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In this paper, a propagation matrix method for lossy layered medium with conductive interfaces is presented. Firstly, on the basis of phase matching principle, an approach to calculating the real and imaginary part of wave vector in a lossy layered medium is given for the case of oblique incident plane electromagnetic wave. Since the direction of real and imaginary part of wave vector are different, the plane wave propagating in lossy dielectric layers is inhomogeneous, which extends the traditional propagation matrix method and makes it suitable for the complex lossy medium. Then, the propagation matrix across graphene interface is deduced by using the electromagnetic field boundary conditions, and the analytical expression of the reflection and transmission coefficient for “infinite thin” graphene layer are given. Finally, the propagation matrix of lossy layered medium with conductive interface is obtained by embedding graphene interface into the layered medium, which can be used for fast analyzing the reflection, transmission and propagation of plane wave in composite structure of layered medium and conductive interface. The validity of the proposed method is demonstrated by calculating the single-layered shielding effectiveness of grapheme. The effects of graphene coating on the reflection, transmission and absorption of plane wave in half-space medium and one-dimensional photonic crystal are also investigated. The results show that the graphene layer can enhance surface reflection and optical absorption.
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Keywords:
- graphene /
- lossy stratified media /
- propagation matrix
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[1] Novoselov K S, Geim A K, Morozov S V, Jiang D, Zhang Y, Dubonos S V, Grigorieva I V, Firsove A A 2004 Science 306 666
Google Scholar
[2] Geim A K 2009 Science 324 1530
Google Scholar
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Google Scholar
[4] Alaee R, Farhat M, Rockstuhl C, Lederer F 2012 Opt. Express 20 28017
Google Scholar
[5] Fallahi A, Perruisseau-Carrier J 2012 Phys. Rev. B 86 195408
Google Scholar
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[9] Zuo Z G, Wang P, Ling F R, Liu J S, Yao J Q 2013 Chin. Phys. B 22 097304
Google Scholar
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Google Scholar
Zhang Y P, Zhang H Y, Yin Y H, Liu L Y, Zhang X, Gao Y, Zhang H Y 2012 Acta Phys. Sin. 61 047803
Google Scholar
[11] Zhu X L, Yan W, Jepsen P U, Hansen O, Mortensen N A Xiao S S 2013 Appl. Phys. Lett. 102 131101
Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
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Google Scholar
Xie L Y, Xiao W B, Huang G Q, Hu A R, Liu J T 2014 Acta Phys. Sin. 63 057803
Google Scholar
[20] Zhang H J, Zheng G G, Chen Y Y 2018 Chin. Phys. Lett. 35 038102
Google Scholar
[21] Lovat G 2012 IEEE Trans. Electromagn. Compat. 54 101
Google Scholar
[22] 葛德彪, 魏兵 2011 电磁波理论 (北京: 科学出版社) 第32, 56−65页
Ge D B, Wei B 2011 Electromagnetic Wave Theory (Beijing: Science Press) pp32, 56−65 (in Chinese)
[23] George W H 2008 J. Appl. Phys. 103 064302
Google Scholar
[24] 孙旺, 李粮生, 张景, 殷红成 2018 雷达学报 7 67
Google Scholar
Sun W, Li L S, Zhang J, Yin H C 2018 J. Radars 7 67
Google Scholar
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