Recent developments in inverse acoustic scattering theory

被引：251

作者：

Colton, D ^{[1
]}

Coyle, J

Monk, P

机构：

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

[2] Univ Strathclyde, Dept Math, Glasgow, Lanark, Scotland

来源：

SIAM REVIEW | 2000年 / 42卷 / 03期

关键词：

inverse problems; scattering theory;

D O I：

10.1137/S0036144500367337

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We survey some of the highlights of inverse scattering theory as it has developed over the last 15 years, with emphasis on uniqueness theorems and reconstruction algorithms for time harmonic acoustic waves. Included in our presentation are numerical experiments using real data and numerical examples of the use of inverse scattering methods to detect buried objects.

引用

收藏

页码：369 / 414

页数：46

相关论文

共 79 条

[61] Imaging of unknown targets from measured scattering data [J].

Pommet, DA ;

Morris, JB ;

McGahan, RV ;

Fiddy, MA .

IEEE ANTENNAS AND PROPAGATION MAGAZINE, 1999, 41 (01) :40-44

[62] FRECHET DIFFERENTIABILITY OF BOUNDARY INTEGRAL-OPERATORS IN INVERSE ACOUSTIC SCATTERING [J].

POTTHAST, R .

INVERSE PROBLEMS, 1994, 10 (02) :431-447

[63] A point source method for inverse acoustic and electromagnetic obstacle scattering problems [J].

Potthast, R .

IMA JOURNAL OF APPLIED MATHEMATICS, 1998, 61 (02) :119-140

[64]

POTTHAST R, IN PRESS J COMPUT AP

[65]

Potthast Roland, 1999, J INTEGRAL EQU APPL, V11, P197

[66]

Ramm A., 1992, MULTIDIMENSIONAL INV

[67] RECOVERY OF THE POTENTIAL FROM FIXED-ENERGY SCATTERING DATA [J].

RAMM, AG .

INVERSE PROBLEMS, 1988, 4 (03) :877-886

[68] NEWTON-KANTOROVITCH ALGORITHM APPLIED TO AN ELECTROMAGNETIC INVERSE PROBLEM [J].

ROGER, A .

IEEE TRANSACTIONS ON ANTENNAS AND PROPAGATION, 1981, 29 (02) :232-238

[69] THE INTERIOR TRANSMISSION PROBLEM AND INVERSE SCATTERING FROM INHOMOGENEOUS-MEDIA [J].

RYNNE, BP ;

SLEEMAN, BD .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1991, 22 (06) :1755-1762

[70]

Sommerfeld A., 1949, PARTIAL DIFFERENTIAL, V1

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