Blind backscattering experimental data collected in the field and an approximately globally convergent inverse algorithm

被引：40

作者：

Kuzhuget, Andrey V. ^{[2
]}

Beilina, Larisa ^{[3
,4
]}

Klibanov, Michael V. ^{[1
]}

Sullivan, Anders ^{[5
]}

Lam Nguyen ^{[5
]}

Fiddy, Michael A. ^{[6
]}

机构：

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

[2] Morgan Stanley & Co Inc, UNCC ChalmersGU Team, New York, NY 10036 USA

[3] Chalmers Univ Technol, Dept Math Sci, UNCC ChalmersGU Team, SE-42196 Gothenburg, Sweden

[4] Gothenburg Univ, UNCC ChalmersGU Team, SE-42196 Gothenburg, Sweden

[5] USA, Res Lab, ARL Team, Adelphy, MD 20783 USA

[6] Univ N Carolina, Optoelect Ctr, UNCC ChalmersGU Team, Charlotte, NC 28223 USA

来源：

INVERSE PROBLEMS | 2012年 / 28卷 / 09期

基金：

瑞典研究理事会;

关键词：

NUMERICAL-METHOD; SCATTERING PROBLEM; RECONSTRUCTION;

D O I：

10.1088/0266-5611/28/9/095007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An approximately globally convergent numerical method for a 1D coefficient inverse problem for a hyperbolic PDE is applied to image dielectric constants of targets from blind experimental data. The data were collected in the field by the Forward Looking Radar of the US Army Research Laboratory. A posteriori analysis has revealed that computed and tabulated values of dielectric constants are in good agreement. Convergence analysis is presented.

引用

页数：33

共 29 条

[1] Optical imaging of phantoms from real data by an approximately globally convergent inverse algorithm
Su, Jianzhong
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Liu, Yueming
Lin, Zhijin
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Liu, Hanli
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2013, 21 (07) : 1125 - 1150
[2] RECONSTRUCTION OF THE REFRACTIVE INDEX FROM EXPERIMENTAL BACKSCATTERING DATA USING A GLOBALLY CONVERGENT INVERSE METHOD
Nguyen Trung Thanh
Beilina, Larisa
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SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2014, 36 (03): : B273 - B293
[3] A GLOBALLY CONVERGENT NUMERICAL METHOD FOR A COEFFICIENT INVERSE PROBLEM WITH BACKSCATTERING DATA
Kuzhuget, Andrey V.
Pantong, Natee
Klibanov, Michael V.
METHODS AND APPLICATIONS OF ANALYSIS, 2011, 18 (01) : 47 - 68
[4] Imaging of Buried Objects from Experimental Backscattering Time-Dependent Measurements Using a Globally Convergent Inverse Algorithm
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SIAM JOURNAL ON IMAGING SCIENCES, 2015, 8 (01): : 757 - 786
[5] Reconstruction of dielectrics from experimental data via a hybrid globally convergent/adaptive inverse algorithm
Beilina, Larisa
Klibanov, Michael V.
INVERSE PROBLEMS, 2010, 26 (12)
[6] Picosecond scale experimental verification of a globally convergent algorithm for a coefficient inverse problem
Klibanov, Michael V.
Fiddy, Michael A.
Beilina, Larisa
Pantong, Natee
Schenk, John
INVERSE PROBLEMS, 2010, 26 (04)
[7] Numerical solution of a coefficient inverse problem with multi-frequency experimental raw data by a globally convergent algorithm
Dinh-Liem Nguyen
Klibanov, Michael V.
Nguyen, Loc H.
Kolesov, Aleksandr E.
Fiddy, Michael A.
Liu, Hui
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 345 : 17 - 32
[8] A globally convergent convexification algorithm for multidimensional coefficient inverse problems
Department of Mathematics and Statistics, University of North Carolina at Charlotte, Charlotte, NC 28223, United States
不详
Journal of Inverse and Ill-Posed Problems, 2007, 15 (02): : 167 - 179
[9] Quantitative Image Recovery From Measured Blind Backscattered Data Using a Globally Convergent Inverse Method
Kuzhuget, Andrey V.
Beilina, Larisa
Klibanov, Michael V.
Sullivan, Anders
Lam Nguyen
Fiddy, Michael A.
IEEE TRANSACTIONS ON GEOSCIENCE AND REMOTE SENSING, 2013, 51 (05): : 2937 - 2948
[10] A GLOBALLY CONVERGENT NUMERICAL METHOD FOR A 1-D INVERSE MEDIUM PROBLEM WITH EXPERIMENTAL DATA
Klibanov, Michael V.
Nguyen, Loc H.
Sullivan, Anders
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INVERSE PROBLEMS AND IMAGING, 2016, 10 (04) : 1057 - 1085

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