Menken, On the inverse problem of scattering theory for a differential operator of the second order, Functional analysis and its applications, 185- 194, North-Holland Math. Stud., 197, Elsevier, Amsterdam, 2004.
In the seismic theory of inverse scattering, the problem is to infer the shape, size, and constitutive properties of reflectors from scattering measurements recorded at or near the earth's surface. Specifically, the geophysical inverse scattering problem is concerned with the identification of the el...
The aim of the present paper is to investigate the inverse scattering problem on the half-line[0,∞)for some version of the one-dimensional Schrödinger equation with turning. In the case ofρ(x)=1, the inverse problem of scattering theory for (1.1) with boundary condition not containing ...
Professor Kenjiro Kimura and Dr Noriaki Kimura succeeded in solving the inverse scattering problem analytically for the first time in the world in 2012, and have established multi-static scattering field theory. The structure of the scattering field is derived from the fundamental equations of the s...
This method utilizes the continued.J-fraction expansion of a quantity which is analogous to the R-matrix of the nuclear reaction theory. The same technique is also used to investigate the exact inversion of the scattering problem, when the phase shifts are calculated by solving the finite-...
Newton, R., The Gel'fand-Levitan method in the inverse scattering problem. Lectures presented at the NATO Advanced Study Institute in scattering theory, (June 11-29, 1973) at the Univ. of Denver, Colorado.R.G. Newton, The GeFfand-Levitan method in inverse scattering problems, in: ...
Tracing multiple scattering trajectories for deep optical imaging in scattering media Article Open access 28 October 2023 On the inverse problem in optical coherence tomography Article Open access 27 January 2023 Introduction The term scatterometry is a general term for a variety of methods that ...
A survey is given of the linear sampling method for solving the inverse scattering problem of determing the support of an inhomogeneous medium from a knowledge of the far field pattern of the scattered field. An application is given to the problem of det
Since the Factorization Method is particularly simple for the problem of EIT and this field has attracted a lot of attention during the past decade a chapter on EIT has been added in this monograph as Chapter 5 while the chapter on inverse scattering theory is now Chapter 6.The main changes...
spectral problem and the inverse scattering problem. The corresponding direct problems are studied with respect to existence, uniqueness and continuous dependence on parameters. Then some theoretical results as well as numerical procedures for the inverse problems are discussed. The choice of material and...