Single measurement experimental data for an inverse medium problem inverted by a multi-frequency globally convergent numerical method

被引：10

作者：

Kolesov, Aleksandr E. ^{[1
,2
]}

Klibanov, Michael V. ^{[1
]}

Nguyen, Loc H. ^{[1
]}

Dinh-Liem Nguyen ^{[1
]}

Thanh, Nguyen T. ^{[3
]}

机构：

[1] Univ N Carolina, Dept Math & Stat, Charlotte, NC 28223 USA

[2] North Eastern Fed Univ, Inst Math & Informat Sci, Yakutsk, Russia

[3] Iowa State Univ, Dept Math, Ames, IA 50011 USA

来源：

APPLIED NUMERICAL MATHEMATICS | 2017年 / 120卷

关键词：

Experimental time dependent data; Multi-frequency data; Global convergence; Coefficient inverse problems; Inverse medium problems; SCATTERING;

D O I：

10.1016/j.apnum.2017.05.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The recently developed globally convergent numerical method for an inverse medium problem with the data resulting from a single measurement, proposed in [23], is tested on experimental data. The data were originally collected in the time domain, whereas the method works in the frequency domain with the multi-frequency data. Due to a significant amount of noise in the measured data, a straightforward application of the Fourier transform to these data does not work. Hence, we develop a heuristic data preprocessing procedure, which is described in the paper. The preprocessed data are used as the input for the inversion algorithm. Numerical results demonstrate a good accuracy of the reconstruction of both refractive indices and locations of targets. (C) 2017 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：176 / 196

页数：21