Equivalent circuit model and microwave reflection loss mechanism of double-layer spiral-ring metasurface embedded composite microwave absorber

Li Yu-Han; Deng Lian-Wen; Luo Heng; He Long-Hui; He Jun; Xu Yun-Chao; Huang Sheng-Xiang

doi:10.7498/aps.68.20181960

Abstract

High-performance absorbing material can play an important role in electromagnetic compatibility, electromagnetic radiation protection, and anti-detection of special equipment. Combining traditional absorbing material with metamaterial is an important direction for developing absorbing material. The composite absorbing body based on the development of metamaterial has advantages of thin thickness, light weight, strong absorption, and adjustable absorption band, but the super material absorption body composed of single-sized metal pattern elements possesses generally strong absorption only for electromagnetic waves at a certain frequency. It is difficult to meet the requirement for wide frequency absorption in practical applications. In order to broaden the absorption bandwidth of metamatial, metal spiral-ring metasurface coated short carbon fiber absorber with enhanced microwave absorbing performance is proposed. The absorber is a two-dimensional structure formed by periodically arranging a large number of individual absorber units in the horizontal and vertical direction. In the HFSS simulation software, a " master-slave boundary condition” consisting of " master boundary” and " slave boundary” is provided. Under this boundary condition, the electric field between adjacent boundaries has a phase difference, which can be used to simulate an infinite array. The research results show that the obvious enhancement of both the absorption peak and bandwidth can be observed by embedding the double-layer spiral-ring metasurfaces. The increase of initial length of spiral-rings and thickness of absorber are beneficial to further enhancing the microwave absorption. The reflection loss from 9.2 GHz to 18.0 GHz are under –10 dB (the bandwidth reaches 8.8 GHz), and the peak of S₁₁ is –14.4 dB. Besides, we find that the effective electromagnetic parameters and impedance of spiral-ring metasurface embedded microwave absorber present obvious resonant phenomenon at multi-frequencies by calculating S parameters. Furthermore, an equivalent circuit model regarding double-layer spiral-ring embedded absorber is established to reveal the attenuation mechanism of microwave energy. The resonant frequencies derived from this model are well accord with the simulated results. Thereby, the multi-electromagnetic resonant frequencies make the composite microwave absorber combined with double-layer metal spiral-ring and carbon fiber have microwave reflection loss in a wide bandwidth.

Keywords:

Authors and contacts

School of Physics and Electronics, Central South University, Changsha 410083, China

Corresponding author: Deng Lian-Wen, denglw@csu.edu.cn

Funds: Project supported by the National Key Research and Development Program of China (Grant No. 2017YFA0204600) and the National Natural Science Foundation of China (Grant No. 51802352).

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References

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Cited By

图 1 螺旋环-碳纤维复合吸波体结构示意图

Figure 1. Structure schematic diagram of spiral-ring with carbon fiber composite microwave absorber.

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图 2 碳纤维损耗层复相对介电常数频谱

Figure 2. Relative complex permittivity of carbon fiber.

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图 3 仿真模型边界条件与激励设置

Figure 3. Settings of boundary conditions and incentive settings for the simulation model.

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图 4 双层金属螺旋环-碳纤维复合吸波体的反射损耗

Figure 4. Reflection loss of double layers metal spiral-ring with carbon fiber composite microwave absorber.

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图 5 螺旋环结构参数对双层螺旋环-碳纤维复合吸波体反射损耗的影响　(a)初始线长; (b)线宽; (c)损耗层厚度

Figure 5. Effects of structure parameters of spiral-ring on the reflection loss of double layers metal spiral-ring with carbon fiber composite microwave absorber: (a) Initial length of line; (b) width of line; (c) thickness of upper dielectric layer

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图 6 复合吸波体S参数的(a)幅值和(b)相位的频谱特性

Figure 6. Spectrum feature of composite microwave absorber’s S parameter: (a) Amplitude; (b) phase

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图 7 复合吸波体的(a) 复阻抗Z、(b) 复介电常数、(c)复磁导率和(d)复折射率的频谱特性

Figure 7. Spectrum feature of composite microwave absorber: (a) Complex impedance Z; (b) relative complex permittivity; (c) relative complex permeability; (d) complex refractive index

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图 8 电场强度E幅值分布俯视图　(a) f₀₁ = 9.04 GHz; (b) f₀₂ = 12.80 GHz; (c) f₀₃ = 16.48 GHz; (d)等厚度有耗介质(f₀₃ = 16.48 GHz)

Figure 8. Top view of electric field amplitude E distribution: (a) f₀₁ = 9.04 GHz; (b) f₀₂ =12.80 GHz; (c) f₀₃ = 16.48 GHz; (d) dielectric with dielectric loss with the same thickness (f₀₃ = 16.48 GHz)

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图 9 表面电流密度矢量J分布俯视图　(a) f₀₄ = 11.12 GHz; (b) f₀₅ = 14.64 GHz

Figure 9. Top view of distribution for surface current density J : (a) f₀₄ = 11.12 GHz; (b) f₀₅ = 14.64 GHz

DownLoad: Full-Size Img PowerPoint

图 10 复合吸波体f_0i与f_i (k = 1)的对比

Figure 10. Comparison of f_0i and f_i (k = 1) .

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表 1 复合吸波体谐振频点的等效电路模型计算值

Table 1. Calculation results of resonance frequency of composite microwave absorber.

编号i	等效电磁参数谐振频点f_0i/GHz	相对介电常数ε_r	等效电容器/电感线长度a_i/mm	修正因子k = 1时近似谐振频点f_i/GHz	修正因子 k	f_0i与f_i的相对误差
1	9.04	2.216	8.0	9.12	1.02	0.88%
2	12.80	2.054	6.5	11.66	0.83	–8.91%
3	16.48	1.985	5.0	15.42	0.88	–6.43%
4	11.12	2.110	7.0	10.68	0.92	–3.96%
5	14.64	2.009	5.0	15.33	1.10	4.71%

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[1]	Li J S, Huang H, Zhou Y J, Zhang C Y, Li Z T 2017 J. Mater. Res. 32 1213 Google Scholar
[2]	熊益军, 王岩, 王强, 王春齐, 黄小忠, 张芬, 周丁 2018 物理学报 67 084202 Google Scholar Xiong Y J, Wang Y, Wang Q, Wang C Q, Huang X Z, Zhang F, Zhou D 2018 Acta Phys. Sin. 67 084202 Google Scholar
[3]	Luo H, Feng W L, Liao C W, Deng L W, Liu S, Zhang H B, Xiao P 2018 J. Appl. Phys. 123 104103 Google Scholar
[4]	He J, Deng L W, Liu S, Yan S Q, Luo H, Li Y H, He L H, Huang S X 2017 J. Magn. Magn. Mater. 444 49 Google Scholar
[5]	贺龙辉, 胡照文, 邓联文, 黄生祥, 刘胜, 贺君, 文瑞 2015 功能材料 46 23120 Google Scholar He L H, Hu Z W, Deng L W, Huang S X, Liu S, He J, Wen R 2015 J. Funct. Mater. 46 23120 Google Scholar
[6]	Landy N I, Sajuyigbe S, Mock J J, Smith D R, Padilla W J 2008 Phys. Rev. Lett. 100 207402 Google Scholar
[7]	张勇, 段俊萍, 张文栋, 王万军, 张斌珍 2016 材料导报 30 157 Zhang Y, Duan J P, Zhang W D, Wang W J, Zhag B Z 2016 Mater. Rev. 30 157
[8]	高海涛, 王建江, 许宝才, 李泽, 刘嘉玮 2017 材料导报 31 15 Google Scholar Gao H T, Wang J J, Xu B C, Li Z, Liu J W 2017 Mater. Rev. 31 15 Google Scholar
[9]	宋健, 李敏华, 董建峰 2017 材料导报 31 114 Google Scholar Song J, Li M H, Dong J F 2017 Mater. Rev. 31 114 Google Scholar
[10]	顾超, 屈绍波, 裴志斌, 徐卓, 林宝勤, 周航, 柏鹏, 顾巍, 彭卫东, 马华 2011 物理学报 60 087802 Google Scholar Gu C, Qu S B, Pei Z B, Xu Z, Lin B Q, Zhou H, Bai P, Gu W, Peng W D, Ma H 2011 Acta Phys. Sin. 60 087802 Google Scholar
[11]	高军, 张浩, 曹祥玉, 杨欢欢, 杨群, 李文强 2015 西安电子科技大学学报 42 130 Google Scholar Gao J, Zhang H, Cao X Y, Yang H H, Yang Q, Li W Q 2015 J. Xidian Univ. 42 130 Google Scholar
[12]	刘凌云, 邹浩, 李珊, 程用志 2015 功能材料 46 20053 Google Scholar Liu L Y, Zou H, Li S, Cheng Y Z 2015 J. Funct. Mater. 46 20053 Google Scholar
[13]	占生宝, 刘涛, 倪受春, 肖文标, 付翔 2013 兵器材料科学与工程 36 78 Google Scholar Zhan S B, Liu T, Ni S C, Xiao W B, Fu X 2013 Ordnance Mater. Sci. Engin. 36 78 Google Scholar
[14]	程用志, 王莹, 聂彦, 郑栋浩, 龚荣洲, 熊炫, 王鲜 2012 物理学报 61 134102 Google Scholar Cheng Y Z, Wang Y, Nie Y, Zheng D H, Gong R Z, Xiong X, Wang X 2012 Acta Phys. Sin. 61 134102 Google Scholar
[15]	Cheng Y Z, Gong R Z, Nie Y, Wang X 2012 Chin. Phys. B 21 127801 Google Scholar
[16]	Zhang H B, Deng L W, Zhou P H, Zhang L, Cheng D M, Chen H Y, Liang D F, Deng L J 2013 J. Appl. Phys. 113 013903 Google Scholar
[17]	Zhao J C, Cheng Y Z 2016 J. Electron. Mater. 45 5033 Google Scholar
[18]	Cheng Y Z, He B, Zhao J C, Gong R Z 2017 J. Electron. Mater. 46 1293 Google Scholar
[19]	Cheng Y Z, Cheng Z Z, Mao X S, Gong R Z 2017 Material 10 1241 Google Scholar
[20]	Luo H, Cheng Y Z 2018 J. Electron. Mater. 47 323 Google Scholar
[21]	Sun J B, Liu L Y, Dong G Y, Zhou J 2011 Opt. Express 19 21155 Google Scholar
[22]	Wang B X, Wang L L, Wang G Z, Huang W Q, Li X F, Zhai X 2014 IEEE Photon. Techn. Lett. 26 111 Google Scholar
[23]	Wang B X, Wang L L, Wang G Z, Huang W Q, Li X F, Zhai X 2014 Appl. Phys. A 115 1187 Google Scholar
[24]	程用志 2015 博士学位论文 (武汉: 华中科技大学) Cheng Y Z 2015 Ph. D. Dissertation (Wuhan: Huazhong University of Science and Technology) (in Chinese)
[25]	Li W, Wu T L, Wang W, Guan J G, Zhai P C 2014 Appl. Phys. Lett. 104 022903
[26]	郭飞, 杜红亮, 屈绍波, 夏颂, 徐卓, 赵建峰, 张红梅 2015 物理学报 64 077801 Google Scholar Guo F, Du H L, Qu S B, Xia S, Xu Z, Zhao J F, Zhang H M 2015 Acta Phys. Sin. 64 077801 Google Scholar
[27]	Sun L K, Cheng H F, Zhou Y J, Wang J 2011 Appl. Phys. A 105 49 Google Scholar
[28]	徐永顺, 别少伟, 江建军, 徐海兵, 万东, 周杰 2014 物理学报 63 205202 Google Scholar Xu Y S, Bie S W, Jiang J J, Xu H B, Wan D, Zhou J 2014 Acta Phys. Sin. 63 205202 Google Scholar
[29]	Hou Z L, Kong L B, Jin H B, Cao M S, Li X, Qi X 2012 Chin. Phys. Lett. 29 017701 Google Scholar

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