An application of the reciprocity gap functional to inverse scattering theory

被引：100

作者：

Colton, D ^{[1
]}

Haddar, H

机构：

[1] Univ Delaware, Dept Math Sci, Newark, DE 19716 USA

[2] INRIA Rocquencourt, F-78153 Le Chesnay, France

来源：

INVERSE PROBLEMS | 2005年 / 21卷 / 01期

关键词：

D O I：

10.1088/0266-5611/21/1/023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A method is given for determining the shape of an object from the Cauchy data of the total field measured on the boundary of a domain containing the object in its interior. An application is given to the problem of determining the shape of an object buried in the earth from measurements on the surface of the earth. The advantages of the method are that (1) no a priori knowledge is needed of the physical properties of the scattering object and (2) there is no need to compute Green's function for the background medium.

引用

页码：383 / 398

页数：16

共 13 条

[1] Identification of planar cracks by complete overdetermined data: Inversion formulae [J].

Andrieux, S ;

BenAbda, A .

INVERSE PROBLEMS, 1996, 12 (05) :553-563

[2] Why linear sampling works [J].

Arens, T .

INVERSE PROBLEMS, 2004, 20 (01) :163-173

[3]

BARILE U, 2004, P 2004 URSI INT S EL

[4]

Baum C. E., 1999, DETECTION IDENTIFICA

[5] APPROXIMATION BY SOLUTIONS OF PARTIAL DIFFERENTIAL EQUATIONS [J].

BROWDER, FE .

AMERICAN JOURNAL OF MATHEMATICS, 1962, 84 (01) :134-&

[6]

Calderon A.P., 1980, Seminar on Numerical Analysis and its Applications to Continuum Physics, Rio de Janeiro, 1980, P65, DOI DOI 10.1590/S0101-82052006000200002

[7] The linear sampling method in inverse electromagnetic scattering theory [J].

Colton, D ;

Haddar, H ;

Piana, M .

INVERSE PROBLEMS, 2003, 19 (06) :S105-S137

[8] An approximation property of importance in inverse scattering theory [J].

Colton, D ;

Sleeman, BD .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2001, 44 :449-454

[9]

Colton D.L., 1998, INVERSE ACOUSTIC ELE, V93

[10] Locating the support of objects contained in a two-layered background medium in two dimensions [J].

Coyle, J .

INVERSE PROBLEMS, 2000, 16 (02) :275-292

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