Developing Finite Element Methods for Simulating Transformation Optics Devices with Metamaterials

Developing Finite Element Methods for Simulating Transformation Optics Devices with Metamaterials

Year:    2019

Communications in Computational Physics, Vol. 25 (2019), Iss. 1 : pp. 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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2017-0225

Communications in Computational Physics, Vol. 25 (2019), Iss. 1 : pp. 135–154

Published online:    2019-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    20

Keywords:    Maxwell's equations finite element time-domain methods edge elements transformation optics.