Target detection and characterization from electromagnetic induction data

被引：48

作者：

Ammari, Habib ^{[1
]}

Chen, Junqing ^{[2
]}

Chen, Zhiming ^{[3
]}

Garnier, Josselin ^{[4
,5
]}

Volkov, Darko ^{[6
]}

机构：

[1] Ecole Normale Super, Dept Math & Applicat, F-75005 Paris, France

[2] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

[3] Chinese Acad Sci, LSEC, Inst Computat Math, Beijing 100190, Peoples R China

[4] Univ Paris 08, Lab Probabilites & Modeles Aleatoires, F-75205 Paris 13, France

[5] Univ Paris 08, Lab Jacques Louis Lions, F-75205 Paris 13, France

[6] Worcester Polytech Inst, Dept Math Sci, Worcester, MA 01609 USA

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2014年 / 101卷 / 01期

关键词：

Eddy current imaging; Induction data; Detection test; Defect localization; Hadamard technique; LARGEST EIGENVALUE; SMALL-DIAMETER; IDENTIFICATION;

D O I：

10.1016/j.matpur.2013.05.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of this paper is to contribute to the field of nondestructive testing by eddy currents. We provide a mathematical analysis and a numerical framework for simulating the imaging of arbitrarily shaped small-volume conductive inclusions from electromagnetic induction data. We derive, with proof, a small-volume expansion of the eddy current data measured away from the conductive inclusion. The formula involves two polarization tensors: one associated with the magnetic contrast and the second with the conductivity of the inclusion. Based on this new formula, we design a location search algorithm. We include in this paper a discussion on data sampling, noise reduction, and probability of detection. We provide numerical examples that support our findings. (C) 2013 Elsevier Masson SAS. All rights reserved.

引用

页码：54 / 75

页数：22

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