Developing finite element methods for simulating transformation optics devices with metamaterials

Document Type

Article

Publication Date

1-1-2019

Publication Title

Communications in Computational Physics

Volume

25

Issue

1

First page number:

135

Last page number:

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.

Keywords

Maxwell’s Equations; Finite Element Time-Domain Methods; Edge Elements; Transformation Optics

Disciplines

Civil and Environmental Engineering | Engineering

Language

English

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