To read the full version of this content please select one of the options below:

Time domain finite element method for metamaterial-based low frequency near field systems

Zhi Gong (Department of Electrical Engineering, Zhejiang University, Hangzhou, China)
Shiyou Yang (Department of Electrical Engineering, Zhejiang University, Hangzhou, China)

COMPEL - The international journal for computation and mathematics in electrical and electronic engineering

ISSN: 0332-1649

Article publication date: 21 May 2021

Issue publication date: 20 August 2021

174

Abstract

Purpose

The purpose of this work is to develop a computational paradigm for performance analysis of low-frequency electromagnetic devices containing both magnetic metamaterials (MTMs) and natural media.

Design/methodology/approach

A time domain finite element method (TDFEM) is proposed. The electromagnetic properties of the MTMs are modeled by a nonstandard Lorentz model. The time domain governing equation is derived by converting the one from the frequency domain into the time domain based on the Laplace transform and convolution. The backward difference is used for the temporal discretization. An auxiliary variable is introduced to derive the recursive formula.

Findings

The numerical results show good agreements between the time domain solutions and the frequency domain solutions. The error convergence trajectory of the proposed TDFEM conforms to the first-order accuracy.

Originality/value

To the best knowledge of the authors, the presented work is the first one focusing on TDFEMs for low-frequency near fields computations of MTMs. Consequently, the proposed TDFEM greatly benefits the future explorations and performance evaluations of MTM-based near field devices and systems in low-frequency electrical and electronic engineering.

Keywords

Acknowledgements

This work is supported by the National Natural Science Foundation of China (NNSFC) under Grant No. 51677163.

Citation

Gong, Z. and Yang, S. (2021), "Time domain finite element method for metamaterial-based low frequency near field systems", COMPEL - The international journal for computation and mathematics in electrical and electronic engineering, Vol. 40 No. 3, pp. 475-487. https://doi.org/10.1108/COMPEL-09-2020-0302

Publisher

:

Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

Related articles