Abstract
Materials in nature demonstrate certain spectral shapes in terms of their material properties. Since successful experimental demonstrations in 2000, metamaterials have provided a means to engineer materials with desired spectral shapes for their material properties. Computational tools are employed in two different aspects for metamaterial modeling: 1. Mircoscale unit cell analysis to derive and possibly optimize material's spectral response; 2. macroscale to analyze their interaction with conventional material. We compare two different approaches of Time-Domain (TD) and Frequency Domain (FD) methods for metamaterial applications. Finally, we discuss advantages of the TD method of Spacetime Discontinuous Galerkin finite element method (FEM) for spectral analysis of metamaterials.
Highlights
We present the novel spectral properties of metamaterials, discuss their highly multiscale and rich solution features, followed by challenges in their computational modeling
(Schurig et al 2006a) Science 314, 977
Summary
Most TDs, e.g. implicit method pose a global coupling. 3. Most TDs, e.g. implicit method pose a global coupling. 3. Time integration problems from multiscale domains:. Negative permittivity (Schurig et al 2006a), permeability (Shelby et al 2001), or both (negative index of refraction: Smith et al 2000) for electromagnetics. Numerical methods for spectral analysis partially alleviate the problem and are generally limited to low orders
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