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Volumn 45, Issue 3, 2007, Pages 639-648

Effective solution of 3-D scattering problems via series expansions: Applicability and a new hybrid scheme

Author keywords

Contrast source extend Born model; Electric field integral equation; Electromagnetic scattering; Integral equations

Indexed keywords

DIELECTRIC MATERIALS; ELECTROMAGNETIC FIELDS; INTEGRAL EQUATIONS; ITERATIVE METHODS; PROBLEM SOLVING;

EID: 33847695735     PISSN: 01962892     EISSN: None     Source Type: Journal    
DOI: 10.1109/TGRS.2006.888144     Document Type: Article
Times cited : (18)

References (40)
  • 1
    • 28644435042 scopus 로고    scopus 로고
    • Fast analysis of electromagnetic scattering of 3-D dielectric bodies with augmented GMRES-FFT methods
    • Nov
    • P. L. Rui, R. S. Chen, Z. H. Fan, K. N. Yung, C. H. Chan, Z. Nie, and J. Hu, "Fast analysis of electromagnetic scattering of 3-D dielectric bodies with augmented GMRES-FFT methods," IEEE Trans. Antennas Propag., vol. 53, no. 11, pp. 3848-3852, Nov. 2005.
    • (2005) IEEE Trans. Antennas Propag , vol.53 , Issue.11 , pp. 3848-3852
    • Rui, P.L.1    Chen, R.S.2    Fan, Z.H.3    Yung, K.N.4    Chan, C.H.5    Nie, Z.6    Hu, J.7
  • 2
    • 1542426375 scopus 로고    scopus 로고
    • Iterative forward and inverse algorithms based on domain integral equations for three-dimensional electric and magnetic objects
    • Mar
    • A. Abubakar and P. M. van den Berg, "Iterative forward and inverse algorithms based on domain integral equations for three-dimensional electric and magnetic objects," J. Comput. Phys., vol. 195, no. 1, pp. 236-262, Mar. 2004.
    • (2004) J. Comput. Phys , vol.195 , Issue.1 , pp. 236-262
    • Abubakar, A.1    van den Berg, P.M.2
  • 3
    • 0026928381 scopus 로고
    • The three-dimensional weak form of the conjugate gradient FFT method for solving scattering problems
    • Sep
    • P. Zwamborn and P. M. van den Berg, "The three-dimensional weak form of the conjugate gradient FFT method for solving scattering problems," IEEE Trans. Microw. Theory Tech., vol. 40, no. 9, pp. 1757-1766, Sep. 1992.
    • (1992) IEEE Trans. Microw. Theory Tech , vol.40 , Issue.9 , pp. 1757-1766
    • Zwamborn, P.1    van den Berg, P.M.2
  • 4
    • 0035811113 scopus 로고    scopus 로고
    • Three dimensional weak-form conjugate and biconjugate-gradient FFT methods for volume integral equations
    • Jun
    • Z. Q. Zhang and Q. H. Liu, "Three dimensional weak-form conjugate and biconjugate-gradient FFT methods for volume integral equations," Microw. Opt. Technol. Lett., vol. 29, no. 5, pp. 350-356, Jun. 2001.
    • (2001) Microw. Opt. Technol. Lett , vol.29 , Issue.5 , pp. 350-356
    • Zhang, Z.Q.1    Liu, Q.H.2
  • 5
    • 0142155052 scopus 로고    scopus 로고
    • Analysis of electromagnetic scattering of three dimensional dielectric bodies by of Krylov-subspace FFT iterative methods
    • Nov
    • R. S. Chen et al., "Analysis of electromagnetic scattering of three dimensional dielectric bodies by of Krylov-subspace FFT iterative methods," Microw. Opt. Technol. Lett., vol. 39, no. 4, pp. 261-267, Nov. 2003.
    • (2003) Microw. Opt. Technol. Lett , vol.39 , Issue.4 , pp. 261-267
    • Chen, R.S.1
  • 6
    • 0016183072 scopus 로고
    • Electromagnetic fields induced inside arbitrary shaped biological bodies
    • Dec
    • D. E. Livesay and K. M. Chen, "Electromagnetic fields induced inside arbitrary shaped biological bodies," IEEE Trans. Microw. Theory Tech., vol. MTT-22, no. 12, pp. 1273-1280, Dec. 1974.
    • (1974) IEEE Trans. Microw. Theory Tech , vol.MTT-22 , Issue.12 , pp. 1273-1280
    • Livesay, D.E.1    Chen, K.M.2
  • 7
    • 0021644505 scopus 로고
    • Electromagnetic modelling of three-dimensional bodies in layered earths using integral equations
    • P. E. Wannamaker, G. W. Hohmann, and W. A. SanFilippo, "Electromagnetic modelling of three-dimensional bodies in layered earths using integral equations," Geophys. J. (USA), vol. 49, no. 6, pp. 60-74, 1984.
    • (1984) Geophys. J. (USA) , vol.49 , Issue.6 , pp. 60-74
    • Wannamaker, P.E.1    Hohmann, G.W.2    SanFilippo, W.A.3
  • 8
    • 0025398952 scopus 로고
    • Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media, Part I: Theory
    • Mar
    • K. A. Michalski and D. Zheng, "Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media, Part I: Theory," IEEE Trans. Antennas Propag., vol. 38, no. 3, pp. 345-352, Mar. 1990.
    • (1990) IEEE Trans. Antennas Propag , vol.38 , Issue.3 , pp. 345-352
    • Michalski, K.A.1    Zheng, D.2
  • 9
    • 0025401286 scopus 로고
    • Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media, Part II: Implementation and results for contiguous half space
    • Mar
    • _, "Electromagnetic scattering and radiation by surfaces of arbitrary shape in layered media, Part II: Implementation and results for contiguous half space," IEEE Trans. Antennas Propag., vol. 38, no. 3, pp. 335-344, Mar. 1990.
    • (1990) IEEE Trans. Antennas Propag , vol.38 , Issue.3 , pp. 335-344
    • Michalski, K.A.1    Zheng, D.2
  • 10
    • 0027038454 scopus 로고
    • Electromagnetic modelling of three dimensional structures by the method of system iterations using integral equations
    • Dec
    • Z. Xiong, "Electromagnetic modelling of three dimensional structures by the method of system iterations using integral equations," Geophysics, vol. 57, no. 12, pp. 1556-1561, Dec. 1992.
    • (1992) Geophysics , vol.57 , Issue.12 , pp. 1556-1561
    • Xiong, Z.1
  • 11
    • 33747928076 scopus 로고    scopus 로고
    • Electromagnetic scattering by multiple three-dimensional scatterers buried under multilayered media - Part I: Theory
    • Mar
    • T. J. Cui, W. Wiesbeck, and A. Herschlein, "Electromagnetic scattering by multiple three-dimensional scatterers buried under multilayered media - Part I: Theory," IEEE Trans. Ceosci. Remote Sens., vol. 36, no. 2, pp. 526-534, Mar. 1998.
    • (1998) IEEE Trans. Ceosci. Remote Sens , vol.36 , Issue.2 , pp. 526-534
    • Cui, T.J.1    Wiesbeck, W.2    Herschlein, A.3
  • 12
    • 0032025042 scopus 로고    scopus 로고
    • Electromagnetic scattering by multiple three-dimensional scatterers buried under multi-layered media - Part II: Numerical Implementation and results
    • Mar
    • _, "Electromagnetic scattering by multiple three-dimensional scatterers buried under multi-layered media - Part II: Numerical Implementation and results," IEEE Trans. Geosci. Remote Sens., vol. 36, no. 2, pp. 535-546, Mar. 1998.
    • (1998) IEEE Trans. Geosci. Remote Sens , vol.36 , Issue.2 , pp. 535-546
    • Cui, T.J.1    Wiesbeck, W.2    Herschlein, A.3
  • 14
    • 0025752194 scopus 로고
    • Iterative methods for solving integral equations
    • R. R. Kleinman and P. M. van den Berg, "Iterative methods for solving integral equations," Radio Sci., vol. 26, no. 1, pp. 175-181, 1991.
    • (1991) Radio Sci , vol.26 , Issue.1 , pp. 175-181
    • Kleinman, R.R.1    van den Berg, P.M.2
  • 16
    • 0001135947 scopus 로고    scopus 로고
    • A sparse approximate inverse preconditioner for nonsymetric linear systems
    • May
    • M. Benzi and M. Tuma, "A sparse approximate inverse preconditioner for nonsymetric linear systems," SIAM J. Sci. Stat. Comput., vol. 19, no. 3, pp. 968-994, May 1998.
    • (1998) SIAM J. Sci. Stat. Comput , vol.19 , Issue.3 , pp. 968-994
    • Benzi, M.1    Tuma, M.2
  • 17
    • 0004338948 scopus 로고    scopus 로고
    • A preconditioning strategy for boundary element Galerkin methods
    • May
    • W. McLean and T. Tran, "A preconditioning strategy for boundary element Galerkin methods," Numer. Methods Partial Differential Eq., vol. 13, no. 3, pp. 283-301, May 1997.
    • (1997) Numer. Methods Partial Differential Eq , vol.13 , Issue.3 , pp. 283-301
    • McLean, W.1    Tran, T.2
  • 18
    • 0038380607 scopus 로고    scopus 로고
    • A preconditioner for the electric field integral equation based on the Calderon formulas
    • S. Christiansen, "A preconditioner for the electric field integral equation based on the Calderon formulas," SIAM J. Numer. Anal., vol. 40, no. 3, pp. 1100-1135, 2002.
    • (2002) SIAM J. Numer. Anal , vol.40 , Issue.3 , pp. 1100-1135
    • Christiansen, S.1
  • 19
    • 23044509180 scopus 로고    scopus 로고
    • Preconditioners for adaptive integral methods implementation
    • Jul
    • W. B. Ewe et al., "Preconditioners for adaptive integral methods implementation," IEEE Trans. Antennas Propag., vol. 53, no. 7, pp. 2346-2350, Jul. 2005.
    • (2005) IEEE Trans. Antennas Propag , vol.53 , Issue.7 , pp. 2346-2350
    • Ewe, W.B.1
  • 20
    • 0034228755 scopus 로고    scopus 로고
    • Three-dimensional inverse scattering applied to cross-well induction sensors
    • Jul
    • A. Abubakar and P. M. van den Berg, "Three-dimensional inverse scattering applied to cross-well induction sensors," IEEE Trans Geosci. Remote Sens., vol. 38, no. 4, pp. 1669-1681, Jul. 2000.
    • (2000) IEEE Trans Geosci. Remote Sens , vol.38 , Issue.4 , pp. 1669-1681
    • Abubakar, A.1    van den Berg, P.M.2
  • 21
    • 0007211212 scopus 로고
    • New York: Springer-Verlag
    • M. Born, Optics. New York: Springer-Verlag, 1933.
    • (1933) Optics
    • Born, M.1
  • 22
    • 0027528179 scopus 로고
    • Beyond the Born and Rytov approximations: A non-linear approach to electromagnetic scattering
    • Feb
    • T. M. Habashy, R. Groom, and W. B. Spies, "Beyond the Born and Rytov approximations: A non-linear approach to electromagnetic scattering," J. Geophys. Res., vol. 98, no. B2, pp. 1759-1775, Feb. 1993.
    • (1993) J. Geophys. Res , vol.98 , Issue.B2 , pp. 1759-1775
    • Habashy, T.M.1    Groom, R.2    Spies, W.B.3
  • 23
    • 13444258723 scopus 로고    scopus 로고
    • A Green function formulation of the extended Born approximation for three dimensional electromagnetic modeling
    • A. Abubakar and T. Habashy, "A Green function formulation of the extended Born approximation for three dimensional electromagnetic modeling," Wave Motion, vol. 41, no. 3, pp. 211-227, 2005.
    • (2005) Wave Motion , vol.41 , Issue.3 , pp. 211-227
    • Abubakar, A.1    Habashy, T.2
  • 24
    • 0030135968 scopus 로고    scopus 로고
    • Quasilinear approximation in 3-D electromagnetic modeling
    • May/Jun
    • M. S. Zhdanov and S. Fang, "Quasilinear approximation in 3-D electromagnetic modeling," Geophysics, vol. 61, no. 3, pp. 646-665, May/Jun. 1996.
    • (1996) Geophysics , vol.61 , Issue.3 , pp. 646-665
    • Zhdanov, M.S.1    Fang, S.2
  • 25
    • 0034469433 scopus 로고    scopus 로고
    • Quasianalytical approximation and series in electromagnetic modeling
    • Nov./Dec
    • M. Zhdanov, V. I. Dimitriev, S. Fang, and G. Hursan, " Quasianalytical approximation and series in electromagnetic modeling," Geophysics, vol. 65, no. 6, pp. 1746-1757, Nov./Dec. 2000.
    • (2000) Geophysics , vol.65 , Issue.6 , pp. 1746-1757
    • Zhdanov, M.1    Dimitriev, V.I.2    Fang, S.3    Hursan, G.4
  • 26
    • 0028466288 scopus 로고
    • Rapid 2.5-dimensional forward modeling and inversion via a new nonlinear scattering approximation
    • Jul
    • C. Torres-Verdín and T. M. Habashy, "Rapid 2.5-dimensional forward modeling and inversion via a new nonlinear scattering approximation," Radio Sci., vol. 29, no. 4, pp. 1051-1079, Jul. 1994.
    • (1994) Radio Sci , vol.29 , Issue.4 , pp. 1051-1079
    • Torres-Verdín, C.1    Habashy, T.M.2
  • 27
    • 0029292638 scopus 로고
    • A two-step linear inversion of two-dimensional conductivity
    • Apr
    • _, "A two-step linear inversion of two-dimensional conductivity," IEEE Trans. Antennas Propag., vol. 43, no. 4, pp. 405-415, Apr. 1995.
    • (1995) IEEE Trans. Antennas Propag , vol.43 , Issue.4 , pp. 405-415
    • Torres-Verdín, C.1    Habashy, T.M.2
  • 28
    • 0030192913 scopus 로고    scopus 로고
    • Three-dimensional quasilinear electromagnetic inversion
    • M. S. Zhdanov and S. Fang, "Three-dimensional quasilinear electromagnetic inversion," Radio Sci., vol. 31, no. 4, pp. 741-754, 1996.
    • (1996) Radio Sci , vol.31 , Issue.4 , pp. 741-754
    • Zhdanov, M.S.1    Fang, S.2
  • 29
    • 0037917351 scopus 로고    scopus 로고
    • 3-D electromagnetic inversion based on quasianalytical approximation
    • Oct
    • M. Zhdanov and G. Hursan, "3-D electromagnetic inversion based on quasianalytical approximation,"Inv. Prob., vol. 16, no. 5, pp. 1565-1571, Oct. 2000.
    • (2000) Inv. Prob , vol.16 , Issue.5 , pp. 1565-1571
    • Zhdanov, M.1    Hursan, G.2
  • 30
    • 18844383713 scopus 로고    scopus 로고
    • A new approximation to three-dimensional electromagnetic scattering
    • Apr
    • L. P. Song and Q. H. Liu, "A new approximation to three-dimensional electromagnetic scattering," IEEE Geosci. Remote Sens. Lett., vol. 2, no. 2, pp. 238-241, Apr. 2005.
    • (2005) IEEE Geosci. Remote Sens. Lett , vol.2 , Issue.2 , pp. 238-241
    • Song, L.P.1    Liu, Q.H.2
  • 31
    • 2442534899 scopus 로고    scopus 로고
    • New approximate formulations for EM scattering by dielectric objects
    • Mar
    • T. J. Cui, W. C. Chew, and W. Hong, "New approximate formulations for EM scattering by dielectric objects," IEEE Trans. Antennas Propag., vol. 52, no. 3, pp. 684-692, Mar. 2004.
    • (2004) IEEE Trans. Antennas Propag , vol.52 , Issue.3 , pp. 684-692
    • Cui, T.J.1    Chew, W.C.2    Hong, W.3
  • 32
    • 33645704934 scopus 로고    scopus 로고
    • High-order generalized extended Born approximation for electromagnetic scattering
    • Apr
    • G. Gao and C. Torres-Verdin, "High-order generalized extended Born approximation for electromagnetic scattering," IEEE Trans. Antennas Propag., vol. 54, no. 4, pp. 1243-1256, Apr. 2006.
    • (2006) IEEE Trans. Antennas Propag , vol.54 , Issue.4 , pp. 1243-1256
    • Gao, G.1    Torres-Verdin, C.2
  • 33
    • 8344245356 scopus 로고    scopus 로고
    • New tools and series for forward and inverse scattering problems in lossy media
    • Oct
    • T. Isernia, L. Crocco, and M. D'Urso, "New tools and series for forward and inverse scattering problems in lossy media," IEEE Geosci. Remote Sens. Lett., vol. 1, no. 4, pp. 327-331, Oct. 2004.
    • (2004) IEEE Geosci. Remote Sens. Lett , vol.1 , Issue.4 , pp. 327-331
    • Isernia, T.1    Crocco, L.2    D'Urso, M.3
  • 34
    • 33746596206 scopus 로고    scopus 로고
    • A novel effective model for solving 3D nonlinear inverse scattering problems in lossy scenarios
    • Jul
    • I. Catapano, L. Crocco, M. D'Urso, and T. Isernia, "A novel effective model for solving 3D nonlinear inverse scattering problems in lossy scenarios," IEEE Geosci. Remote Sens. Lett., vol. 3, no. 3, pp. 302-306, Jul. 2006.
    • (2006) IEEE Geosci. Remote Sens. Lett , vol.3 , Issue.3 , pp. 302-306
    • Catapano, I.1    Crocco, L.2    D'Urso, M.3    Isernia, T.4
  • 36
    • 0001279746 scopus 로고    scopus 로고
    • Degree of non-linearity and a new solution procedure in scalar 2-D inverse scattering problems
    • Aug
    • O. M. Bucci, N. Cardace, L. Crocco, and T. Isernia, "Degree of non-linearity and a new solution procedure in scalar 2-D inverse scattering problems," J. Opt. Soc. Amer. A, Opt. Image Sci., vol. 18, no. 8, pp. 1832-1845, Aug. 2001.
    • (2001) J. Opt. Soc. Amer. A, Opt. Image Sci , vol.18 , Issue.8 , pp. 1832-1845
    • Bucci, O.M.1    Cardace, N.2    Crocco, L.3    Isernia, T.4
  • 37
    • 0004021335 scopus 로고
    • 6th ed. Berlin, Germany: Springer-Verlag
    • K. Yosida, Functional Analysis, 6th ed. Berlin, Germany: Springer-Verlag, 1980.
    • (1980) Functional Analysis
    • Yosida, K.1
  • 38
    • 84937078393 scopus 로고
    • Scattering by a dielectric cylinder of arbitrary cross section shape
    • J. H. Richmond, "Scattering by a dielectric cylinder of arbitrary cross section shape," IEEE Trans. Antennas Propag., vol. 47, no. 13, pp. 334-341, 1964.
    • (1964) IEEE Trans. Antennas Propag , vol.47 , Issue.13 , pp. 334-341
    • Richmond, J.H.1
  • 39
    • 33847693711 scopus 로고    scopus 로고
    • M. D'Urso, Towards 3D quantitative microwave tomography: New approaches and tools, Ph.D. Thesis, Univ. Federico II, Naples, Italy, 2005. [Online]. Available: http://www.die.unina.it
    • M. D'Urso, "Towards 3D quantitative microwave tomography: New approaches and tools," Ph.D. Thesis, Univ. Federico II, Naples, Italy, 2005. [Online]. Available: http://www.die.unina.it
  • 40
    • 33746641941 scopus 로고    scopus 로고
    • A new and effective model for 3-D forward and inverse scattering problems in lossy scenarios
    • New Delhi, India, Oct, Online, Available
    • L. Crocco, I. Catapano, M. D'Urso, and T. Isernia, "A new and effective model for 3-D forward and inverse scattering problems in lossy scenarios," in Proc. 2005 URSI Gen. Assem., New Delhi, India, Oct. 2005. [Online]. Available: http://www.ursi.org/Proceedings/ProcGA05
    • (2005) Proc. 2005 URSI Gen. Assem
    • Crocco, L.1    Catapano, I.2    D'Urso, M.3    Isernia, T.4


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