Volume 13, Issue 1
FETD Study of the Wave Propagation in Chiral Metamaterials

Lei Yang, Fuhao Liu & Wei Yang

Adv. Appl. Math. Mech., 13 (2021), pp. 191-202.

Published online: 2020-10

Preview Full PDF 170 5606
Export citation
  • Abstract

In this paper, we propose a finite element time-domain (FETD) method for the Maxwell's equations in chiral metamaterials (CMMs). The time-domain model equations are constructed by the auxiliary differential equations (ADEs) method. The source excitation method entitled total-field and scattered-field (TF/SF) decomposition technique is applied to FETD method for the first time in simulating the propagation of electromagnetic wave in CMMs, based on which a unified ADE-FETD-UPML-TF/SF scheme is proposed to simulate the wave in CMMs. The following properties of CMMs can be observed successfully from the numerical experiments based on our method, i.e., the ability of the polarization rotation, and the negative phase velocity. The amplitude of reflected wave can effectively be controlled by the physical parameters of CMMs.

  • Keywords

Maxwell's equations, finite element time-domain (FETD), chiral metamaterials (CMMs).

  • AMS Subject Headings

78M10, 35Q61

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{AAMM-13-191, author = {Lei Yang , and Fuhao Liu , and Wei Yang , }, title = {FETD Study of the Wave Propagation in Chiral Metamaterials}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2020}, volume = {13}, number = {1}, pages = {191--202}, abstract = {

In this paper, we propose a finite element time-domain (FETD) method for the Maxwell's equations in chiral metamaterials (CMMs). The time-domain model equations are constructed by the auxiliary differential equations (ADEs) method. The source excitation method entitled total-field and scattered-field (TF/SF) decomposition technique is applied to FETD method for the first time in simulating the propagation of electromagnetic wave in CMMs, based on which a unified ADE-FETD-UPML-TF/SF scheme is proposed to simulate the wave in CMMs. The following properties of CMMs can be observed successfully from the numerical experiments based on our method, i.e., the ability of the polarization rotation, and the negative phase velocity. The amplitude of reflected wave can effectively be controlled by the physical parameters of CMMs.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2020-0165}, url = {http://global-sci.org/intro/article_detail/aamm/18347.html} }
TY - JOUR T1 - FETD Study of the Wave Propagation in Chiral Metamaterials AU - Lei Yang , AU - Fuhao Liu , AU - Wei Yang , JO - Advances in Applied Mathematics and Mechanics VL - 1 SP - 191 EP - 202 PY - 2020 DA - 2020/10 SN - 13 DO - http://doi.org/10.4208/aamm.OA-2020-0165 UR - https://global-sci.org/intro/article_detail/aamm/18347.html KW - Maxwell's equations, finite element time-domain (FETD), chiral metamaterials (CMMs). AB -

In this paper, we propose a finite element time-domain (FETD) method for the Maxwell's equations in chiral metamaterials (CMMs). The time-domain model equations are constructed by the auxiliary differential equations (ADEs) method. The source excitation method entitled total-field and scattered-field (TF/SF) decomposition technique is applied to FETD method for the first time in simulating the propagation of electromagnetic wave in CMMs, based on which a unified ADE-FETD-UPML-TF/SF scheme is proposed to simulate the wave in CMMs. The following properties of CMMs can be observed successfully from the numerical experiments based on our method, i.e., the ability of the polarization rotation, and the negative phase velocity. The amplitude of reflected wave can effectively be controlled by the physical parameters of CMMs.

Lei Yang, Fuhao Liu & Wei Yang. (2020). FETD Study of the Wave Propagation in Chiral Metamaterials. Advances in Applied Mathematics and Mechanics. 13 (1). 191-202. doi:10.4208/aamm.OA-2020-0165
Copy to clipboard
The citation has been copied to your clipboard