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
File Format
Degree Grantor
University of Nevada, Las Vegas
Language
English
Repository Citation
Elander, Valjean Elizabeth, "Mathematical modeling of metamaterials" (2011). UNLV Theses, Dissertations, Professional Papers, and Capstones. 1019.
http://dx.doi.org/10.34917/2362232
Rights
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