메뉴 건너뛰기




Volumn 20, Issue 6, 2004, Pages

Fast three-dimensional electromagnetic nonlinear inversion in layered media with a novel scattering approximation

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELECTROMAGNETIC WAVE SCATTERING; IMAGING TECHNIQUES; MATHEMATICAL MODELS; MULTILAYERS; PROBLEM SOLVING; SURFACE STRUCTURE; TENSORS;

EID: 10844239002     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/20/6/S11     Document Type: Article
Times cited : (35)

References (55)
  • 1
    • 0043068307 scopus 로고    scopus 로고
    • Towards non-linear inversion for characterization of time-lapse phenomena through numerical modeling
    • Abubakar A, van den Berg P M and Fokkema J T 2003 Towards non-linear inversion for characterization of time-lapse phenomena through numerical modeling Geophys. Prospect. 51 285-93
    • (2003) Geophys. Prospect. , vol.51 , pp. 285-293
    • Abubakar, A.1    Van Den Berg, P.M.2    Fokkema, J.T.3
  • 2
    • 0000889322 scopus 로고
    • Fermat's principle and nonlinear traveltime tomography
    • Berryman J G 1989 Fermat's principle and nonlinear traveltime tomography Phys. Rev. Lett. 62 2953-6
    • (1989) Phys. Rev. Lett. , vol.62 , pp. 2953-2956
    • Berryman, J.G.1
  • 4
    • 0008689844 scopus 로고    scopus 로고
    • Experimental verification of super resolution in nonlinear inverse scattering
    • Chen F C and Chew W C 1998 Experimental verification of super resolution in nonlinear inverse scattering Appl. Phys. Lett. 72 3080-2
    • (1998) Appl. Phys. Lett. , vol.72 , pp. 3080-3082
    • Chen, F.C.1    Chew, W.C.2
  • 5
    • 0033311260 scopus 로고    scopus 로고
    • Fast algorithm for electromagnetic scattering by buried 3D dielectric objects of large size
    • Cui T J and Chew W C 1999 Fast algorithm for electromagnetic scattering by buried 3D dielectric objects of large size IEEE Trans. Geosci. Remote Sensing 37 2597-608
    • (1999) IEEE Trans. Geosci. Remote Sensing , vol.37 , pp. 2597-2608
    • Cui, T.J.1    Chew, W.C.2
  • 6
    • 0034225139 scopus 로고    scopus 로고
    • Novel diffraction tomography algorithm for imaging two-dimensional targets buried under a lossy earth
    • Cui T J and Chew W C 2000 Novel diffraction tomography algorithm for imaging two-dimensional targets buried under a lossy earth IEEE Trans. Geosci. Remote Sensing 38 2033-41
    • (2000) IEEE Trans. Geosci. Remote Sensing , vol.38 , pp. 2033-2041
    • Cui, T.J.1    Chew, W.C.2
  • 7
    • 0035248315 scopus 로고    scopus 로고
    • Inverse scattering of two-dimensional dielectric objects buried in a lossy earth using the distorted Born iterative method
    • Cui T J, Chew W C, Alaeddin A A and Chen S 2001 Inverse scattering of two-dimensional dielectric objects buried in a lossy earth using the distorted Born iterative method IEEE Trans. Geosci. Remote Sensing 39 339-46
    • (2001) IEEE Trans. Geosci. Remote Sensing , vol.39 , pp. 339-346
    • Cui, T.J.1    Chew, W.C.2    Alaeddin, A.A.3    Chen, S.4
  • 9
    • 2442534899 scopus 로고    scopus 로고
    • New approximate formulations for EM scattering by dielectric objects
    • Cui T J, Chew W C and W Hong 2004 New approximate formulations for EM scattering by dielectric objects IEEE Trans. Antennas Propag. 52 684-92
    • (2004) IEEE Trans. Antennas Propag. , vol.52 , pp. 684-692
    • Cui, T.J.1    Chew, W.C.2    Hong, W.3
  • 10
    • 0033224960 scopus 로고    scopus 로고
    • On the extended-Born technique for scattering from buried dielectric targets
    • Dasgupta N, Geng N, Dogaru T and Carin L 1999 On the extended-Born technique for scattering from buried dielectric targets IEEE Trans. Antennas Propag. 47 1739-42
    • (1999) IEEE Trans. Antennas Propag. , vol.47 , pp. 1739-1742
    • Dasgupta, N.1    Geng, N.2    Dogaru, T.3    Carin, L.4
  • 11
    • 0038002858 scopus 로고    scopus 로고
    • Multifrequency subsurface sensing in the presence of a moderately rough air-soil interface via quasi-ray Gaussian beams
    • Art. No. 8007
    • Galdi V, Feng H, Castanon D A, Karl W C and Felsen L B 2003 Multifrequency subsurface sensing in the presence of a moderately rough air-soil interface via quasi-ray Gaussian beams Radio Sci. 38 Art. No. 8007
    • (2003) Radio Sci. , vol.38
    • Galdi, V.1    Feng, H.2    Castanon, D.A.3    Karl, W.C.4    Felsen, L.B.5
  • 12
  • 13
    • 0027528179 scopus 로고
    • Beyond the Born and Rytov approximations. A nonlinear approach to electromagnetic scattering
    • Habashy T M, Gross R W and Spies B R 1993 Beyond the Born and Rytov approximations. A nonlinear approach to electromagnetic scattering J. Geophys. Res. 98 1759-75
    • (1993) J. Geophys. Res. , vol.98 , pp. 1759-1775
    • Habashy, T.M.1    Gross, R.W.2    Spies, B.R.3
  • 14
    • 0001273835 scopus 로고
    • Regularization methods for large scale problems
    • Hanke M and Hansen PC 1993 Regularization methods for large scale problems Surv. Math. Ind. 3 253-315
    • (1993) Surv. Math. Ind. , vol.3 , pp. 253-315
    • Hanke, M.1    Hansen, P.C.2
  • 15
    • 0033888113 scopus 로고    scopus 로고
    • Inverse scheme for ground penetrating radar that takes into account the planar air-soil interface
    • Hansen T B and Johansen P M 2000 Inverse scheme for ground penetrating radar that takes into account the planar air-soil interface IEEE Trans. Geosci. Remote Sensing 38 496-506
    • (2000) IEEE Trans. Geosci. Remote Sensing , vol.38 , pp. 496-506
    • Hansen, T.B.1    Johansen, P.M.2
  • 17
    • 0000135303 scopus 로고
    • Methods of conjugate gradients for solving linear systems
    • Hestenes M and Stiefel E 1952 Methods of conjugate gradients for solving linear systems J. Res. NBS 49 409-36
    • (1952) J. Res. NBS , vol.49 , pp. 409-436
    • Hestenes, M.1    Stiefel, E.2
  • 18
    • 2442699180 scopus 로고    scopus 로고
    • Higher order hierarchical discretization scheme for surface integral equations for layered media
    • Jørgensen E, Kim O S, Meincke P and Breinbjerg O 2004 Higher order hierarchical discretization scheme for surface integral equations for layered media IEEE Geosci. Remote Sensing 42 764-72
    • (2004) IEEE Geosci. Remote Sensing , vol.42 , pp. 764-772
    • Jørgensen, E.1    Kim, O.S.2    Meincke, P.3    Breinbjerg, O.4
  • 20
    • 2442446548 scopus 로고    scopus 로고
    • Three-dimensional reconstruction of objects buried in layered media using Born and distorted Born iterative methods
    • Li F, Liu Q H and Song L-P 2004 Three-dimensional reconstruction of objects buried in layered media using Born and distorted Born iterative methods IEEE Geosci. Remote Sensing Lett. 1 107-11
    • (2004) IEEE Geosci. Remote Sensing Lett. , vol.1 , pp. 107-111
    • Li, F.1    Liu, Q.H.2    Song, L.-P.3
  • 22
    • 0035248547 scopus 로고    scopus 로고
    • The hybrid extended Born approximation and CG-FFT method for electromagnetic induction problems
    • Liu Q H, Zhang Z Q and Xu X M 2001 The hybrid extended Born approximation and CG-FFT method for electromagnetic induction problems IEEE Trans. Geosci. Remote Sensing 39 347-55
    • (2001) IEEE Trans. Geosci. Remote Sensing , vol.39 , pp. 347-355
    • Liu, Q.H.1    Zhang, Z.Q.2    Xu, X.M.3
  • 24
    • 0035696875 scopus 로고    scopus 로고
    • Linear GPR inversion for lossy soil and u planar air-soil interface
    • Meincke P 2001 Linear GPR inversion for lossy soil and u planar air-soil interface IEEE Trans. Geosci. Remote Sensing 39 2713-21
    • (2001) IEEE Trans. Geosci. Remote Sensing , vol.39 , pp. 2713-2721
    • Meincke, P.1
  • 26
    • 0031098726 scopus 로고    scopus 로고
    • Multilayered media Green's function in integral equation formulations
    • Michalski K A und Mosig J R 1997 Multilayered media Green's function in integral equation formulations IEEE Trans. Antennas Propag. 45 508-19
    • (1997) IEEE Trans. Antennas Propag. , vol.45 , pp. 508-519
    • Michalski, K.A.1    Mosig, J.R.2
  • 27
    • 0141526420 scopus 로고    scopus 로고
    • A fast volume integral equation solver for electromagnetic scattering from large inhomogeneous objects in planarly layered media
    • Millard X and Liu Q H 2003 A fast volume integral equation solver for electromagnetic scattering from large inhomogeneous objects in planarly layered media IEEE Trans. Antennas Propag. 51 2393-401
    • (2003) IEEE Trans. Antennas Propag. , vol.51 , pp. 2393-2401
    • Millard, X.1    Liu, Q.H.2
  • 28
    • 1442360987 scopus 로고    scopus 로고
    • Simulations of near-surface detection of objects in layered media by the BCGS-FFT method
    • Millard X and Liu Q H 2004 Simulations of near-surface detection of objects in layered media by the BCGS-FFT method IEEE Trans. Geosci. Remote Sensing 42 327-34
    • (2004) IEEE Trans. Geosci. Remote Sensing , vol.42 , pp. 327-334
    • Millard, X.1    Liu, Q.H.2
  • 29
    • 0029753116 scopus 로고    scopus 로고
    • Wavelet-based methods for the nonlinear inverse scattering problem using the extended Born approximation
    • Miller E L and Willsky A S 1996 Wavelet-based methods for the nonlinear inverse scattering problem using the extended Born approximation Radio Sci. 31 51-65
    • (1996) Radio Sci. , vol.31 , pp. 51-65
    • Miller, E.L.1    Willsky, A.S.2
  • 30
    • 0027556266 scopus 로고
    • Diffraction tomography imaging in a monostatic measurement geometry
    • Molyneux J E and Witten A 1993 Diffraction tomography imaging in a monostatic measurement geometry IEEE Trans. Geosci. Remote Sensing 31 507-11
    • (1993) IEEE Trans. Geosci. Remote Sensing , vol.31 , pp. 507-511
    • Molyneux, J.E.1    Witten, A.2
  • 31
    • 0039943513 scopus 로고
    • LSQR: An algorithm for sparse linear equations and sparse least squares
    • Paige C C and Saunders M A 1982 LSQR: an algorithm for sparse linear equations and sparse least squares ACM Trans. Math. Softw. 8 43-71
    • (1982) ACM Trans. Math. Softw. , vol.8 , pp. 43-71
    • Paige, C.C.1    Saunders, M.A.2
  • 32
    • 0032121241 scopus 로고    scopus 로고
    • Stabilizing the iterative solution to ultrasonic transmission tomography
    • Song L P and Zhang S Y 1998 Stabilizing the iterative solution to ultrasonic transmission tomography IEEE Trans. Ultrason. Ferrelect. Freq. Com. 45 1117-22
    • (1998) IEEE Trans. Ultrason. Ferrelect. Freq. Com. , vol.45 , pp. 1117-1122
    • Song, L.P.1    Zhang, S.Y.2
  • 33
    • 0035041519 scopus 로고    scopus 로고
    • Tomography of joint P-wave traveltime and polarization data: A simple approach for media with low to moderate velocity gradients
    • Song L P, Every A G and Wright C 2001 Tomography of joint P-wave traveltime and polarization data: a simple approach for media with low to moderate velocity gradients J. Acoust, Soc. Am. 109 1796-807
    • (2001) J. Acoust, Soc. Am. , vol.109 , pp. 1796-1807
    • Song, L.P.1    Every, A.G.2    Wright, C.3
  • 34
    • 10844257017 scopus 로고    scopus 로고
    • GPR landmine imaging: 2D seismic migration and 3D inverse scattering in layered media
    • accepted
    • Song L-P and Liu Q H 2003 GPR landmine imaging: 2D seismic migration and 3D inverse scattering in layered media Radio Sci. accepted
    • (2003) Radio Sci.
    • Song, L.-P.1    Liu, Q.H.2
  • 36
    • 0028466288 scopus 로고
    • Rapid 2.5-D forward modeling and inversion via a new nonlinear scattering approximation
    • Torres-Verdin C and Habashy T M 1994 Rapid 2.5-D forward modeling and inversion via a new nonlinear scattering approximation Radio Sci. 29 1051-79
    • (1994) Radio Sci. , vol.29 , pp. 1051-1079
    • Torres-Verdin, C.1    Habashy, T.M.2
  • 37
    • 0029292638 scopus 로고
    • A two-step linear inversion of two-dimensional electrical conductivity
    • Torres-Verdin C and Habashy T M 1995 A two-step linear inversion of two-dimensional electrical conductivity IEEE Trans. Antennas Propag. 43 405-15
    • (1995) IEEE Trans. Antennas Propag. , vol.43 , pp. 405-415
    • Torres-Verdin, C.1    Habashy, T.M.2
  • 38
    • 0035520885 scopus 로고    scopus 로고
    • Rapid numerical simulation of axisymmetric single-well induction data using the extended Born approximation
    • Torres-Verdin C and Habashy T M 2001 Rapid numerical simulation of axisymmetric single-well induction data using the extended Born approximation Radio Sci. 36 1287-306
    • (2001) Radio Sci. , vol.36 , pp. 1287-1306
    • Torres-Verdin, C.1    Habashy, T.M.2
  • 39
    • 84995270569 scopus 로고    scopus 로고
    • 3D interpretation of electromagnetic data using a modified extended Born approximation
    • Tseng H W, Lee K H and Becker A 2003 3D interpretation of electromagnetic data using a modified extended Born approximation Geophysics 68 127-37
    • (2003) Geophysics , vol.68 , pp. 127-137
    • Tseng, H.W.1    Lee, K.H.2    Becker, A.3
  • 41
    • 0013035002 scopus 로고    scopus 로고
    • Multiplicative regularization for contrast profile inversion
    • Art. No. 8022
    • van den Berg P M, Abubakar A and Fokkema J T 2003 Multiplicative regularization for contrast profile inversion Radio Sci. 38 Art. No. 8022
    • (2003) Radio Sci. , vol.38
    • Van Den Berg, P.M.1    Abubakar, A.2    Fokkema, J.T.3
  • 42
    • 0000005482 scopus 로고
    • Bi-CGSTAB: A fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems
    • van der Vorst H 1992 Bi-CGSTAB: a fast and smoothly converging variant of Bi-CG for the solution of nonsymmetric linear systems SI AM J. Sci. Stat. Comput. 13 631-44
    • (1992) SI AM J. Sci. Stat. Comput. , vol.13 , pp. 631-644
    • Van Der Vorst, H.1
  • 43
    • 0031214180 scopus 로고    scopus 로고
    • Inverse scattering from arbitrary two-dimensional objects in stratified environments via a Green's operator
    • Wiskin J W, Borup D T and Johnson SA 1997 Inverse scattering from arbitrary two-dimensional objects in stratified environments via a Green's operator J. Acoust. Soc. Am. 102 853-64
    • (1997) J. Acoust. Soc. Am. , vol.102 , pp. 853-864
    • Wiskin, J.W.1    Borup, D.T.2    Johnson, S.A.3
  • 45
    • 0141689166 scopus 로고    scopus 로고
    • The BCGS-FFT method for electromagnetic scattering from inhomogeneous object in a planarly layered medium
    • Xu X M and Liu Q H 2002 The BCGS-FFT method for electromagnetic scattering from inhomogeneous object in a planarly layered medium IEEE Antennas Wireless Propag. Lett. 1 77-80
    • (2002) IEEE Antennas Wireless Propag. Lett. , vol.1 , pp. 77-80
    • Xu, X.M.1    Liu, Q.H.2
  • 46
    • 0000874790 scopus 로고    scopus 로고
    • Reconstruction of axisymmetric media with an FFHT-enhanced extended Born approximation
    • Zhang Z Q and Liu Q H 2000 Reconstruction of axisymmetric media with an FFHT-enhanced extended Born approximation Inverse Problems 16 1281-95
    • (2000) Inverse Problems , vol.16 , pp. 1281-1295
    • Zhang, Z.Q.1    Liu, Q.H.2
  • 47
    • 0035363125 scopus 로고    scopus 로고
    • Two nonlinear inverse methods for electromagnetic induction measurements
    • Zhang Z Q and Liu Q H 2001 Two nonlinear inverse methods for electromagnetic induction measurements IEEE Trans. Ceosci. Remote Sensing 39 1331-9
    • (2001) IEEE Trans. Ceosci. Remote Sensing , vol.39 , pp. 1331-1339
    • Zhang, Z.Q.1    Liu, Q.H.2
  • 48
    • 0035305262 scopus 로고    scopus 로고
    • The hybrid extended Born approximation and CG-FFHT method for axisymmetric media
    • Zhang Z Q and Liu Q H 2001 The hybrid extended Born approximation and CG-FFHT method for axisymmetric media IEEE Trans. Ceosci. Remote Sensing 39 710-7
    • (2001) IEEE Trans. Ceosci. Remote Sensing , vol.39 , pp. 710-717
    • Zhang, Z.Q.1    Liu, Q.H.2
  • 50
    • 0030192913 scopus 로고    scopus 로고
    • Three-dimensional quasi-linear electromagnetic inversion
    • Zhdanov M S and Fang S 1996 Three-dimensional quasi-linear electromagnetic inversion Radio Sci. 31 741-54
    • (1996) Radio Sci. , vol.31 , pp. 741-754
    • Zhdanov, M.S.1    Fang, S.2
  • 51
    • 0030135968 scopus 로고    scopus 로고
    • Quasi-linear approximation in 3-D electromagnetic modeling
    • Zhdanov M S and Fang S 1996 Quasi-linear approximation in 3-D electromagnetic modeling Geophysics 61 646-65
    • (1996) Geophysics , vol.61 , pp. 646-665
    • Zhdanov, M.S.1    Fang, S.2
  • 52
    • 0031268134 scopus 로고    scopus 로고
    • Quasi-linear series in three-dimensional electromagnetic modeling
    • Zhdanov M S and Fang S 1997 Quasi-linear series in three-dimensional electromagnetic modeling Radio Sci. 322167-88
    • (1997) Radio Sci. , pp. 322167-322188
    • Zhdanov, M.S.1    Fang, S.2
  • 53
    • 0034469433 scopus 로고    scopus 로고
    • Quasi-analytical approximation and series in electromagnetic modeling
    • Zhdanov M S, Dmitriev V I, Fang S and Hursan G 2000 Quasi-analytical approximation and series in electromagnetic modeling Geophysics 65 1746-57
    • (2000) Geophysics , vol.65 , pp. 1746-1757
    • Zhdanov, M.S.1    Dmitriev, V.I.2    Fang, S.3    Hursan, G.4
  • 54
    • 0037917351 scopus 로고    scopus 로고
    • 3D electromagnetic version based on quasi-analytical approximation
    • Zhdanov M and Hursan G 2000 3D electromagnetic version based on quasi-analytical approximation Inverse Problems 16 1565-71
    • (2000) Inverse Problems , vol.16 , pp. 1565-1571
    • Zhdanov, M.1    Hursan, G.2
  • 55
    • 0026928381 scopus 로고
    • The three-dimensional weak-form of the conjugate gradient FFT method for solving scattering problems
    • Zwamborn A P M and van den Berg P M 1992 The three-dimensional weak-form of the conjugate gradient FFT method for solving scattering problems IEEE Trans. Microwave Theory Tech. 40 1757-66
    • (1992) IEEE Trans. Microwave Theory Tech. , vol.40 , pp. 1757-1766
    • Zwamborn, A.P.M.1    Van Den Berg, P.M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.