Qualitative Methods in Inverse Electromagnetic Scattering Theory Inverse scattering for anisotropic media

被引：17

作者：

Cakoni, Fioralba ^{[1
]}

Colton, David ^{[2
]}

Monk, Peter ^{[2
]}

机构：

[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

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

来源：

IEEE ANTENNAS AND PROPAGATION MAGAZINE | 2017年 / 59卷 / 05期

基金：

美国国家科学基金会;

关键词：

INTERIOR TRANSMISSION PROBLEM; LINEAR SAMPLING METHOD; FAR-FIELD PATTERNS; ACOUSTIC-WAVES; FACTORIZATION; EIGENVALUES; EXISTENCE; EQUATIONS; REGIONS;

D O I：

10.1109/MAP.2017.2731662

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

In recent years, a new approach has been developed in the study of the inverse scattering problem for electromagnetic waves. In this approach, a weak scattering assumption has been avoided, and no use has been made of nonlinear optimization methods. Instead, a study is made of the analytic properties of the far-field operator, and the results of this study are used to determine the support of the scattering object together with an estimate of the material properties of the scatterer. This article introduces this new approach in inverse electromagnetic scattering theory, which is called the qualitative approach to inverse scattering theory. © 2017 IEEE.

引用

页码：24 / 33

页数：10

共 38 条

[1] THE LINEAR SAMPLING METHOD REVISITED [J].

Arens, Tilo ;

Lechleiter, Armin .

JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2009, 21 (02) :179-202

[2] A generalized formulation of the linear sampling method with exact characterization of targets in terms of farfield measurements [J].

Audibert, Lorenzo ;

Haddar, Houssem .

INVERSE PROBLEMS, 2014, 30 (03)

[3] Corners Always Scatter [J].

Blasten, Eemeli ;

Paivarinta, Lassi ;

Sylvester, John .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2014, 331 (02) :725-753

[4] STEKLOFF EIGENVALUES IN INVERSE SCATTERING [J].

Cakoni, F. ;

Colton, D. ;

Meng, S. ;

Monk, P. .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2016, 76 (04) :1737-1763

[5] A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media [J].

Cakoni, F ;

Colton, D .

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, 2003, 46 :293-314

[6] Combined far-field operators in electromagnetic inverse scattering theory [J].

Cakoni, F ;

Colton, D .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2003, 26 (05) :413-429

[7]

CAKONI F, 2011, LINEAR SAMPLING METH

[8]

Cakoni F., 2016, INVERSE SCATTERING T

[9]

Cakoni F., 2005, P 6 EUR C NUM MATH A, P119

[10] Analysis of two linear sampling methods applied to electromagnetic imaging of buried objects [J].

Cakoni, Fioralba ;

Fares, M'Barek ;

Haddar, Houssem .

INVERSE PROBLEMS, 2006, 22 (03) :845-867

← 1 2 3 4 →