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Chin. Phys. B, 2021, Vol. 30(9): 097806    DOI: 10.1088/1674-1056/ac0cde

Topology optimization method of metamaterials design for efficient enhanced transmission through arbitrary-shaped sub-wavelength aperture

Pengfei Shi(史鹏飞)1,†, Yangyang Cao(曹阳阳)1, Hongge Zhao(赵宏革)1, Renjing Gao(高仁璟)2,‡, and Shutian Liu(刘书田)2
1 College of Marine Electrical Engineering, Dalian Maritime University, Dalian 116023, China;
2 Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116023, China
Abstract  The electromagnetic wave enhanced transmission (ET) through the sub-wavelength aperture was an unconventional physical phenomenon with great application potential. It was important to find a general design method which can realize efficient ET for arbitrary-shaped apertures. For achieving ET with maximum efficiency at specific frequency through arbitrary-shaped subwavelength aperture, a topology optimization method for designing metamaterials (MTM) microstructure was proposed in this study. The MTM was employed and inserted vertically in the aperture. The description function for the arbitrary shape of the aperture was established. The optimization model was founded to search the optimal MTM microstructure for maximum enhanced power transmission through the aperture at the demanded frequency. Several MTM microstructures for ET through the apertures with different shapes at the demanded frequency were designed as examples. The simulation and experimental results validate the feasibility of the method. The regularity of the optimal ET microstructures and their advantages over the existing configurations were discussed.
Keywords:  metamaterial      enhanced transmission      topology optimization      arbitrary-shaped aperture  
Received:  17 March 2021      Revised:  27 May 2021      Accepted manuscript online:  21 June 2021
PACS:  78.67.Pt (Multilayers; superlattices; photonic structures; metamaterials)  
  42.25.Bs (Wave propagation, transmission and absorption)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. U1808215), the Natural Science Foundation of Liaoning Province, China (Grant No. 20180540082), and the Science and Technology Program of Shenzhen (Grant No. JSGG 20200102155001779).
Corresponding Authors:  Pengfei Shi, Renjing Gao     E-mail:;

Cite this article: 

Pengfei Shi(史鹏飞), Yangyang Cao(曹阳阳), Hongge Zhao(赵宏革), Renjing Gao(高仁璟), and Shutian Liu(刘书田) Topology optimization method of metamaterials design for efficient enhanced transmission through arbitrary-shaped sub-wavelength aperture 2021 Chin. Phys. B 30 097806

[1] Wiltshire M C, Pendry J B, Young I R, Larkman D J, Gilderdale D and Hajnal J V 2001 Science 291 849
[2] Shelby R A, Smith D R and Schultz S 2001 Science 292 77
[3] Ran J, Zhang Y, Chen X D, Fang K, Zhao J and Chen H 2016 Sci. Rep. 6 23973
[4] Jiang Q, Xiang C, Luo Y, Wu L, Zhang Q, Zhao S, Qin F and Lin J 2020 Mater. Design 185 108270
[5] Yi J, Campbell S D, Feng R, Burokur S N and Werner D H 2018 Opt. Express 26 505
[6] Zhu J, Lao C, Chen T and Li J 2020 Mater. Design 191 108618
[7] Kandwal A, Li J, Igbe T, Liu Y, Li S, Wang L, Hao Y and Nie Z 2020 Sci. Rep. 10 113
[8] Liu T and Kim S 2019 Sci. Rep. 9 16494
[9] Mei Y H, Shao Y and Hang Z H 2019 Acta Phys. Sin. 68 227803 (in Chinese)
[10] Yang X, Wei T, Chen F, Gao F, Du J and Hou Y 2020 Chin. Phys. B 29 107303
[11] Wen J, Wang K, Feng H, Chen J, Gao X, Hong R and Zhang D 2017 Plasmonics 12 1257
[12] Lee I, Sohn I, Kang C, Kee C, Yang J and Lee J W 2017 Opt. Express 25 6365
[13] Cetin A E, Turkmen M, Aksu S, Etezadi D and Altug H 2015 Appl. Phys. B 118 29
[14] Hu Y, Liu G, Liu Z, Liu X, Zhang X, Cai Z, Liu M, Gao H and Gu G 2015 Plasmonics 10 483
[15] Fan J, He Y, Jiao Y, Hao L, Zhao J and Jia S 2021 Chin. Phys. B 30 034207
[16] Bethe H A 1944 Phys. Rev. 66 163
[17] Ebbesen T W, Lezec H J, Ghaemi H F, Thio T and Wolff P A 1998 Nature 391 667
[18] Zhu H, Yao A and Zhong M 2016 Chin. Phys. B 25 107301
[19] He M, Ma W and Wang X 2013 Chin. Phys. B 22 114201
[20] Wang Y, Duan G, Zhang L, Ma L, Zhao X and Zhang X 2018 Sci. Rep. 8 2087
[21] Liang T, Shao W, Wei X and Liang M 2018 Chin. Phys. B 27 100204
[22] Kang E S H, Ekinge H and Jonsson M P 2019 Opt. Mater. Express 9 1404
[23] Yuan J, Kan Q, Geng Z, Xie Y, Wang C and Chen H 2014 Chin. Phys. B 23 084201
[24] Malyuskin O and Fusco V 2017 Sens Imaging 18 7
[25] Guo Y S, Zhou J, Lan C W, Wu H Y and Bi K 2014 Appl. Phys. Lett. 104 204103
[26] Hajian H, Ozbay E and Caglayan H 2017 Sci. Rep. 7 4741
[27] Guo Y and Zhou J 2015 Sci. Rep. 5 8144
[28] Xiao S, Peng L and Mortensen N A 2010 Opt. Express 18 6040
[29] Ramaccia D, Palma L D, Ates D, Ozbay E, Toscano A and Bilotti F 2014 IEEE Trans. Antennas Propag. 62 2093
[30] Azemi S N and Rowe W S 2018 IEEE Antennas Wireless Propag. Lett. 17 2246
[31] Wang Y, Qin Y and Zhang Z 2014 Plasmonics 9 203
[32] Lim H, Yoo J and Choi J S 2014 Struct. Multidisc. Optim. 49 209
[33] Jung J, Goo S and Kook J 2020 Mater. Design 191 108627
[34] Diaz A R and Sigmund O A 2010 Struct. Multidisc. Optim. 41 163
[35] Lin Z, Liu V, Pestourie R and Johnson S G 2019 Opt. Express 27 15765
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