Results 21 to 30 of about 1,119,291 (284)
Numerical results for Saito's uniqueness theorem in inverse scattering theory [PDF]
, 2020 We consider an inverse scattering problem for the Schrodinger operator in two dimensions. The aim of this work is to discuss some first numerical results on Saito's formula.
Tyni, Teemu
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Inversion of Gamow’s formula and inverse scattering
American Journal of Physics, 2006 Gamow’s tunneling formula is inverted and the issue of the uniqueness of the solution is compared with the solution obtained by the method of Gel’fand and Levitan. Some insight is gained into the key differences between classical and quantum inverse scattering, which account for the fact that a potential can be uniquely determined in the latter but ...
Gandhi, Sohang C., Efthimiou, Costas J.
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Direct and Inverse Elastic Scattering Problems for Diffraction Gratings
, 2021 This chapter is concerned with the direct and inverse scattering of time-harmonic plane elastic waves by unbounded periodic structures (diffraction gratings).
Elschner, Johannes, Hu, Guanghui
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Spectral, Scattering and Dynamics: Gelfand–Levitan–Marchenko–Krein Equations
Mathematics, 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
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Inverse scattering problem in turbulent magnetic fluctuations [PDF]
Annales 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
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Mathematics, 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
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Low-Coherence Interferometric Imaging: Solution of the One-Dimensional Inverse Scattering Problem [PDF]
, 2004 Optical coherence tomography (OCT) is a non-invasive imaging technique based on the use of light sources exhibiting a low degree of coherence. Low coherence interferometric microscopes have been successful in producing internal images of thin pieces of ...
Chaubell, Mario Julián
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A Conditioned Probabilistic Method for the Solution of the Inverse Acoustic Scattering Problem
Mathematics, 2022 In the present work, a novel stochastic method has been developed and investigated in order to face the time-reduced inverse scattering problem, governed by the Helmholtz equation, outside connected or disconnected obstacles supporting boundary ...
Antonios Charalambopoulos +2 more
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Inverse scattering problem for the Maxwell’s equations [PDF]
, 2013 Inverse scattering problem is discussed for the Maxwell’s equations. A reduction of the Maxwell’s system to a new Fredholm second-kind integral equation with a scalar weakly singular kernel is given for electromagnetic (EM) wave ...
Ramm, Alexander G., A. G. Ramm
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A novel inverse scattering approach for a stratified slab without explicit knowledge of incident fields [PDF]
, 2012 A novel inverse scattering approach in time domain is presented for reconstructing electrical parameters of a stratified slab. The approach based on the field equivalence principle does not need explicit information of incident fields.
Takenaka, Takashi, Moriyama, Toshifumi
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