Title

Mathematical and Numerical Study of Wave Propagation in Negative-Index Materials

Document Type

Article

Publication Date

8-14-2008

Publication Title

Computer Methods in Applied Mechanics and Engineering

Volume

197

Issue

45-48

First page number:

3976

Last page number:

3987

Abstract

In this paper, we develop a Crank–Nicolson mixed finite element method for modeling wave propagation in negative-index materials (NIMs). The NIMs model is formed as a time-dependent system involving four dependent vector variables: the electric and magnetic fields, and the induced electric and magnetic currents. Optimal error estimates for all four variables are proved for Nédélec edge elements. Numerical examples are presented to show the exotic properties for wave propagation in NIMs.

Keywords

Double negative metamaterials; Electric currents; Electric fields; Electromagnetic waves; Finite element method; Magnetic fields; Maxwell equations; Maxwell’s equations; Metamaterials; Mixed finite element method; Negative-index materials; Negative refractive index

Disciplines

Electromagnetics and Photonics | Engineering | Engineering Physics | Mathematics | Mechanical Engineering | Numerical Analysis and Computation | Partial Differential Equations

Language

English

Permissions

Use Find in Your Library, contact the author, or interlibrary loan to garner a copy of the item. Publisher policy does not allow archiving the final published version. If a post-print (author's peer-reviewed manuscript) is allowed and available, or publisher policy changes, the item will be deposited.

Identifier

DOI: http://dx.doi.org/10.1016/j.cma.2008.03.017

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