Award Date

5-2011

Degree Type

Dissertation

Degree Name

Doctor of Philosophy in Mathematical Sciences

Department

Mathematical Sciences

First Committee Member

Jichun Li, Chair

Second Committee Member

Michael Marcozzi

Third Committee Member

Monika Neda

Fourth Committee Member

Pengtao Sun

Fifth Committee Member

Hongtao Yang

Graduate Faculty Representative

Yitung Chen

Number of Pages

111

Abstract

Metamaterials are artificially structured nano materials with negative refraction index. The successful construction of such metamaterials in 2000 triggered a great interest in study of metamaterials by researchers from different areas. The discovery of metamaterials opened a wide potential for applications in diverse areas such as cloaking, sub-wavelength imaging, solar cell design and antennas.

In this thesis, we investigate the most popular Drude metamaterial model. More specifically, we first present a brief overview of metamaterials and their potential applications, then we discuss the well-posedness of this model, and develop several numerical schemes to solve it. We implement our schemes using MATLAB, and demonstrate their effectiveness through numerical simulations of the negative refraction and cloaking phenomena.

Keywords

Cloaking; Drude; Electromagnetics; Electromagnetism; Mathematical models; MATLAB; Metamaterials; Modeling

Disciplines

Applied Mathematics | Electromagnetics and Photonics

Language

English


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