High-order generalized extended born approximation for electromagnetic scattering

IEEE Transactions on Antennas and Propagation

Volumn 54, Issue 4, 2006, Pages 1243-1256

  Gao, Guozhong ^a,b   Torres Verdín, Carlos ^a  

^a The University of Texas at Austin   (United States)

^b SCHLUMBERGER   (United States)

Author keywords

Anisotropy; Electromagnetic (EM) scattering; Extended Born approximation (EBA); Generalized extended Born approximation (GEBA); Generalized series (GS); High order generalized extended Born approximation (Ho GEBA); Induction logging

Indexed keywords

APPROXIMATION THEORY; BENCHMARKING; ELECTRIC FIELD EFFECTS; ELECTROMAGNETIC FIELD THEORY;

GENERALIZED EXTENDED BORN APPROXIMATION; GENERALIZED SERIES; INTERNAL ELECTRIC FIELD;

ELECTROMAGNETIC WAVE SCATTERING;

EID: 33645704934     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2006.872671     Document Type: Article

References (20)

1. M. Born, Optics. New York: Springer-Verlag, 1933.
2. S. Fang, G. Gao, and C. Torres-Verdín, "Efficient 3-D electromagnetic modeling in the presence of anisotropic conductive media using integral equations," in Proc. Third Int. 3D Electromagn. (3DEM-3) Symp., 2003.
3. G. Gao, S. Fang, and C. Torres-Verdín, "A new approximation for 3D electromagnetic scattering in the presence of anisotropic conductive media," in Proc. Third Int. 3D Electromagn. (3DEM-3) Symposium, 2003.
4. G. Gao, C. Torres-Verdín, and S. Fang, "Fast 3D modeling of borehole induction data in dipping and anisotropic formations using a novel approximation technique," in Paper VV, Trans. 44th SPWLA Annu. Logging Symp., 2003.
5. G. Gao and C. Torres-Verdín, "Fast inversion of borehole induction data using an inner-outer loop optimization technique," in Paper TT, Trans. 44th SPWLA Annu. Logging Symp., 2003.
6. G. Gao, C. Torres-Verdín, and S. Fang, "Fast 3D modeling of borehole induction data in dipping and anisotropic formations using a novel approximation technique," Petrophys., vol. 45, no. 3, pp. 335-349, 2004.
7. G. Gao and C. Torres-Verdín, "A high-order generalized extended Born approximation to simulate electromagnetic geophysical measurements in inhomogeneous and anisotropic media," SEG Expanded Abstracts, pp. 628-631, 2004.
8. G. Gao, C. Torres-Verdin, and T. M. Habashy, "Analytical techniques to evaluate the integrals of 3D and 2D spatial dyadic Green's functions," Progr. Electromagn. Res., vol. 52, pp. 47-80, 2005.
9. R. F. Harrington, Field Computation by Moment Methods. New York: Macmillan, 1968.
10. G. W. Hohmann, "Three-dimensional induced polarization and electromagnetic modeling," Geophys., vol. 40, no. 2, pp. 309-324, 1975.
11. 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, 1994.
12. T. M. Habashy, R. W. Groom, and B. Spies, "Beyond the Born and Rytov approximations: A nonlinear approach to electromagnetic scattering," J. Geophys. Res., vol. 98, no. B2, pp. 1759-1775, 1993.
13. M. S. Zhdanov and S. Fang, "Quasilinear series in three-dimensional electromagnetic modeling," Radio Sci., vol. 32, no. 6, pp. 2167-2188, 1997.
14. M. S. Zhdanov and S. Fang, "Quasilinear approximation in 3-D electromagnetic modeling," Geophys., vol. 61, no. 3, pp. 646-665, 1996.
15. O. V. Pankratov, D. B. Avdeev, and A. V. Kuvshinov, "Scattering of electromagnetic field in inhomogeneous earth: Forward problem solution," Izv. Akad. Nauk. SSSR Fiz. Zemli, vol. 3, pp. 17-25, 1995.
16. B. S. Singer, "Method for solution of Maxwell's equation in nonuniform media," Geophys. J. Int., vol. 120, pp. 590-598, 1995.
17. T. J. Cui, Y. Qin, G.-L. Wang, and W. C. Chew, "Low-frequency detection of two-dimensional buried objects using high-order extended Born approximations," Inv. Prob., vol. 20, pp. 41-62, 2004a.
18. 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, 2004b.
19. J. P. Aubin, Applied Functional Analysis. New York: Wiley, 1979.
20. R. F. Harrington, Time-Harmonic Electromagnetic Fields. New York: McGraw-Hill, 1961.