Book ChapterDOI
Reconstruction of Inner Field By Marchenko-Newton-Rose Method and Solution of Multi-Dimensional Inverse Scattering Problem
Valentin A. Burov,S. A. Morozov,O. D. Rumiantseva +2 more
- pp 101-106
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The article was published on 2002-01-01. It has received 0 citations till now. The article focuses on the topics: Inverse scattering problem & Scattering theory.read more
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Journal ArticleDOI
Inverse scattering solutions by a sinc basis, multiple source, moment method--Part I: Theory.
TL;DR: A new method for solving the inverse scattering problem for the scalar, inhomogeneous, exact, Helmholtz wave equation is presented and it is shown that the new problem is well posed, has a unique solution, and is stable with noisy data.
Journal ArticleDOI
Inverse scattering. II. Three dimensions
TL;DR: In this article, the Schrodinger equation was used to reconstruct a local potential without spherical symmetry in three-dimensional space, based on a generalization of the Marchenko equation and a generalized version of the Gel'fand-Levitan equation.
Journal ArticleDOI
Inverse scattering solutions by a sinc basis, multiple source, moment method--Part III: Fast algorithms.
TL;DR: A new method based on FFT convolution and the concept of backprojection which solves the inverse scattering problem for the Helmholtz wave equation in time proportional to n3 X log(n) time is demonstrated.
Journal ArticleDOI
Three-dimensional inverse scattering in anisotropic elastic media
D E Budreck,J H Rose +1 more
TL;DR: In this article, a near-field version of the Newton-Marchenko equation for anisotropic elastodynamics, a set of self-consistent equations for the exact spatial reconstruction of the inhomogeneous density function, and a new generalised completeness relation for the elastodynamic Green function corresponding to an inhomogenous anisometric media are presented.
Journal ArticleDOI
Determination of the wave field from scattering data.
TL;DR: A new derivation of this integral equation which depends only on very general features of the scattering process such as causality, linearity, and the far-field decay of the wave field is presented.
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