"
DOI: 10.1109/lgrs.2021.3137322
Abstract: In this letter, a new scheme based on contraction integral equation (CIE) method is proposed to solve the highly nonlinear inverse scattering problems with noise disturbance. By controlling the weight factor in the new scheme… read more here.
Keywords: new scheme; nonlinear inverse; scheme; highly nonlinear ... See more keywords