Inverse scattering with fixed observation angle data in 2D

被引：8
|
作者：
Fotopoulos, Georgios [1 ]
Harju, Markus [1 ]
机构：
[1] Univ Oulu, Dept Math Sci, Oulu, Finland
来源：
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING | 2017年 / 25卷 / 10期
基金：
芬兰科学院;
关键词：
Inverse scattering; fixed angle data; Born approximation; nonlinear Schrodinger equation; numerical solution; ELECTROMAGNETIC-WAVES; SCHRODINGER-EQUATION; OBSTACLE SCATTERING; BACKSCATTERING; SINGULARITIES; DIMENSIONS; PROPAGATION; UNIQUENESS; ALGORITHM; RECOVERY;
D O I：
10.1080/17415977.2016.1267170
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
We study the inverse scattering problem with fixed observation angle data for a non-linear Schrodinger equation in 2D. We show that the main singularities of an unknown potential can be recovered from the Born approximation. Numerical examples are given to illustrate the method.
引用
收藏
页码：1492 / 1507
页数：16
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