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Volumn 31, Issue 8, 2015, Pages

The inside-outside duality for inverse scattering problems with near field data

Author keywords

inside outside duality; inverse scattering; near field data

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; INVERSE PROBLEMS;

EID: 84937896802     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/31/8/085004     Document Type: Article
Times cited : (10)

References (25)
  • 1
    • 79960357016 scopus 로고    scopus 로고
    • Direct and inverse medium scattering in a 3D homogeneous planar waveguide
    • Arens T, Gintides D and Lechleiter A 2011 Direct and inverse medium scattering in a 3D homogeneous planar waveguide SIAM J. Appl. Math. 71 753-72
    • (2011) SIAM J. Appl. Math. , vol.71 , pp. 753-772
    • Arens, T.1    Gintides, D.2    Lechleiter, A.3
  • 2
    • 0019386978 scopus 로고
    • Curvilinear co-ordinate systems in which the helmholtz equation separates
    • Arscott F M and Darai A 1981 Curvilinear co-ordinate systems in which the helmholtz equation separates IMA J. Appl. Math. 27 33-70
    • (1981) IMA J. Appl. Math. , vol.27 , pp. 33-70
    • Arscott, F.M.1    Darai, A.2
  • 3
    • 21844519224 scopus 로고
    • Eigenvalues of the far field operator and inverse scattering theory
    • Colton D and Kress R 1995 Eigenvalues of the far field operator and inverse scattering theory SIAM J. Math. Anal. 26 601-15
    • (1995) SIAM J. Math. Anal. , vol.26 , pp. 601-615
    • Colton, D.1    Kress, R.2
  • 5
    • 84885378013 scopus 로고    scopus 로고
    • Surface integral formulation of the interior transmission problem
    • Cossonnière A and Haddar H 2013 Surface integral formulation of the interior transmission problem J. Integral Equ. Appl. 25 341-76
    • (2013) J. Integral Equ. Appl. , vol.25 , pp. 341-376
    • Cossonnière, A.1    Haddar, H.2
  • 6
    • 84937932669 scopus 로고
    • An effective algorithm for computing the numerical ranges
    • Cowen C C and Harel E 1995 An effective algorithm for computing the numerical ranges Technical Report Purdue University, Department of Mathematics
    • (1995) Technical Report
    • Cowen, C.C.1    Harel, E.2
  • 7
    • 0012009863 scopus 로고
    • On the numerical range of compact operators on Hilbert spaces
    • de Barra G, Giles J R and Sims B 1972 On the numerical range of compact operators on Hilbert spaces J. London Math. Soc. 5 704-6
    • (1972) J. London Math. Soc. , vol.5 , pp. 704-706
    • De Barra, G.1    Giles, J.R.2    Sims, B.3
  • 10
    • 84968494959 scopus 로고
    • The Toeplitz-Hausdorff theorem for linear operators
    • Gustafson K 1970 The Toeplitz-Hausdorff theorem for linear operators Proc. Am. Math. Soc. 25 203-4
    • (1970) Proc. Am. Math. Soc. , vol.25 , pp. 203-204
    • Gustafson, K.1
  • 11
    • 0011969063 scopus 로고
    • Über den numerischen Wertebereich eines Operators
    • Hildebrandt S 1966 Über den numerischen Wertebereich eines Operators Math. Ann. 163 230-47
    • (1966) Math. Ann. , vol.163 , pp. 230-247
    • Hildebrandt, S.1
  • 12
    • 84924988066 scopus 로고    scopus 로고
    • Near-field imaging of scattering obstacles with the factorization method
    • Hu G, Yang J, Zhang B and Zhang H 2014 Near-field imaging of scattering obstacles with the factorization method Inverse Problems 30 095005
    • (2014) Inverse Problems , vol.30 , Issue.9
    • Hu, G.1    Yang, J.2    Zhang, B.3    Zhang, H.4
  • 14
    • 0000714376 scopus 로고    scopus 로고
    • Characterization of the shape of a scattering obstacle using the spectral data of the far field operator
    • Kirsch A 1998 Characterization of the shape of a scattering obstacle using the spectral data of the far field operator Inverse Problems 14 1489-512
    • (1998) Inverse Problems , vol.14 , Issue.6 , pp. 1489-1512
    • Kirsch, A.1
  • 15
    • 41849130736 scopus 로고    scopus 로고
    • An integral equation for Maxwell's equations in a layered medium with an application to the Factorization method
    • Kirsch A 2007 An integral equation for Maxwell's equations in a layered medium with an application to the Factorization method J. Int. Equ. Appl. 19 333-58
    • (2007) J. Int. Equ. Appl. , vol.19 , pp. 333-358
    • Kirsch, A.1
  • 17
    • 84884626709 scopus 로고    scopus 로고
    • The inside-outside duality for scattering problems by inhomogeneous media
    • Kirsch A and Lechleiter A 2013 The inside-outside duality for scattering problems by inhomogeneous media Inverse Problems 29 104011
    • (2013) Inverse Problems , vol.29 , Issue.10
    • Kirsch, A.1    Lechleiter, A.2
  • 19
    • 84968515684 scopus 로고
    • The boundary of the numerical range
    • Lancaster J S 1975 The boundary of the numerical range Proc. Am. Math. Soc. 49 393-8
    • (1975) Proc. Am. Math. Soc. , vol.49 , pp. 393-398
    • Lancaster, J.S.1
  • 20
    • 84897436391 scopus 로고    scopus 로고
    • Analytical characterization and numerical approximation of interior eigenvalues for impenetrable scatterers from far fields
    • Lechleiter A and Peters S 2014 Analytical characterization and numerical approximation of interior eigenvalues for impenetrable scatterers from far fields Inverse Problems 30 045006
    • (2014) Inverse Problems , vol.30 , Issue.4
    • Lechleiter, A.1    Peters, S.2
  • 21
    • 84937915110 scopus 로고    scopus 로고
    • Determining transmission eigenvalues of anisotropic inhomogeneous media from far field data
    • Lechleiter A and Peters S 2015 Determining transmission eigenvalues of anisotropic inhomogeneous media from far field data Commun. Math. Sci. submitted
    • (2015) Commun. Math. Sci.
    • Lechleiter, A.1    Peters, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.