基于分形几何思路的超材料结构设计:综述

doi:10.11896/cldb.19080145

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Abstract Metamaterials have attracted worldwide attention because their physical properties can be designed to be beyond natural materials. Generally, the performance of metamaterials depends on the design of structural units and the properties of the material systems. Therefore, fin-ding the appropriate materials and optimizing the structural units are two main ways to improve the performance of metamaterial. With the gradual improvement of material system research, how to optimize the design of structural units effectively has become the key to improve the perfor-mance of metamaterials.
Traditional metamaterials has been limited a lot by their drawbacks such as narrow frequency band, simple units' structures and poor behavior, therefore, it is urgent to propose a novel design strategy. Fractal geometry becomes the ideal solution due to its unique geometric properties such as self-similarity, cross-scale symmetry and non-integer dimension. Recently, the design concept centered on fractal structure formed gradually and has been applied to the design of metamaterials.
Fractal geometry has been widely used in the fields of electromagnetic metamaterials, acoustic metamaterials, mechanical metamaterials and so on and the advantages brought by fractal structures have already been manifested. The introduction of the fractal structure not only achieves the goals such as broadband, miniaturization and integration, but also significantly improves the performance of the metamaterials. The application of fractal geometry shows great potential.
This review summarized the current status of the design and application of fractal metamaterials in different fields. First, we introduced the concept of fractal geometry. Then, we analyzed the advantages and contributions of fractal metamaterials in different application fields by examples and summarized common synthesis methods of fractal metamaterials. Finally, we prospected the main challenges of fractal metamaterials and their development directions in the future.

Key words： fractal geometry metamaterial structure design broadband miniaturization

Published: 17 November 2020

CLC number:

TB33

Fund:This work was financially supported by the National Natural Science Foundation of China (51772191), and Natural Science Foundation of Shanghai (17ZR1441100).

About author:: Zhiwei Yang received his B.E. degree in material science and engineering from Shanghai Jiao Tong University in 2017. He is currently pursuing his M.S. at the material science and engineering, Shanghai Jiao Tong University under the supervision of Prof. Han Zhou. His research has focused on fractal metamaterial.
Han Zhou is a professor in Shanghai Jiao Tong University. She received her Ph.D. degree in materials science from Shanghai Jiao Tong University in 2010. She studied at the University of California, Davis, as a joint Ph.D. student in 2008 and 2009. She was a postdoct or at the National Institute for Materials Science (NIMS), Japan, from 2012—2013, and then at the Max Planck Institute of Colloids and Interfaces. Her scientific interests are focused on bio-inspired functional materials and smart materials, metamaterials and thermal regulation materials.

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Cite this article:

YANG Zhiwei,ZHOU Han. Design of Metamaterial Structures Based on Fractal Geometry: a Review[J]. Materials Reports, 2020, 34(21): 21052-21060.

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http://www.mater-rep.com/EN/10.11896/cldb.19080145 OR http://www.mater-rep.com/EN/Y2020/V34/I21/21052

[1]	Zheludev N I, Kivshar Y S. Nature Materials, 2012, 11(11), 917.
[2]	Yu N, Genevet P, Kats M A, et al. Science, 2011, 334(6054), 333.
[3]	Kamali S M, Arbabi A, Arbabi E, et al.Nature Communications, 2016, 7, 11618.
[4]	Wang X, Luo X, Zhao H, et al.Applied Physics Letters, 2018, 112(2), 021901.
[5]	Colombi A, Colquitt D, Roux P, et al.Scientific Reports, 2016, 6, 27717.
[6]	Meza L R, Phlipot G, Portela C M, et al.Acta Materialia, 2017, 140, 424.
[7]	Krzysztofik W J.Microwave Review, 2013, 19(2), 3.
[8]	Falconer K J.Fractal geometry: mathematical foundations and applications, USA, Wiley, 2003.
[9]	Billon K, Zampetakis I, Scarpa F, et al.Composite Structures, 2017, 160, 1042.
[10]	Tang Y, Yin J.Extreme Mechanics Letters, 2017, 12, 77.
[11]	Venneri F, Costanzo S, Massa G D.IEEE Antennas & Wireless Propagation Letters, 2018, 17(2), 255.
[12]	Man X, Liu T, Xia B, et al. Journal of Sound and Vibration, 2018, 423, 322.
[13]	Ma J J, Tong W H, Shi K, et al.Progress in Electromagnetics Research Letters, 2014, 49, 73.
[14]	Huang D, Kang F, Dong C, et al.Applied Physics A, 2014, 115(2), 627.
[15]	Faruque M R I, Hasan M M, Islam M T.Applied Physics A, 2018, 124(2), 127.
[16]	Li S, Cao X, Gao J, et al.In: Conference Record of the 2015 IEEE International Wireless Symposium. Shenzhen, China, 2015, pp. 1.
[17]	Ma Y, Zhang H, Li Y, et al.Journal of the Optical Society of America B, 2014, 31(2), 325.
[18]	Fan Y N, Cheng Y Z, Nie Y, et al.Chinese Physics B, 2013, 22(6), 067801.
[19]	Jiang H, Xue Z, Li W, et al. LET Microwaves Antennas & Propagation, 2016, 10(11), 1141.
[20]	Kundu D, Mohan A, Chakraborty A.Microwave and Optical Technology Letters, 2015, 57(5), 1072.
[21]	Munaga P, Ghosh S, Bhattacharyya S, et al.Microwave and Optical Technology Letters, 2016, 58(2), 343.
[22]	Kenney M, Grant J, Shah Y D, et al.ACS Photonics, 2017, 4 (10), 2604.
[23]	Liu G, Xu L, Wu Z. International Journal of Antennas and Propagation, 2013, 2013, 1.
[24]	Kubacki R, Lamari S, Czyhewski M, et al. International Journal of Antennas and Propagation, 2017, 2017, 1.
[25]	De Nicola F, Puthiya Purayil N S, Spirito D, et al.ACS Photonics, 2018, 5(6), 2418.
[26]	Xu H X, Wang G M, Qi M Q.IEEE Transactions on Magnetics, 2013, 49(4), 1526.
[27]	Mohammad A, Bal V, Hwang S C, et al. IET Microwaves, Antennas & Propagation, 2018, 12(14), 2241.
[28]	Song G Y, Cheng Q, Huang B, et al.Applied Physics Letters, 2016, 109(13), 131901.
[29]	Zhao X, Liu G, Zhang C, et al.Applied Physics Letters, 2018, 113, 074101.
[30]	Song G Y, Huang B, Dong H Y, et al.Scientific Reports, 2016, 6,35929.
[31]	Liu J, Li L, Xia B, et al.International Journal of Solids and Structures, 2018, 132-133, 20.
[32]	Xia B, Li L, Liu J, et al.Journal of Vibration and Acoustics, 2018, 140(1), 011011.1.
[33]	Ding J, Fan L, Zhang S Y, et al.Scientific Reports, 2018, 8(1), 1481.
[34]	Meza L R, Zelhofer A J, Clarke N, et al.Proceedings of the National Academy of Sciences, 2015, 112(37), 11502.
[35]	Du Q, Zeng Y, Xu Y, et al.Journal of Physics D: Applied Physics,2018, 51, 105104.
[36]	Smolyaninov I I, Smolyaninova V N.Physica C: Superconductivity and Its Applications, 2017, 535, 20.
[37]	Moeini S, Cui T J.Annals of Physics, 2019, 531, 1800134.
[38]	Papadopoulos A, Skoulas E, Mimidis A, et al. Advanced Material, 2019, 31, 1901123.
[39]	Fang Z, Chen H, An D, et al. Scientific Reports, 2018, 8, 9696.
[40]	Zhai Y, Ma Y, David S N, et al. Science, 2017, 355(6329), 1062.
[41]	Kihara N, Sakai O.Applied Sciences, 2018, 8(8), 1310.
[42]	Denis G, Eugenio C, Angelo B, et al.ACS Photonics, 2018, 5(8), 3408.