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Analysis of field coupling to transmission lines with random rotation over the ground |
Xie Hai-Yan (谢海燕)a, Li Yong (李勇)a, Qiao Hai-Liang (乔海亮)a, Wang Jian-Guo (王建国)a b |
a Northwest Institute of Nuclear Technology, Xi'an 710024, China; b School of Electronic and Information Engineering, Xi'an Jiaotong University, Xi'an 710049, China |
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Abstract In this paper we analyze plane wave coupling to transmission lines rotating randomly over an infinite and perfectly conducting ground and present an efficient method to calculate average voltage. Under the assumption of small rotation quantity, the factors affecting the induced voltage and their effects are analyzed and then an efficient method to calculate the average voltage is presented when the distribution of the random rotation angles is uniform in [-π, π]. The results show that voltage variation is mainly due to the change of the source term. The effects of the source term increase linearly with the magnitude of the incident wave, change periodically with the rotation angle, and are larger in the high frequency range than in the low frequency range. The results show that the average voltages obtained by the proposed method agree well with those via the Monte Carlo method and the proposed method is much more efficient. The results also imply that the effect of random rotation is more important than that of random translation.
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Received: 02 December 2014
Revised: 22 January 2015
Accepted manuscript online:
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PACS:
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05.10.-a
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(Computational methods in statistical physics and nonlinear dynamics)
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41.20.-q
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(Applied classical electromagnetism)
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84.40.Az
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(Waveguides, transmission lines, striplines)
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Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 61231003 and 61201090). |
Corresponding Authors:
Xie Hai-Yan
E-mail: xiehaiyan@nint.ac.cn
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About author: 05.10.-a; 41.20.-q; 84.40.Az |
Cite this article:
Xie Hai-Yan (谢海燕), Li Yong (李勇), Qiao Hai-Liang (乔海亮), Wang Jian-Guo (王建国) Analysis of field coupling to transmission lines with random rotation over the ground 2015 Chin. Phys. B 24 060501
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