Improved Analysis and Simulation of a Time-Domain Carpet Cloak Model

Document Type

Article

Publication Date

2-17-2018

Publication Title

Computational Methods in Applied Mathematics

Volume

19

Issue

2

First page number:

359

Last page number:

378

Abstract

In this paper, we first give a quick review of the current status of the invisibility cloak with metamaterials. Then we focus on the carpet cloak model and establish an elegant stability different from our previous work. A similar discrete stability is also proved for a new FETD scheme. Then we prove the optimal convergence for this new scheme. Finally, we implement a new discontinuous Galerkin method and demonstrate its effectiveness in simulating the carpet cloaking phenomena.

Keywords

Invisibility cloak; Maxwell's Equations; Discontinuous Galerkin method; Metamaterials

Disciplines

Applied Mathematics

Language

English

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