INVERSE SCATTERING PROBLEM ON THE LINE: COUPLED CHANNELS WITH THRESHOLDS AND BOUND STATES

2002 ◽  
Author(s):  
S. A. SOFIANOS
Keyword(s):  
Inverse Scattering ◽  
Bound States ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Coupled Channels

DISCUSSION OF QUANTUM INVERSE SCATTERING PROBLEMS FOR COUPLED CHANNELS AT FIXED ENERGY

2011 ◽  
Vol 20 (08) ◽  
pp. 1765-1773 ◽  
Author(s):  
WERNER SCHEID ◽  
BARNABAS APAGYI
Keyword(s):  
Angular Momentum ◽  
Inverse Scattering ◽  
Nuclear Physics ◽  
Total Angular Momentum ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Practical Method ◽  
Scattering Problems ◽  
Coupled Channels ◽  
S Matrix

In nuclear physics, the inverse scattering problem for coupled channels at fixed energies searches for the coupling potentials by using the S matrix as information. On the basis of the Newton–Sabatier method we investigate the special case that the coupling is independent of the total angular momentum. We discuss transparent potentials and consider a principal, but not practical method for the solution of coupling potentials dependent on total angular momentum.

QUANTUM INVERSE SCATTERING PROBLEM FOR COUPLED CHANNELS

2008 ◽  
Vol 22 (23) ◽  
pp. 2241-2256
Author(s):  
BARNABÁS APAGYI ◽  
WERNER SCHEID
Keyword(s):  
Inverse Scattering ◽  
Nuclear Reactions ◽  
Scattering Problem ◽  
Inverse Scattering Problem ◽  
Fixed Energy ◽  
Concise Review ◽  
Coupled Channels ◽  
Reaction Channels ◽  
Coupled Channel ◽  
Coupled Reaction

The article gives a concise review on methods for solving the inverse scattering problem of coupled reaction channels in quantum mechanics at fixed energy and presents specific applications to nuclear reactions. Two methods are considered, namely the Newton–Sabatier method and an approximate method based on the first Born approximation. Examples with artificial coupling potentials are shown to provide successful tests of both the methods. Further developments of the coupled channel inverse problem at fixed energy are needed for manifold applications in various fields of physics.

scholarly journals Imaging of bi-anisotropic periodic structures from electromagnetic near-field data

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Dinh-Liem Nguyen ◽  
Trung Truong
Keyword(s):  
Inverse Scattering ◽  
Maxwell Equations ◽  
Field Data ◽  
Periodic Structures ◽  
Near Field ◽  
Scattering Problem ◽  
Three Dimensional ◽  
Inverse Scattering Problem ◽  
Factorization Method ◽  
Unique Determination

AbstractThis paper is concerned with the inverse scattering problem for the three-dimensional Maxwell equations in bi-anisotropic periodic structures. The inverse scattering problem aims to determine the shape of bi-anisotropic periodic scatterers from electromagnetic near-field data at a fixed frequency. The factorization method is studied as an analytical and numerical tool for solving the inverse problem. We provide a rigorous justification of the factorization method which results in the unique determination and a fast imaging algorithm for the periodic scatterer. Numerical examples for imaging three-dimensional periodic structures are presented to examine the efficiency of the method.

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