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In this paper, we present a high-order generalized extended Born approximation (Ho-GEBA) algorithm for modeling 3D electromagnetic responses of an arbitrary anisotropic body in transverse anisotropic background medium based on integral equation method. First, generalized series solutions of the integral equation are obtained by successive iterative technique, and a contraction operator is introduced for the anisotropic medium based on the iterative dissipation principle to guarantee the convergence of high-order series. Then, we derive the Ho-GEBA solutions of 3D electromagnetic responses in the anisotropic medium using the abnormal body domain decomposition method combining with the extended Born approximation. Analytical solutions of dyadic Green's functions in the transverse isotropic medium are used, which can improve the efficiency of the algorithm greatly. Numerical results show the validity of the algorithm by comparing it with the full integral equation method and the classical Born approximation.
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Keywords:
- high-order generalized extended Born approximation /
- integral equation /
- electromagnetic modeling /
- analytical green'
[1] Born M, Wolf E 1980 Principles of Optics (New York: Pergamon)
[2] Habashy T M, Groom R W, Spies B 1993 J. Geophys. Re 98 B2
[3] Cui T J, Chew W C, Hong W 2004 IEEE Transactions on Antennas and Propagation 52 3
[4] Zhdanov M S, Fang S 1996 Geophysics 61 646
[5] Zhdanov M S, Dmitriev V I, Fang S, Hursan G 2000 Geophysics 65 1746
[6] Song L P, Liu Q H 2005 IEEE Geosci. Remote Sens. Letters 2 238
[7] Gao G Z, Torres-Verdin 2006 IEEE Trans. Antennas Propag 54 1243
[8] Michalski K A, Mosig J R 1997 IEEE Trans. Antennas Propag 45 508
[9] Pankratov O V, Kuvshinov A V, Avdeev D B 1997 Geomag. Geoelectr 49 1541
[10] Chen G B, Wang H N, Yao J J, Han Z Y 2009 Acta Phy. Sin. 58 3848 (in Chinese) [陈桂波, 汪宏年, 姚敬金, 韩子夜 2009 物理学报 58 3848]
[11] Chen G B, Wang H N, Yao J J, Han Z Y, Yang S W 2009 Acta Phys. Sin. 58 1608 (in Chinese) [陈桂波, 汪宏年, 姚敬金, 韩子夜, 杨守文 2009 物理学报 58 1608]
[12] Chen G B, Bi J, Wang J B, Chen X Y, Sun G C, Lu J 2011 Acta Phys. Sin. 60 094102 (in Chinese) [陈桂波, 毕娟, 汪剑波, 陈新邑, 孙贯成, 卢俊 2011 物理学报 60 094102]
[13] Chen G B 2009 Ph.D. Dissertation (Changchun: Jilin University) (in Chinese) [陈桂波 2009 博士学位论文 (长春: 吉林大学)]
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[1] Born M, Wolf E 1980 Principles of Optics (New York: Pergamon)
[2] Habashy T M, Groom R W, Spies B 1993 J. Geophys. Re 98 B2
[3] Cui T J, Chew W C, Hong W 2004 IEEE Transactions on Antennas and Propagation 52 3
[4] Zhdanov M S, Fang S 1996 Geophysics 61 646
[5] Zhdanov M S, Dmitriev V I, Fang S, Hursan G 2000 Geophysics 65 1746
[6] Song L P, Liu Q H 2005 IEEE Geosci. Remote Sens. Letters 2 238
[7] Gao G Z, Torres-Verdin 2006 IEEE Trans. Antennas Propag 54 1243
[8] Michalski K A, Mosig J R 1997 IEEE Trans. Antennas Propag 45 508
[9] Pankratov O V, Kuvshinov A V, Avdeev D B 1997 Geomag. Geoelectr 49 1541
[10] Chen G B, Wang H N, Yao J J, Han Z Y 2009 Acta Phy. Sin. 58 3848 (in Chinese) [陈桂波, 汪宏年, 姚敬金, 韩子夜 2009 物理学报 58 3848]
[11] Chen G B, Wang H N, Yao J J, Han Z Y, Yang S W 2009 Acta Phys. Sin. 58 1608 (in Chinese) [陈桂波, 汪宏年, 姚敬金, 韩子夜, 杨守文 2009 物理学报 58 1608]
[12] Chen G B, Bi J, Wang J B, Chen X Y, Sun G C, Lu J 2011 Acta Phys. Sin. 60 094102 (in Chinese) [陈桂波, 毕娟, 汪剑波, 陈新邑, 孙贯成, 卢俊 2011 物理学报 60 094102]
[13] Chen G B 2009 Ph.D. Dissertation (Changchun: Jilin University) (in Chinese) [陈桂波 2009 博士学位论文 (长春: 吉林大学)]
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