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

Wei Yang, Jichun Li, Yungqing Huang & Bin He

DOI: 10.4208/cicp.OA-2017-0225

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

Published online: 2018-09

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  • 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

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@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} }
TY - JOUR T1 - Developing Finite Element Methods for Simulating Transformation Optics Devices with Metamaterials AU - Wei Yang, Jichun Li, Yungqing Huang & Bin He JO - Communications in Computational Physics VL - 1 SP - 135 EP - 154 PY - 2018 DA - 2018/09 SN - 25 DO - http://doi.org/10.4208/cicp.OA-2017-0225 UR - https://global-sci.org/intro/article_detail/cicp/12666.html KW - Maxwell's equations, finite element time-domain methods, edge elements, transformation optics. AB -

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.

Wei Yang, Jichun Li, Yungqing Huang and Bin He. (2018). Developing Finite Element Methods for Simulating Transformation Optics Devices with Metamaterials. Communications in Computational Physics. 25 (1). 135-154. doi:10.4208/cicp.OA-2017-0225
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