Vol. 76
Latest Volume
All Volumes
PIER 179 [2024] PIER 178 [2023] PIER 177 [2023] PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
2007-07-04
Electromagnetic Scattering Approximations Revisited
By
Progress In Electromagnetics Research, Vol. 76, 75-94, 2007
Abstract
Various electromagnetic scattering approximations beyond the Born assumption have been published during the recent years. This paper introduces a simple framework of analyses and investigates in a systematic way the fundamentals of the proposed theories. Our main focus is to demonstrate the link and similarities between the different scattering approximations employing a common physical basis. Based on analogies established we try to bridge the apparent gap between existing theories as well as introducing possible extensions and refinements.
Citation
Leiv-J. Gelius, "Electromagnetic Scattering Approximations Revisited," Progress In Electromagnetics Research, Vol. 76, 75-94, 2007.
doi:10.2528/PIER07062501
References

1. Ruppin, R., "Scattering of electromagnetic radiation by a perfect electromagnetic conductor sphere," J. of Electromagn. Waves and Appl., Vol. 20, No. 12, 1569-1576, 2006.
doi:10.1163/156939306779292390

2. Ruppin, R., "Scattering of electromagnetic radiation by a perfect electromagnetic conductor cylinder," J. of Electromagn. Waves and Appl., Vol. 20, No. 13, 1853-1860, 2006.
doi:10.1163/156939306779292219

3. Oraizi, H. and N. Noori, "Least square solution of the 3-D vector parabolic equation," J. of Electromagn. Waves and Appl., Vol. 20, No. 9, 1175-1187, 2006.
doi:10.1163/156939306777442935

4. Catedra, M. F., R. P. Torres, J. Basterrecha, and E. Gago, The CG-FFT Method: Application of Signal Processing Techniques to Electromagnetics, Artech House, Boston, 1995.

5. Xu, X.Q. H. Liu, and W. Z. Zhang, "The stabilized biconjugate gradient fast Fourier transform method," Proceedings of IEEE Antennas and Propagation Society International Symposium, Vol. 2, 614-617, 2002.

6. Wallen, H. and J. Sarvas, "Translation procedures for broadband MLFMA," Progress In Electromagnetics Research, Vol. 55, 47-78, 2005.
doi:10.2528/PIER05021001

7. Li, M.-K. and C. Chew, "Applying divergence-free condition in solving the volume integral equation," Progress In Electromagnetics Research, Vol. 57, 311-333, 2006.
doi:10.2528/PIER05061303

8. Xie, G. Q., J. Li, L. Xie, and F. Xie, "A GL Metro Carlo EM inversion," J. of Electromagn. Waves and Appl., Vol. 20, No. 14, 1991-2000, 2006.
doi:10.1163/156939306779322756

9. Al Sharkawy, M. H., V. Demir, and A. Z. Elsherbeni, "The iterative multi-region algorithm using a hybrid finite difference frequency domain and method of moment techniques," Progress In Electromagnetics Research, Vol. 57, 19-32, 2006.
doi:10.2528/PIER05071001

10. Habashy, T. M., R. W. Groom, and B. Spies, "Beyond the Born and Rytov approximations: A non-linear approach to electromagnetic scattering," J. Geophys. Res., Vol. 98, No. B2, 1759-1775, 1993.
doi:10.1029/92JB02324

11. Zhdanov, M. S., V. I. Dmitriev, S. Fang, and G. Hursan, "Quasi-analytical approximation and series in 3D electromagnetic modeling," Geophysics, Vol. 65, 1746-1757, 2000.
doi:10.1190/1.1444859

12. Zhdanov, M. S. and S. Fang, "Quasilinear approximation in 3- D electromagnetic modeling," Geophys., Vol. 61, No. 3, 646-665, 1996.
doi:10.1190/1.1443994

13. Song, L.-P. and Q. H. Liu, "A new approximation to threedimensional electromagnetic scattering," IEEE Geosci. Remote Sens. Letters, Vol. 2, No. 2, 238-242, 2005.
doi:10.1109/LGRS.2005.846836

14. Singer, B. S. and E. B. Fainberg, "Generalization of the iterative-dissipative method for modeling electromagnetic fields in nonuniform media with displacement currents," J. Appl. Geophys., Vol. 34, 41-46, 1995.
doi:10.1016/0926-9851(95)00002-J

15. Pankratov, O. V., D. B. Avdeev, and A. V. Kuvshinov, "Electromagnetic field scattering in a heterogeneous earth: A solution to the forward problem," Physics of the Solid Earth, Vol. 31, 201-209, 1995.

16. Zhdanov, M. S. and S. Fang, "Quasi-linear series in threedimensional electromagnetic modeling," Radio Science, Vol. 32, No. 6, 2168-2188, 1997.
doi:10.1029/97RS02284

17. Gao, G. and C. Torres-Verdin, "High-order generalized extended Born approximation for electromagnetic scattering," IEEE Trans. Antennas Propag., Vol. 54, No. 4, 1243-1256, 2006.
doi:10.1109/TAP.2006.872671

18. Eidesmo, T., S. Ellingsrud, L. M. MacGregor, S. Constable, M. C. Sinha, S. Johansen, F. N. Kong, and H. Westerdahl, "Sea Bed Logging (SBL), a new method for remote and direct identification of hydrocarbon filled layers in deepwater areas," First Break, Vol. 20, No. 3, 144-152, 2002.

19. Hohmann, G. W., "Three-dimensional induced polarization and electromagnetic modeling," Geophys., Vol. 40, No. 2, 309-324, 1975.
doi:10.1190/1.1440527

20. Wannamaker, P. E., G. W. Hohmann, and W. A. SanFilipo, "Electromagnetic modelling of three-dimensional bodies in layered earths using integral equations," Geophysics, Vol. 49, No. 1, 60-74, 1983.
doi:10.1190/1.1441562

21. Eroglu, A. and J. K. Lee, "Dyadic Green's functions for an electrically gyrotropic medium," Progress In Electromagnetics Research, Vol. 58, 223-241, 2006.
doi:10.2528/PIER05070203

22. Born, M., Optics, Springer-Verlag, New York, 1933.

23. Gao, G., C. Torres-Verdin, and S. Fang, "Fast 3D modeling of borehole induction measurements in dipping and anisotropic formations using a novel approximation technique," Petrophysics, Vol. 45, 335-349, 2004.

24. Avdeev, D. B. and A. D. Avdeeva, "A rigorous three-dimensional magnetotelluric inversion," Progress In Electromagnetics Research, Vol. 62, 41-48, 2006.
doi:10.2528/PIER06041205

25. Gao, G., C. Torres-Verdin, and T. M. Habashy, "Analytical techniques to evaluate the intergrals of 2D and 3D spatial dyadic Green's functions," Progress In Electromagnetics Research, Vol. 52, 47-80, 2005.
doi:10.2528/PIER04070201