Transmission eigenvalues and the nondestructive testing of dielectrics

被引：67

作者：

Cakoni, Fioralba ^{[1
]}

Cayoeren, Mehmet ^{[2
]}

Colton, David ^{[1
]}

机构：

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

[2] Istanbul Tech Univ, Elect & Elect Engn Fac, TR-34469 Istanbul, Turkey

来源：

INVERSE PROBLEMS | 2008年 / 24卷 / 06期

关键词：

D O I：

10.1088/0266-5611/24/6/065016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show how transmission eigenvalues can be determined from electromagnetic scattering data and used to determine the presence of cavities in a dielectric.

引用

页数：15

共 9 条

[1] On the use of transmission eigenvalues to estimate the index of refraction from far field data
Cakoni, Fioralba
Colton, David
Monk, Peter
[J]. INVERSE PROBLEMS, 2007, 23 (02) : 507 - 522
[2] Analysis of two linear sampling methods applied to electromagnetic imaging of buried objects
Cakoni, Fioralba
Fares, M'Barek
Haddar, Houssem
[J]. INVERSE PROBLEMS, 2006, 22 (03) : 845 - 867
[3] An application of the reciprocity gap functional to inverse scattering theory
Colton, D
Haddar, H
[J]. INVERSE PROBLEMS, 2005, 21 (01) : 383 - 398
[4] On the denseness of Herglotz wave functions and electromagnetic Herglotz pairs in Sobolev spaces
Colton, D
Kress, R
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2001, 24 (16) : 1289 - 1303
[5] Recent developments in inverse acoustic scattering theory
Colton, D
Coyle, J
Monk, P
[J]. SIAM REVIEW, 2000, 42 (03) : 369 - 414
[6] Colton D., 1998, INVERSE ACOUSTIC ELE, DOI DOI 10.1007/978-3-662-03537-5
[7] The interior transmission problem
Colton, David
Paeivaerinta, Lassi
Sylvester, John
[J]. INVERSE PROBLEMS AND IMAGING, 2007, 1 (01) : 13 - 28
[8] TRANSMISSION EIGENVALUES
Paivarinta, Lassi
Sylvester, John
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2008, 40 (02) : 738 - 753
[9] SYLVESTER J, ESTIMATE FR IN PRESS

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