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

[21] The existence of complex transmission eigenvalues for spherically stratified media [J].

Colton, David ;

Leung, Yuk-J. .

APPLICABLE ANALYSIS, 2017, 96 (01) :39-47

[22] THE ELECTROMAGNETIC INTERIOR TRANSMISSION PROBLEM FOR REGIONS WITH CAVITIES [J].

Cossonniere, Anne ;

Haddar, Houssem .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2011, 43 (04) :1698-1715

[23] Computing estimates of material properties from transmission eigenvalues [J].

Giorgi, Giovanni ;

Haddar, Houssem .

INVERSE PROBLEMS, 2012, 28 (05)

[24] Toward a time domain approach to the linear sampling method [J].

Guo, Y. ;

Monk, P. ;

Colton, D. .

INVERSE PROBLEMS, 2013, 29 (09)

[25] The linear sampling method for solving the electromagnetic inverse medium problem [J].

Haddar, H ;

Monk, P .

INVERSE PROBLEMS, 2002, 18 (03) :891-906

[26] The interior transmission problem for anisotropic Maxwell's equations and its applications to the inverse problem [J].

Haddar, H .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2004, 27 (18) :2111-2129

[27]

Houssem H., 2014, LECT NOTES MATH

[28] Factorization of the far-field operator for the inhomogeneous medium case and an application in inverse scattering theory [J].

Kirsch, A .

INVERSE PROBLEMS, 1999, 15 (02) :413-429

[29] THE DENSENESS OF THE FAR FIELD PATTERNS FOR THE TRANSMISSION PROBLEM [J].

KIRSCH, A .

IMA JOURNAL OF APPLIED MATHEMATICS, 1986, 37 (03) :213-225

[30]

Kirsch A., 2013, INV PROB, V29

← 1 2 3 4 →