On different possibilities offered by the Born approximation in inverse scattering problems

1989 ◽  
Vol 5 (6) ◽  
pp. 1057-1074 ◽  
Author(s):  
M Idemen
Keyword(s):  
Inverse Scattering ◽  
Born Approximation ◽  
Scattering Problems ◽  
Inverse Scattering Problems

Numerical Solution of Direct and Inverse Scattering Problems in 1D with a General Nonlinearity

2014 ◽  
Vol 14 (3) ◽  
pp. 347-359 ◽  
Author(s):  
Markus Harju ◽  
Georgios Fotopoulos
Keyword(s):  
Inverse Scattering ◽  
Born Approximation ◽  
Direct Problem ◽  
Regularization Methods ◽  
Scattering Problems ◽  
Numerical Examples ◽  
Method Of Integral Equations ◽  
Inverse Scattering Problems ◽  
General Nonlinearity ◽  
Methods Numerical

Abstract.We consider direct and inverse scattering problems for a general nonlinear Schrödinger equation. The direct problem is solved by the method of integral equations. The inverse problem is solved by the method of Born approximation. The computation of the Born approximation is carried out using regularization methods. Numerical examples are given to illustrate the effectiveness of these methods.

A diagonalized improved subspace-based optimization method for solving 2-D inverse scattering problems

2017 ◽  
Vol 59 (8) ◽  
pp. 2089-2095 ◽  
Author(s):  
Yulang Liu ◽  
Zhiqin Zhao ◽  
Xiaozhang Zhu ◽  
Wei Yang ◽  
Zaiping Nie ◽  
...  
Keyword(s):  
Inverse Scattering ◽  
Optimization Method ◽  
Scattering Problems ◽  
Inverse Scattering Problems

Dual regularization in non-linear inverse scattering problems

2016 ◽  
Vol 24 (7) ◽  
pp. 1215-1239 ◽  
Author(s):  
Konstantin P. Gaikovich ◽  
Petr K. Gaikovich ◽  
Yelena S. Maksimovitch ◽  
Alexander I. Smirnov ◽  
Mikhail I. Sumin
Keyword(s):  
Inverse Scattering ◽  
Scattering Problems ◽  
Inverse Scattering Problems ◽  
Dual Regularization ◽  
Non Linear
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