Effective Permittivity and Permeability of Triply Periodic Minimal Surface Structures

被引:0
作者
He, Wei-Jia [1 ]
Yuan, Xiao-Wei [1 ]
Jing, Jia-Tong [1 ]
Wu, Bi-Yi [1 ]
Yang, Ming-Lin [1 ]
Sheng, Xin-Qing [1 ]
机构
[1] Beijing Inst Technol, Sch Integrated Circuits & Elect, Inst Radio Frequency Technol & Software, Beijing 100081, Peoples R China
基金
中国博士后科学基金;
关键词
Permittivity; Ceramics; Permeability; Tensors; Lattices; Antennas and propagation; Surface treatment; Periodic structures; Numerical models; Finite element analysis; Effective permittivity; electromagnetic scattering; homogenization; triply periodic minimal surface (TPMS) structures; DOMAIN DECOMPOSITION APPROACH; INTEGRAL-EQUATION METHOD; FE-BI-MLFMA; ELECTROMAGNETIC SCATTERING; PRECONDITIONER; FABRICATION; FINITE; GRAINS; THIN;
D O I
10.1109/TAP.2024.3481639
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This communication investigates a simple and efficient approach for evaluating the effective permittivity of triply periodic minimal surface (TPMS) structures. In the proposed approach, each unit cell of the TPMS is first uniformly divided into many thin layers along the parallel and vertical directions of the incident electric field, forming the parallel and the series two models. Each layer can be homogenized as a diagonal anisotropic medium using the Bruggeman (BM) effective medium theory. Then the transversal and the longitudinal entries of the effective permittivity tensors for a unit cell are obtained using the parallel and the series equivalent formula, respectively. Finally, the calculated permittivity tensor entries are averaged to further equivalent the TPMS structure as a uniform isotropic medium. Numerical examples are presented to study and validate the effectiveness of the proposed approach.
引用
收藏
页码:9546 / 9551
页数:6
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