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Volumn 36, Issue 2, 2010, Pages 185-199

Determining planar multiple sound-soft obstacles from scattered acoustic fields

Author keywords

Acoustic waves; Scattering; Shape reconstruction; Sound soft obstacles; Topological derivative

Indexed keywords

APRIORI; ASSOCIATED COSTS; INCIDENT WAVES; LOCAL UNIQUENESS; NUMERICAL PROCEDURES; NUMERICAL RESULTS; SHAPE RECONSTRUCTION; SOUND-SOFT OBSTACLES; TOPOLOGICAL DERIVATIVES;

EID: 77949264849     PISSN: 09249907     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10851-009-0182-x     Document Type: Article
Times cited : (20)

References (30)
  • 2
    • 34250327887 scopus 로고    scopus 로고
    • On source analysis by wave splitting with applications in inverse scattering of multiple obstacles
    • 1142.35533 2320234
    • F. Ben Hassen J. Liu R. Potthast 2007 On source analysis by wave splitting with applications in inverse scattering of multiple obstacles J. Comput. Math. 25 3 266 281 1142.35533 2320234
    • (2007) J. Comput. Math. , vol.25 , Issue.3 , pp. 266-281
    • Ben Hassen, F.1    Liu, J.2    Potthast, R.3
  • 3
    • 47049097350 scopus 로고    scopus 로고
    • Topological derivatives for shape reconstruction
    • Carpio, A., Rapun, M.L.: Topological Derivatives for Shape Reconstruction. Lect. Not. Mat., vol. 1943, pp. 85-131 (2008)
    • (2008) Lect. Not. Mat. , vol.1943 , pp. 85-131
    • Carpio, A.1    Rapun, M.L.2
  • 4
    • 49749113620 scopus 로고    scopus 로고
    • Solving inverse inhomogeneous problems by topological derivative methods
    • 10.1088/0266-5611/24/4/045014 2425881
    • A. Carpio M.L. Rapun 2008 Solving inverse inhomogeneous problems by topological derivative methods Inverse Probl. 24 045014 10.1088/0266-5611/24/4/ 045014 2425881
    • (2008) Inverse Probl.
    • Carpio, A.1    Rapun, M.L.2
  • 5
    • 47049119542 scopus 로고    scopus 로고
    • Domain reconstruction by thermal measurements
    • 1147.65072 10.1016/j.jcp.2008.05.014 2442445
    • A. Carpio M.L. Rapun 2008 Domain reconstruction by thermal measurements J. Comput. Phys. 227 17 8083 8106 1147.65072 10.1016/j.jcp.2008.05.014 2442445
    • (2008) J. Comput. Phys. , vol.227 , Issue.17 , pp. 8083-8106
    • Carpio, A.1    Rapun, M.L.2
  • 6
    • 77949272826 scopus 로고    scopus 로고
    • An iterative method for parameter identification and shape reconstruction
    • 05663114 10.1080/17415970903233622
    • A. Carpio M.L. Rapun 2010 An iterative method for parameter identification and shape reconstruction Inverse Probl. Sci. Eng. 18 35 50 05663114 10.1080/17415970903233622
    • (2010) Inverse Probl. Sci. Eng. , vol.18 , pp. 35-50
    • Carpio, A.1    Rapun, M.L.2
  • 7
    • 0034497173 scopus 로고    scopus 로고
    • Regularized sampling method for solving three-dimensional inverse scattering problems
    • DOI 10.1137/S1064827598340159
    • D. Colton K. Gieberman P. Monk 2000 A regularized sampling method for solving three dimensional inverse scattering problems SIAM J. Sci. Comput. 21 2316 2330 0961.35172 10.1137/S1064827598340159 1762044 (Pubitemid 32076070)
    • (2000) SIAM Journal of Scientific Computing , vol.21 , Issue.6 , pp. 2316-2330
    • Colton, D.1    Giebermann, K.2    Monk, P.3
  • 10
    • 0011052120 scopus 로고
    • Uniqueness theorems for the inverse problem of acoustic scattering
    • 0539.76086 10.1093/imamat/31.3.253 729385
    • D. Colton B.D. Sleeman 1983 Uniqueness theorems for the inverse problem of acoustic scattering IMA J. Appl. Math. 31 253 259 0539.76086 10.1093/imamat/31.3.253 729385
    • (1983) IMA J. Appl. Math. , vol.31 , pp. 253-259
    • Colton, D.1    Sleeman, B.D.2
  • 11
    • 10844274795 scopus 로고    scopus 로고
    • A new method in inverse scattering based on the topological derivative
    • DOI 10.1088/0266-5611/20/6/008, PII S0266561104805033
    • G.R. Feijoo 2004 A new method in inverse scattering based on the topological derivative Inverse Probl. 20 1819 1840 1077.78010 10.1088/0266-5611/20/6/008 2107239 (Pubitemid 40002905)
    • (2004) Inverse Problems , vol.20 , Issue.6 , pp. 1819-1840
    • Feijoo, G.R.1
  • 12
    • 1342308459 scopus 로고    scopus 로고
    • An application of shape optimization in the solution of inverse acoustic scattering problems
    • 1055.35138 10.1088/0266-5611/20/1/012 2044614
    • G.R. Feijoo A.A. Oberai P.M. Pinsky 2004 An application of shape optimization in the solution of inverse acoustic scattering problems Inverse Probl. 20 199 228 1055.35138 10.1088/0266-5611/20/1/012 2044614
    • (2004) Inverse Probl. , vol.20 , pp. 199-228
    • Feijoo, G.R.1    Oberai, A.A.2    Pinsky, P.M.3
  • 13
    • 23244434925 scopus 로고    scopus 로고
    • Local uniqueness for the inverse scattering problem in acoustics via the Faber-Krahn inequality
    • DOI 10.1088/0266-5611/21/4/001, PII S0266561105896625
    • D. Gintides 2005 Local uniqueness for the inverse scattering problem in acoustics via the Faber-Krahn inequality Inverse Probl. 21 1195 1205 1090.76065 10.1088/0266-5611/21/4/001 2158104 (Pubitemid 41090535)
    • (2005) Inverse Problems , vol.21 , Issue.4 , pp. 1195-1205
    • Gintides, D.1
  • 14
    • 33749026089 scopus 로고    scopus 로고
    • Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics
    • DOI 10.1088/0266-5611/22/5/014, PII S0266561106086576, 014
    • B.B. Guzina M. Bonnet 2006 Small-inclusion asymptotic of misfit functionals for inverse problems in acoustics Inverse Probl. 22 1761 1785 1105.76055 10.1088/0266-5611/22/5/014 2261265 (Pubitemid 44444676)
    • (2006) Inverse Problems , vol.22 , Issue.5 , pp. 1761-1785
    • Guzina, B.B.1    Bonnet, M.2
  • 15
    • 33845230843 scopus 로고    scopus 로고
    • From imaging to material identification: A generalized concept of topological sensitivity
    • DOI 10.1016/j.jmps.2006.07.009, PII S0022509606001293
    • B.B. Guzina I. Chikichev 2007 From imaging to material identification: A generalized concept of topological sensitivity J. Mech. Phys. Solids 55 245 279 05560695 10.1016/j.jmps.2006.07.009 2287643 (Pubitemid 44855784)
    • (2007) Journal of the Mechanics and Physics of Solids , vol.55 , Issue.2 , pp. 245-279
    • Guzina, B.B.1    Chikichev, I.2
  • 16
    • 77349110960 scopus 로고    scopus 로고
    • Nonlinear integral equations methods for the reconstruction of an acoustically sound-soft obstacle
    • 1135.65392 10.1216/jiea/1190905488 2363789
    • O. Ivanyshyn T. Johansson 2007 Nonlinear integral equations methods for the reconstruction of an acoustically sound-soft obstacle J. Integral Equ. Appl. 19 3 289 308 1135.65392 10.1216/jiea/1190905488 2363789
    • (2007) J. Integral Equ. Appl. , vol.19 , Issue.3 , pp. 289-308
    • Ivanyshyn, O.1    Johansson, T.2
  • 18
    • 0000271460 scopus 로고
    • Exact non-reflecting boundary conditions
    • 0671.65094 10.1016/0021-9991(89)90041-7 1005207
    • J.B. Keller D. Givoli 1989 Exact non-reflecting boundary conditions J. Comput. Phys. 82 172 192 0671.65094 10.1016/0021-9991(89)90041-7 1005207
    • (1989) J. Comput. Phys. , vol.82 , pp. 172-192
    • Keller, J.B.1    Givoli, D.2
  • 19
    • 36149033735 scopus 로고
    • The domain derivative and two applications in inverse scattering theory
    • 0773.35085 10.1088/0266-5611/9/1/005 1203018
    • A. Kirsch 1993 The domain derivative and two applications in inverse scattering theory Inverse Probl. 9 81 96 0773.35085 10.1088/0266-5611/9/1/005 1203018
    • (1993) Inverse Probl. , vol.9 , pp. 81-96
    • Kirsch, A.1
  • 20
    • 23244456330 scopus 로고    scopus 로고
    • Nonlinear integral equations and the iterative solution for an inverse boundary value problem
    • DOI 10.1088/0266-5611/21/4/002, PII S0266561105928736
    • R. Kress W. Rundell 2005 Nonlinear integral equations and the iterative solution for an inverse boundary value problem Inverse Probl. 21 1207 1223 1086.35139 10.1088/0266-5611/21/4/002 2158105 (Pubitemid 41090536)
    • (2005) Inverse Problems , vol.21 , Issue.4 , pp. 1207-1223
    • Kress, R.1    Rundell, W.2
  • 21
    • 20444376913 scopus 로고    scopus 로고
    • Multiple scattering by random configurations of circular cylinders: Second-order corrections for the effective wavenumber
    • DOI 10.1121/1.1904270
    • C.M. Linton P.A. Martin 2005 Multiple scattering by random configuration of circular cylinders: Second-order corrections for the effective wavenumber J. Acoust. Soc. Am. 117 3413 3423 10.1121/1.1904270 (Pubitemid 40807380)
    • (2005) Journal of the Acoustical Society of America , vol.117 , Issue.6 , pp. 3413-3423
    • Linton, C.M.1    Martin, P.A.2
  • 22
    • 0000386587 scopus 로고    scopus 로고
    • Reconstruction of a two dimensional binary obstacle by controlled evolution of a level set
    • 0912.35158 10.1088/0266-5611/14/3/018 1629944
    • A. Litman D. Lesselier F. Santosa 1998 Reconstruction of a two dimensional binary obstacle by controlled evolution of a level set Inverse Probl. 14 685 706 0912.35158 10.1088/0266-5611/14/3/018 1629944
    • (1998) Inverse Probl. , vol.14 , pp. 685-706
    • Litman, A.1    Lesselier, D.2    Santosa, F.3
  • 24
    • 33645279797 scopus 로고    scopus 로고
    • A survey on sampling and probe methods for inverse problems, Topical Review
    • 1094.35144 10.1088/0266-5611/22/2/R01 2216404
    • R. Potthast 2006 A survey on sampling and probe methods for inverse problems, Topical Review Inverse Probl. 22 R1 R47 1094.35144 10.1088/0266-5611/22/2/R01 2216404
    • (2006) Inverse Probl. , vol.22
    • Potthast, R.1
  • 25
    • 4944259639 scopus 로고    scopus 로고
    • The topological asymptotic for the Helmholtz equation
    • 1051.49029 10.1137/S0363012902406801 2046373
    • B. Samet S. Amstutz M. Masmoudi 2003 The topological asymptotic for the Helmholtz equation SIAM J. Control Optim. 42 1523 1544 1051.49029 10.1137/S0363012902406801 2046373
    • (2003) SIAM J. Control Optim. , vol.42 , pp. 1523-1544
    • Samet, B.1    Amstutz, S.2    Masmoudi, M.3
  • 26
    • 84996143735 scopus 로고    scopus 로고
    • A level set approach for inverse problems involving obstacles
    • 0870.49016 10.1051/cocv:1996101 1382514
    • F. Santosa 1996 A level set approach for inverse problems involving obstacles ESAIM Control Optim. Calc. Var. 1 17 33 0870.49016 10.1051/cocv:1996101 1382514
    • (1996) ESAIM Control Optim. Calc. Var. , vol.1 , pp. 17-33
    • Santosa, F.1
  • 28
    • 84945911523 scopus 로고
    • Multiple scattering of radiation by an arbitrary configuration of parallel cylinders
    • 10.1121/1.1906845
    • V. Twersky 1952 Multiple scattering of radiation by an arbitrary configuration of parallel cylinders J. Acoust. Soc. Am. 24 42 46 10.1121/1.1906845
    • (1952) J. Acoust. Soc. Am. , vol.24 , pp. 42-46
    • Twersky, V.1
  • 29
    • 36849135689 scopus 로고
    • Multiple scattering of radiation by an arbitrary planar configuration of parallel cylinders and by two parallel cylinders
    • 0046.41604 10.1063/1.1702220 46896
    • V. Twersky 1952 Multiple scattering of radiation by an arbitrary planar configuration of parallel cylinders and by two parallel cylinders J. Appl. Phys. 23 407 414 0046.41604 10.1063/1.1702220 46896
    • (1952) J. Appl. Phys. , vol.23 , pp. 407-414
    • Twersky, V.1
  • 30
    • 0016761706 scopus 로고
    • Multiple scattering by two cylinders
    • 10.1121/1.380792
    • J.W. Young J.C. Bertrand 1975 Multiple scattering by two cylinders J. Acoust. Soc. Am. 58 1190 1195 10.1121/1.380792
    • (1975) J. Acoust. Soc. Am. , vol.58 , pp. 1190-1195
    • Young, J.W.1    Bertrand, J.C.2


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