Volume 25, Issue 1
Developing Finite Element Methods for Simulating Transformation Optics Devices with Metamaterials

Wei Yang, Jichun Li, Yungqing Huang & Bin He

Commun. Comput. Phys., 25 (2019), pp. 135-154.

Published online: 2018-09

Preview Full PDF 671 1303
Export citation
  • Abstract

In this paper, we first develop the mathematical modeling equations for wave propagation in several transformation optics devices, including electromagnetic concentrator, rotator and splitter. Then we propose the corresponding finite element time-domain methods for simulating wave propagation in these transformation optics devices. We implement the proposed algorithms and our numerical results demonstrate the effectiveness of our modeling equations. To our best knowledge, this is the first work on time-domain finite element simulation carried out for the electromagnetic concentrator, rotator and splitter.

  • Keywords

Maxwell’s equations finite element time-domain methods edge elements transformation optics.

  • AMS Subject Headings

78M10 65N30 65F10 78-08

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • References
  • Hide All
    View All

@Article{CiCP-25-135, author = {Wei Yang, Jichun Li, Yungqing Huang and Bin He}, title = {Developing Finite Element Methods for Simulating Transformation Optics Devices with Metamaterials}, journal = {Communications in Computational Physics}, year = {2018}, volume = {25}, number = {1}, pages = {135--154}, abstract = {

In this paper, we first develop the mathematical modeling equations for wave propagation in several transformation optics devices, including electromagnetic concentrator, rotator and splitter. Then we propose the corresponding finite element time-domain methods for simulating wave propagation in these transformation optics devices. We implement the proposed algorithms and our numerical results demonstrate the effectiveness of our modeling equations. To our best knowledge, this is the first work on time-domain finite element simulation carried out for the electromagnetic concentrator, rotator and splitter.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2017-0225}, url = {http://global-sci.org/intro/article_detail/cicp/12666.html} }
Copy to clipboard
The citation has been copied to your clipboard