Doctor of Philosophy in Mathematical Sciences
First Committee Member
Jichun Li, Chair
Second Committee Member
Third Committee Member
Fourth Committee Member
Fifth Committee Member
Graduate Faculty Representative
Number of Pages
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.
Cloaking; Drude; Electromagnetics; Electromagnetism; Mathematical models; MATLAB; Metamaterials; Modeling
Applied Mathematics | Electromagnetics and Photonics
Elander, Valjean Elizabeth, "Mathematical modeling of metamaterials" (2011). UNLV Theses, Dissertations, Professional Papers, and Capstones. 1019.