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本文基于积分方程法研究并建立了一种模拟横向同性介质中任意各向异性异常 体三维电磁响应的高阶广义扩展Born近似(Ho-GEBA)算法. 首先利用逐次迭代技术给出积分方程的广义级数展开解, 为保证其收敛性, 引入一种各向异性条件下满足压缩映射的迭代算子. 然后利用异常体区域分解技术, 并结合扩展Born近似原理, 得到各向异性介质三维电磁响应的Ho-GEBA解. 为提高效率, 计算过程中采用并矢Green函数的解析表达式. 最后通过数值计算实例对比验证了本文算法的有效性.
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关键词:
- 高阶广义扩展Born近似 /
- 积分方程 /
- 电磁模拟 /
- 解析Green函数
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.-
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 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 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 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 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 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 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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