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In this paper, a novel fast algorithm is presented for electromagnetic (EM) dyadic Green’s functions in horizontal layered medium using direct-waves’ extraction combining with self-adaptive digital filter method. First of all, the direct-waves which characterize effects of homogeneous medium in spectral domain Green’s functions(SDGF) are extracted, and their integrals are obtained by analytical calculations. In this method, the singularity of SDGF is reduced and the integral convergence range is shortened remarkably. Then, we transform the remnant integrals of SDGF into three rapid declining integrals, and self-adaptive digital filter method is introduced to obtain solution quickly. Finally, our numerical results validate the efficiency of the algorithm.
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Keywords:
- dyadic Green’s functions /
- fast algorithm /
- horizontal layered medium
[1] Chen G B, Wang H N, Yao J J, Han Z Y, Yang S W 2009 Acta Phy. 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]
[2] Ma H, Qu S B, Xu Z, Zhang J Q, Wang J F 2009 Chin. Phys. B 18 1025
[3] Tai C T, Lu S 2005 Dyadic Green’s Functions in Electromagnetic Theory (Wuhan: Wuhan University Press) (in Chinese) [戴振铎、 鲁 述 2005 电磁理论中的并矢格林函数 (武汉:武汉大学出版社)]
[4] Michalski K A, Mosig J R 1997 IEEE Trans. Antennas and Propag. 45 508
[5] Guptasarma D, Singh B 1997 Geophysical Prospecting 45 745
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[1] Chen G B, Wang H N, Yao J J, Han Z Y, Yang S W 2009 Acta Phy. 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]
[2] Ma H, Qu S B, Xu Z, Zhang J Q, Wang J F 2009 Chin. Phys. B 18 1025
[3] Tai C T, Lu S 2005 Dyadic Green’s Functions in Electromagnetic Theory (Wuhan: Wuhan University Press) (in Chinese) [戴振铎、 鲁 述 2005 电磁理论中的并矢格林函数 (武汉:武汉大学出版社)]
[4] Michalski K A, Mosig J R 1997 IEEE Trans. Antennas and Propag. 45 508
[5] Guptasarma D, Singh B 1997 Geophysical Prospecting 45 745
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