A novel fast algorithm of electromagnetic dyadic Green's function in horizontal layered medium

Chen Gui-Bo; Bi Juan; Wang Jian-Bo; Chen Xin-Yi; Sun Guan-Cheng; Lu Jun

doi:10.7498/aps.60.094102

Abstract

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.

Keywords:

Authors and contacts

1.
College of Science, Changchun University of Science and Technology, Changchun 130022, China

References

[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

Cited By

[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

[1]	Chen Bo, Wang Hong-Nian, Yang Shou-Wen, Yin Chang-Chun. An efficient algorithm of three-dimensional explicit electromagnetic sensitivity matrix in marine controlled source electromagnetic measurements. Acta Physica Sinica, 2021, 70(6): 069101. doi: 10.7498/aps.70.20201282
[2]	Zhao Yun-Jin, Tian Meng, Huang Yong-Gang, Wang Xiao-Yun, Yang Hong, Mi Xian-Wu. Renormalization of photon dyadic Green function by finite element method and its applications in the study of spontaneous emission rate and energy level shift. Acta Physica Sinica, 2018, 67(19): 193102. doi: 10.7498/aps.67.20180898
[3]	Kan Yong, Yan Li-Ping, Zhao Xiang, Zhou Hai-Jing, Liu Qiang, Huang Ka-Ma. Electromagnetic topology based fast algorithm for shielding effectiveness estimation of multiple enclosures with apertures. Acta Physica Sinica, 2016, 65(3): 030702. doi: 10.7498/aps.65.030702
[4]	Chai Shui-Rong, Guo Li-Xin. A new fast algorithm based on compressive sensing for composite electromagnetic back scattering from a 2D ship located on a 1D rough sea surface. Acta Physica Sinica, 2015, 64(6): 060301. doi: 10.7498/aps.64.060301
[5]	Cheng Guang-Li, Zhang Ming-Min, Hu Jin-Hua. A fast and more universal algorithm for an uncertain acoustic filed in shallow-water. Acta Physica Sinica, 2014, 63(8): 084301. doi: 10.7498/aps.63.084301
[6]	Wang Jian-Xun, Wang Hong-Nian, Zhou Jian-Mei, Yang Shou-Wen, Liu Xiao-Jun, Yin Chang-Chun. Simulation of marine controlled-source electromagnetic response in horizontally layered transversely isotropic formation by using improved transmission line method. Acta Physica Sinica, 2013, 62(22): 224101. doi: 10.7498/aps.62.224101
[7]	Qi You-Zheng, Huang Ling, Zhang Jian-Guo, Fang Guang-You. Study on the electromagnetic fields of an extended source over layered models. Acta Physica Sinica, 2013, 62(23): 234201. doi: 10.7498/aps.62.234201
[8]	Zhou Jian-Mei, Wang Hong-Nian, Yao Jing-Jin, Yang Shou-Wen, Ma Yin-Zhi. Parameterized inversion of frequency sounding data in horizontally stratified transverse isotropic medium. Acta Physica Sinica, 2012, 61(8): 089101. doi: 10.7498/aps.61.089101
[9]	Liu Wen-Long, Pang Shuang-Jie, Zhang Ji-Feng. A fast algorithm with convergence for generalized predictive function control of Hnon chaotic system. Acta Physica Sinica, 2011, 60(11): 110505. doi: 10.7498/aps.60.110505
[10]	Chen Zhi-Wang, Liu Wen-Long. A fast algorithm for multivariable generalized predictive control of Rössler hyperchaotic system. Acta Physica Sinica, 2011, 60(5): 050506. doi: 10.7498/aps.60.050506
[11]	Chen Zhi-Wang, Liu Wen-Long. A fast algorithm without static error for generalized predictive control of Hénon chaotic system. Acta Physica Sinica, 2011, 60(1): 010512. doi: 10.7498/aps.60.010512
[12]	Huo Bing-Zhong, Yuan Jing-He, Shang Ying, Meng Chun-Ning. Spherical superlens analysed by dyadic Green’s function. Acta Physica Sinica, 2010, 59(11): 8178-8183. doi: 10.7498/aps.59.8178
[13]	Wen Shu-Huan, Wang Zhe, Liu Fu-Cai. A fast algorithm for adaptive generalized predictive control of Hénon chaotic systems. Acta Physica Sinica, 2009, 58(6): 3753-3758. doi: 10.7498/aps.58.3753
[14]	Wen Shu-Huan. A fast algorithm for adaptive predictive function of Hénon chaotic system. Acta Physica Sinica, 2009, 58(8): 5209-5213. doi: 10.7498/aps.58.5209
[15]	Chen Gui-Bo, Wang Hong-Nian, Yao Jing-Jin, Han Zi-Ye, Yang Shou-Wen. An efficient algorithm of the electromagnetic dyadic Green’s function in a horizontal-layered anisotropic medium. Acta Physica Sinica, 2009, 58(3): 1608-1618. doi: 10.7498/aps.58.1608
[16]	Jiang Yan-Nan, Ge De-Biao. New scheme for introducing an oblique incidence plane wave to layered media in finite-difference time-domain. Acta Physica Sinica, 2008, 57(10): 6283-6289. doi: 10.7498/aps.57.6283
[17]	Liu Shi-Yuan, Gu Hua-Yong, Zhang Chuan-Wei, Shen Hong-Wei. A fast algorithm for reflectivity calculation of micro/nano deep trench structures by corrected effective medium approximation. Acta Physica Sinica, 2008, 57(9): 5996-6001. doi: 10.7498/aps.57.5996
[18]	Liu Fu-Cai, Liang Xiao-Ming. A fast algorithm for generalized predictive control and synchronization of Hénon chaotic systems. Acta Physica Sinica, 2005, 54(10): 4584-4589. doi: 10.7498/aps.54.4584
[19]	YOU YUN-XIANG, MIAO GUO-PING, LIU YING-ZHONG. A FAST ALGORITHM FOR VISUALIZING MULTIPLE THREE-DIMENSIONAL OBJECTS USING NEAR-FIELD ACOUSTIC MEASUREMENTS. Acta Physica Sinica, 2001, 50(6): 1103-1109. doi: 10.7498/aps.50.1103
[20]	ZHANG HANG, HE SAI-LING, CHEN PAN, SUN WEI. INVERSE PROBLEMS FOR THREE-DIMENSIONAL LOCALIZATION OF AN INHOMOGENEITY IN A STRATIFIED SCATTERING MEDIUM BY USING A WEIGHTED FOURIER TRANSFORM. Acta Physica Sinica, 2001, 50(8): 1481-1485. doi: 10.7498/aps.50.1481

Catalog

Vol. 60, Issue 9 - 2011-05-05

Metrics

Abstract views: 7316
PDF Downloads: 866
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板