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

doi:10.1088/1674-1056/ac0cde

中国物理B ›› 2021, Vol. 30 ›› Issue (9): 97806-097806.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

收稿日期:2021-03-17 修回日期:2021-05-27 接受日期:2021-06-21 出版日期:2021-08-19 发布日期:2021-09-06
通讯作者: Pengfei Shi, Renjing Gao E-mail:pfshi@dlmu.edu.cn;renjing@dlut.edu.cn
基金资助:
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).

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

Received:2021-03-17 Revised:2021-05-27 Accepted:2021-06-21 Online:2021-08-19 Published:2021-09-06
Contact: Pengfei Shi, Renjing Gao E-mail:pfshi@dlmu.edu.cn;renjing@dlut.edu.cn
Supported by:
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).

摘要/Abstract

摘要： 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.

关键词: metamaterial, enhanced transmission, topology optimization, arbitrary-shaped aperture

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.

Key words: metamaterial, enhanced transmission, topology optimization, arbitrary-shaped aperture

中图分类号: (Multilayers; superlattices; photonic structures; metamaterials)

78.67.Pt

42.25.Bs (Wave propagation, transmission and absorption)

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[J]. 中国物理B, 2021, 30(9): 97806-097806.

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

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

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