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Full extraction methods to retrieve effective refractive index and parameters of a bianisotropic metamaterial based on material dispersion models
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10.1063/1.4752753
/content/aip/journal/jap/112/6/10.1063/1.4752753
http://aip.metastore.ingenta.com/content/aip/journal/jap/112/6/10.1063/1.4752753

Figures

Image of FIG. 1.
FIG. 1.

Geometry of a two-cell SRR-rod metamaterial slab with effective boundaries at new reference planes. For a single cell slab, the slab thickness is . For the two cells slab (two unit cells stacked in the direction), the slab thickness .

Image of FIG. 2.
FIG. 2.

(a) 2D density graphs of the original goal function defined in Ref. 15 with x,y axes denote searching range of L1s and L2s, respectively. (b) and (c) 2D density graphs of the proposed goal functions defined in Eqs. (11) and (12). (d)–(f) (1) graphs along diagonal and anti-diagonal direction of 2D density graphs of (a)–(c), respectively.

Image of FIG. 3.
FIG. 3.

Effective permittivities and permeabilities of the single and two-cell metamaterial slabs obtained by the different proposed methods are shown in (a), (c) and (b), (d), respectively. The solid lines represent the data obtained by the partial retrieval method, while the dashed lines represent the data obtained by the first full retrieval method.

Image of FIG. 4.
FIG. 4.

Effective permittivity of the single and two-cell MMs slabs obtained by the different proposed methods are plotted in (a) and (b), respectively.The dotted lines represent the data obtained by the second full retrieval method using the Drude model to describe .

Image of FIG. 5.
FIG. 5.

Effective permeability of the single and two-cell MMs slabs obtained by the different proposed methods are plotted in (a) and (b), respectively. The dotted lines represent the data obtained by the second full retrieval method using the Lorentz model to describe .

Image of FIG. 6.
FIG. 6.

Effective refractive indices of the single cell and two-cell MMs slab retrieved by different methods mentioned in the paper are plotted in (a) and (b), respectively.

Image of FIG. 7.
FIG. 7.

Effective impedances of the single cell and two-cell MMs slab retrieved by different methods mentioned in the paper are plotted in (a) and (b), respectively.

Image of FIG. 8.
FIG. 8.

The magnitude and phase of S-parameters for the single and two-cell MMs slabs retrieved by the different proposed methods along with the original S-parameters are plotted in (a), (b) and (c), (d), respectively. The thick solid lines represent the data obtained by the partial retrieval method, and the thin solid lines represent the data obtained by the original 3D numerical simulation results. The data obtained by the first and second full retriveal methods are, respectively, plotted in dashed and dotted lines.

Image of FIG. 9.
FIG. 9.

of the single and two-cell MMs slabs retrieved by different methods at different boundaries are plotted in (a) and (b), respectively.

Image of FIG. 10.
FIG. 10.

(a) of single and two-cell SRR-rod model 1 retrieved by different methods at effective boundaries set at reference planes shifted inward. (b)) of single and two-cell SRR-rod model 2 retrieved by different methods at effective boundaries set at reference planes shifted .

Tables

Generic image for table
Table I.

Retrieved Drude/Lorentz parameters of two models of single cell SRR-rod metamaterials.

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/content/aip/journal/jap/112/6/10.1063/1.4752753
2012-09-24
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Full extraction methods to retrieve effective refractive index and parameters of a bianisotropic metamaterial based on material dispersion models
http://aip.metastore.ingenta.com/content/aip/journal/jap/112/6/10.1063/1.4752753
10.1063/1.4752753
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