Inverse scattering for the higher order Schrödinger operator with a first order perturbation

2019 ◽  
Vol 27 (3) ◽  
pp. 409-427
Author(s):  
Hua Huang ◽  
Zhiwen Duan ◽  
Quan Zheng
Keyword(s):  
Inverse Scattering ◽  
Schrödinger Operator ◽  
Scattering Matrix ◽  
Higher Order ◽  
Zero Order ◽  
Schrodinger Operator ◽  
Scattering Problems ◽  
First Order ◽  
Fixed Energy ◽  
First Order Perturbation

Abstract This paper concerns inverse scattering problems at a fixed energy for the higher order Schrödinger operator with the first order perturbed potentials in dimensions {n\geq 3} . We show that the scattering matrix uniquely determines the first order perturbed potentials and the zero order potentials.

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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