Inverse Scattering Problem for the Maxwell’s Equations [PDF]
Mathematical Modelling of Natural Phenomena, 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 {\it scalar weakly singular kernel} is given for electromagnetic (EM) wave scattering. This equation allows one to derive a formula for the scattering amplitude in which only a scalar function ...
Ramm, Alexander G., A. G. Ramm
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Inverse scattering for transmission problem [PDF]
Computers & Mathematics with Applications, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yan, Guozheng
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Solutions associated with discrete and continuous spectrums in the inverse scattering method for the Vakhnenko-Parkes equation [PDF]
, 2012 In this paper the inverse scattering method is applied to the Vakhnenko-Parkes equation. We describe a procedure for using the inverse scattering transform to find the solutions that are associated with both the bound state spectrum and continuous ...
Vakhnenko, V.O., Parkes, E.J.
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Linear systems and determinantal random point fields. [PDF]
, 2009 Tracy and Widom showed that fundamentally important kernels in random matrix theory arise from systems of differential equations with rational coefficient.
Blower, Gordon
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On the quantum inverse scattering problem [PDF]
Nuclear Physics B, 2000 A general method for solving the so-called quantum inverse scattering problem (namely the reconstruction of local quantum (field) operators in term of the quantum monodromy matrix satisfying a Yang-Baxter quadratic algebra governed by an R-matrix) for a large class of lattice quantum integrable models is given.
Maillet, Jean Michel +2 more
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A note on an inverse scattering problem [PDF]
Proceedings of the American Mathematical Society, 1979 Here it is shown that the inverse scattering problem of a plane wave incident off a spherically symmetric medium is an improperly posed problem and that if a continuous index of refraction exists, then it is unique.
Ahner, John F., Kahane, Charles S.
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The method of fundamental solutions for Helmholtz-type problems [PDF]
, 2013 The purpose of this thesis is to extend the range of application of the method fundamental solutions (MFS) to solve direct and inverse geometric problems associated with two- or three-dimensional Helmholtz-type equations.
Bin-Mohsin, Bandar Abdullah
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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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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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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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