Analytic Methods for Inverse Scattering Theory

2004 ◽  
pp. 165-185 ◽  
Author(s):  
Lassi Päivärinta
Keyword(s):  
Inverse Scattering ◽  
Scattering Theory ◽  
Analytic Methods ◽  
Inverse Scattering Theory

Reconstruction of inclusions in electrical conductors

2020 ◽  
Author(s):  
Michele Di Cristo ◽  
Giacomo Milan
Keyword(s):  
Electrical Impedance Tomography ◽  
Inverse Scattering ◽  
Scattering Theory ◽  
Electrical Impedance ◽  
Functional Method ◽  
Impedance Tomography ◽  
Numerical Examples ◽  
Electrical Conductors ◽  
Inverse Scattering Theory

Abstract We investigate the reciprocity gap functional method, which has been developed in the inverse scattering theory, in the context of electrical impedance tomography. In particular, we aim to reconstruct an inclusion contained in a body, whose conductivity is different from the conductivity of the surrounding material. Numerical examples are given, showing the performance of our algorithm.

Inverse scattering theory for systems of the Zakharov–Shabat type

1983 ◽  
Vol 24 (6) ◽  
pp. 1502-1508 ◽  
Author(s):  
Helena M. A. de Castro ◽  
Walter F. Wreszinski
Keyword(s):  
Inverse Scattering ◽  
Scattering Theory ◽  
Inverse Scattering Theory

An approximation problem in inverse scattering theory

1991 ◽  
Vol 41 (1-4) ◽  
pp. 23-32 ◽  
Author(s):  
David Colton ◽  
Andreas Kirsch
Keyword(s):  
Inverse Scattering ◽  
Scattering Theory ◽  
Approximation Problem ◽  
Inverse Scattering Theory

Looking Back on Inverse Scattering Theory

SIAM Review ◽  
2018 ◽  
Vol 60 (4) ◽  
pp. 779-807 ◽  
Author(s):  
David Colton ◽  
Rainer Kress
Keyword(s):  
Inverse Scattering ◽  
Scattering Theory ◽  
Looking Back ◽  
Inverse Scattering Theory
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