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Volumn 30, Issue 4, 2014, Pages

Analytical characterization and numerical approximation of interior eigenvalues for impenetrable scatterers from far fields

Author keywords

impenetrable scatterers; inside outside duality; interior eigenvalues

Indexed keywords

ACOUSTIC WAVE SCATTERING; ALGORITHMS;

EID: 84897436391     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/30/4/045006     Document Type: Article
Times cited : (13)

References (16)
  • 1
    • 77949491426 scopus 로고    scopus 로고
    • On the determination of Dirichlet and transmission eigenvalues from far field data
    • 10.1016/j.crma.2010.02.003 1631-073X I
    • Cakoni F, Colton D and Haddar H 2010 On the determination of Dirichlet and transmission eigenvalues from far field data C. R. Math. Acad. Sci., Paris I 348 379-83
    • (2010) C. R. Math. Acad. Sci., Paris , vol.348 , pp. 379-383
    • Cakoni, F.1    Colton, D.2    Haddar, H.3
  • 2
    • 33947388035 scopus 로고    scopus 로고
    • On the use of transmission eigenvalues to estimate the index of refraction from far field data
    • DOI 10.1088/0266-5611/23/2/004, PII S0266561107370184, 004
    • Cakoni F, Colton D and Monk P 2007 On the use of transmission eigenvalues to estimate the index of refraction from far field data Inverse Problems 23 507-22 (Pubitemid 46453820)
    • (2007) Inverse Problems , vol.23 , Issue.2 , pp. 507-522
    • Cakoni, F.1    Colton, D.2    Monk, P.3
  • 4
    • 21844519224 scopus 로고
    • Eigenvalues of the far field operator and inverse scattering theory
    • 10.1137/S0036141093249468 0036-1410
    • 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
    • 0024926288 scopus 로고
    • New method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium
    • Colton D and Monk P 1989 A new method for solving the inverse scattering problem for acoustic waves in an inhomogeneous medium Inverse Problems 5 1013-26 (Pubitemid 20659727)
    • (1989) Inverse Problems , vol.5 , Issue.6 , pp. 1013-1026
    • Colton David1    Monk Peter2
  • 7
    • 21844498403 scopus 로고
    • Spectral duality for planar billiards
    • 10.1007/BF02108330 0010-3616
    • Eckmann J-P and Pillet C-A 1995 Spectral duality for planar billiards Commun. Math. Phys. 170 283-313
    • (1995) Commun. Math. Phys. , vol.170 , pp. 283-313
    • Eckmann, J.-P.1    Pillet, C.-A.2
  • 8
    • 0038427112 scopus 로고    scopus 로고
    • Zeta functions with Dirichlet and Neumann boundary conditions for exterior problems
    • 0018-0238
    • Eckmann J-P and Pillet C-A 1997 Zeta functions with Dirichlet and Neumann boundary conditions for exterior problems Helv. Phys. Acta 70 44-65
    • (1997) Helv. Phys. Acta , vol.70 , pp. 44-65
    • Eckmann, J.-P.1    Pillet, C.-A.2
  • 9
    • 79961223540 scopus 로고    scopus 로고
    • Inverse obstacle scattering problems with a single incident wave and the logarithmic differential of the indicator function in the enclosure method
    • 10.1088/0266-5611/27/8/085006 0266-5611 085006
    • Ikehata M 2011 Inverse obstacle scattering problems with a single incident wave and the logarithmic differential of the indicator function in the enclosure method Inverse Problems 27 085006
    • (2011) Inverse Problems , vol.27 , Issue.8
    • Ikehata, M.1
  • 12
    • 84884626709 scopus 로고    scopus 로고
    • The inside-outside duality for scattering problems by inhomogeneous media
    • 10.1088/0266-5611/29/10/104011 0266-5611 104011
    • 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
  • 13
    • 70350275150 scopus 로고    scopus 로고
    • The factorization method is independent of transmission eigenvalues
    • 10.3934/ipi.2009.3.123
    • Lechleiter A 2009 The factorization method is independent of transmission eigenvalues Inverse Problems Imaging 3 123-38
    • (2009) Inverse Problems Imaging , vol.3 , pp. 123-138
    • Lechleiter, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.