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Volumn 28, Issue 7, 2012, Pages

On the multi-frequency inverse source problem in heterogeneous media

Author keywords

[No Author keywords available]

Indexed keywords

ACCUMULATION POINTS; HETEROGENEOUS MEDIA; INVERSE SOURCE PROBLEM; MINIMUM NORM SOLUTIONS; MULTI FREQUENCY; NUMERICAL EXAMPLE; RADIATED WAVES; SUBSPACE PROJECTION METHODS;

EID: 84863812534     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/28/7/075013     Document Type: Article
Times cited : (56)

References (47)
  • 2
    • 0026241796 scopus 로고
    • Antenna control and optimization using generalized characteristic modes
    • 10.1109/5.104230 0018-9219
    • Angell T, Kirsch A and Kleinman R 1991 Antenna control and optimization using generalized characteristic modes Proc. IEEE 79 1559-68
    • (1991) Proc. IEEE , vol.79 , Issue.10 , pp. 1559-1568
    • Angell, T.1    Kirsch, A.2    Kleinman, R.3
  • 3
    • 67349277249 scopus 로고    scopus 로고
    • Sources recovery from boundary data: A model related to electroencephalography
    • 10.1016/j.mcm.2008.07.016 0895-7177
    • Babda A, Hassen F, Leblond J and Mahjoub M 2009 Sources recovery from boundary data: a model related to electroencephalography Math. Comput. Modelling 49 2213-23
    • (2009) Math. Comput. Modelling , vol.49 , Issue.11-12 , pp. 2213-2223
    • Babda, A.1    Hassen, F.2    Leblond, J.3    Mahjoub, M.4
  • 4
    • 70350289664 scopus 로고    scopus 로고
    • Iterative and range test methods for an inverse source problem for acoustic waves
    • Alves C, Kress R and Serranho P 2009 Iterative and range test methods for an inverse source problem for acoustic waves Inverse Problems 25 1-17
    • (2009) Inverse Problems , vol.25 , pp. 1-17
    • Alves, C.1    Kress, R.2    Serranho, P.3
  • 5
    • 0002712804 scopus 로고    scopus 로고
    • Identification of dipole sources in a bounded domain for Maxwell's equations
    • PII S0165212597000632
    • He S and Romanov V 1998 Identification of dipole sources in a bounded domain for Maxwells equations Wave Motion 28 25-40 (Pubitemid 128352392)
    • (1998) Wave Motion , vol.28 , Issue.1 , pp. 25-40
    • He, S.1    Romanov, V.G.2
  • 6
    • 0036553053 scopus 로고    scopus 로고
    • Inverse source problem for Maxwells equation in magnetoencephalography
    • 10.1137/S0036139900373927 0036-1399
    • Ammari H, Bao G and Fleming J 2002 Inverse source problem for Maxwells equation in magnetoencephalography SIAM J. Appl. Math. 62 1369-82
    • (2002) SIAM J. Appl. Math. , vol.62 , Issue.4 , pp. 1369-1382
    • Ammari, H.1    Bao, G.2    Fleming, J.3
  • 7
    • 33744537821 scopus 로고    scopus 로고
    • The inverse source problem for Maxwell's equations
    • DOI 10.1088/0266-5611/22/3/018, PII S0266561106147802
    • Albanese R and Monk P 2006 The inverse source problem for Maxwells equations Inverse Problems 22 1023-35 (Pubitemid 43814743)
    • (2006) Inverse Problems , vol.22 , Issue.3 , pp. 1023-1035
    • Albanese, R.1    Monk, P.B.2
  • 8
    • 36749078796 scopus 로고    scopus 로고
    • Application of inverse source concepts to photoacoustic tomography
    • DOI 10.1088/0266-5611/23/6/S03, PII S0266561107457926
    • Anastasio M, Zhang J, Modgil D and La Riviere P 2007 Application of inverse source concepts to photoacoustic tomography Inverse Problems 23 S21-35 (Pubitemid 350212322)
    • (2007) Inverse Problems , vol.23 , Issue.6
    • Anastasio, M.A.1    Zhang, J.2    Modgil, D.3    La Riviere, P.J.4
  • 9
    • 70350647609 scopus 로고    scopus 로고
    • Thermoacoustic tomography with variable sound speed
    • 0266-5611 075011
    • Stefanov P and Uhlmann G 2009 Thermoacoustic tomography with variable sound speed Inverse Problems 25 075011
    • (2009) Inverse Problems , vol.25 , Issue.7
    • Stefanov, P.1    Uhlmann, G.2
  • 10
    • 79953654399 scopus 로고    scopus 로고
    • Thermoacoustic tomography arising in brain imaging
    • 0266-5611 045004
    • Stefanov P and Uhlmann G 2011 Thermoacoustic tomography arising in brain imaging Inverse Problems 27 045004
    • (2011) Inverse Problems , vol.27 , Issue.4
    • Stefanov, P.1    Uhlmann, G.2
  • 11
    • 0032638277 scopus 로고    scopus 로고
    • Optical tomography in medical imaging
    • 0266-5611 022
    • Arridge S 1999 Optical tomography in medical imaging Inverse Problems 15 R41-93
    • (1999) Inverse Problems , vol.15 , Issue.2
    • Arridge, S.1
  • 17
    • 0003668025 scopus 로고
    • Isakov V 1990 Inverse Source Problems (Mathematical Surveys and Monographs vol 34) (Providence, RI: American Mathematical Society)
    • (1990) Inverse Source Problems
    • Isakov, V.1
  • 18
    • 18744390809 scopus 로고    scopus 로고
    • On uniqueness and non-uniqueness for current reconstruction from magnetic fields
    • DOI 10.1088/0266-5611/21/3/010, PII S0266561105906576
    • Hauer K, Kuhn L and Potthast R 2005 On uniqueness and non-uniqueness for current reconstruction from magnetic fields Inverse Problems 21 955-67 (Pubitemid 40666662)
    • (2005) Inverse Problems , vol.21 , Issue.3 , pp. 955-967
    • Hauer, K.-H.1    Kuhn, L.2    Potthast, R.3
  • 19
    • 17444411151 scopus 로고    scopus 로고
    • On the non-uniqueness of the inverse MEG problem
    • DOI 10.1088/0266-5611/21/2/L01
    • Dassios G, Fokas A and Kariotou F 2005 On the non-uniqueness of the inverse MEG problem Inverse Problems 21 L1-5 (Pubitemid 40540971)
    • (2005) Inverse Problems , vol.21 , Issue.2
    • Dassios, G.1    Fokas, A.S.2    Kariotou, F.3
  • 20
    • 36749117056 scopus 로고
    • Nonuniqueness in the inverse source problem in acoustics and electromagnetics
    • 10.1063/1.523256 0022-2488
    • Bleistein N and Cohen J 1977 Nonuniqueness in the inverse source problem in acoustics and electromagnetics J. Math. Phys. 18 194-201
    • (1977) J. Math. Phys. , vol.18 , Issue.2 , pp. 194-201
    • Bleistein, N.1    Cohen, J.2
  • 21
    • 0033627591 scopus 로고    scopus 로고
    • Inverse source problem and minimum-energy sources
    • 10.1364/JOSAA.17.000034 1084-7529 A
    • Marengo E, Devaney A and Ziolkowski R 2000 Inverse source problem and minimum-energy sources J. Opt. Soc. Am. A 17 34-45
    • (2000) J. Opt. Soc. Am. , vol.17 , Issue.1 , pp. 34-45
    • Marengo, E.1    Devaney, A.2    Ziolkowski, R.3
  • 22
    • 0000556609 scopus 로고    scopus 로고
    • An inverse source problem in potential analysis
    • 10.1088/0266-5611/16/3/308 0266-5611
    • Badia A El and Ha-Duong T 2000 An inverse source problem in potential analysis Inverse Problems 16 651-63
    • (2000) Inverse Problems , vol.16 , Issue.3 , pp. 651-663
    • Badia, A.E.1    Ha-Duong, T.2
  • 23
    • 70450193186 scopus 로고    scopus 로고
    • Acoustic source identification using multiple frequency information
    • 10.1088/0266-5611/25/11/115005 0266-5611 115005
    • Eller M and Valdivia N 2009 Acoustic source identification using multiple frequency information Inverse Problems 25 115005
    • (2009) Inverse Problems , vol.25 , Issue.11
    • Eller, M.1    Valdivia, N.2
  • 24
    • 78049297003 scopus 로고    scopus 로고
    • A multi-frequency inverse source problem
    • 10.1016/j.jde.2010.08.013 0022-0396
    • Bao G, Lin J and Triki F 2010 A multi-frequency inverse source problem J. Differ. Eqns 249 3443-65
    • (2010) J. Differ. Eqns , vol.249 , Issue.12 , pp. 3443-3465
    • Bao, G.1    Lin, J.2    Triki, F.3
  • 25
    • 78650800558 scopus 로고    scopus 로고
    • Full identification of acoustic sources with multiple frequencies and boundary measurements
    • 10.3934/ipi.2009.3.275 1930-8337
    • Alves C, Martins N and Roberty N 2009 Full identification of acoustic sources with multiple frequencies and boundary measurements Inverse Problems Imaging 3 275-94
    • (2009) Inverse Problems Imaging , vol.3 , Issue.2 , pp. 275-294
    • Alves, C.1    Martins, N.2    Roberty, N.3
  • 26
    • 49749143014 scopus 로고    scopus 로고
    • Locating radiating sources for Maxwells equations using the approximate inverse
    • 0266-5611 045020
    • Lakhal A and Louis A K 2008 Locating radiating sources for Maxwells equations using the approximate inverse Inverse Problems 24 045020
    • (2008) Inverse Problems , vol.24 , Issue.4
    • Lakhal, A.1    Louis, A.K.2
  • 27
    • 35349031125 scopus 로고    scopus 로고
    • Inverse source problem in nonhomogeneous background media
    • DOI 10.1137/060658618
    • Devaney A, Marengo E and Li M 2007 Inverse source problem in inhomogeneous background media SIAM J. Appl. Math. 67 1353-78 (Pubitemid 47613210)
    • (2007) SIAM Journal on Applied Mathematics , vol.67 , Issue.5 , pp. 1353-1378
    • Devaney, A.J.1    Marengq, E.A.2    Li, M.3
  • 28
    • 58149388324 scopus 로고    scopus 로고
    • Monkey brain cortex imaging by photoacoustic tomography
    • 10.1117/1.2967907 1083-3668 044009
    • Yang X and Wang L 2008 Monkey brain cortex imaging by photoacoustic tomography J. Biomed. Opt. 13 044009
    • (2008) J. Biomed. Opt. , vol.13 , Issue.4
    • Yang, X.1    Wang, L.2
  • 30
    • 80052174166 scopus 로고    scopus 로고
    • An inverse source problem with multiple frequency data
    • 10.1016/j.crma.2011.07.009 1631-073X I
    • Bao G, Lin J and Triki F 2011 An inverse source problem with multiple frequency data C. R. Acad. Sci., Paris I 349 855-9
    • (2011) C. R. Acad. Sci., Paris , vol.349 , Issue.15-16 , pp. 855-859
    • Bao, G.1    Lin, J.2    Triki, F.3
  • 31
    • 84875898230 scopus 로고    scopus 로고
    • Recovery of a source term or a speed with one measurement and applications
    • Stefanov P and Uhlmann G 2012 Recovery of a source term or a speed with one measurement and applications Trans. Am. Math. Soc. at press
    • (2012) Trans. Am. Math. Soc.
    • Stefanov, P.1    Uhlmann, G.2
  • 32
    • 0000099584 scopus 로고    scopus 로고
    • On the Radiating and Nonradiating Components of Scalar, Electromagnetic, and Weak Gravitational Sources
    • Marengo E and Ziolkowski R 1999 On the radiating and nonradiating components of scalar, electromagnetic and weak gravitational sources Phys. Rev. Lett. 83 3345-9 (Pubitemid 129598278)
    • (1999) Physical Review Letters , vol.83 , Issue.17 , pp. 3345-3349
    • Marengo, E.A.1    Ziolkowski, R.W.2
  • 33
    • 42749103836 scopus 로고    scopus 로고
    • Nonradiating sources with connections to the adjoint problem
    • 10.1103/PhysRevE.70.037601 1539-3755 E 037601
    • Marengo E and Devaney A 2004 Nonradiating sources with connections to the adjoint problem Phys. Rev. E 70 037601
    • (2004) Phys. Rev. , vol.70 , Issue.3
    • Marengo, E.1    Devaney, A.2
  • 41
    • 0003449635 scopus 로고    scopus 로고
    • 10.1007/978-1-4612-0559-3 0066-5452
    • Kress R 1999 Linear Integral Equations (Applied Mathematical Sciences vol 82) 2nd edn (New York: Springer)
    • (1999) Linear Integral Equations , vol.82
    • Kress, R.1
  • 44
    • 84980167365 scopus 로고
    • On the scattering frequencies of the Laplace operator for exterior domains
    • 10.1002/cpa.3160250108 0010-3640
    • Lax P D and Phillips R S 1972 On the scattering frequencies of the Laplace operator for exterior domains Commun. Pure Appl. Math. 25 85-101
    • (1972) Commun. Pure Appl. Math. , vol.25 , Issue.1 , pp. 85-101
    • Lax, P.D.1    Phillips, R.S.2
  • 47
    • 84857792202 scopus 로고    scopus 로고
    • Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon
    • 10.1016/j.acha.2011.07.004 1063-5203
    • Adcock B and Hansen A 2012 Stable reconstructions in Hilbert spaces and the resolution of the Gibbs phenomenon Appl. Comput. Harmon. Anal. 32 357-88
    • (2012) Appl. Comput. Harmon. Anal. , vol.32 , Issue.3 , pp. 357-388
    • Adcock, B.1    Hansen, A.2


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