1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
Effects of parameter variations on negative effective constitutive parameters of non-metallic metamaterials
Rent:
Rent this article for
USD
10.1063/1.4790714
/content/aip/journal/jap/113/6/10.1063/1.4790714
http://aip.metastore.ingenta.com/content/aip/journal/jap/113/6/10.1063/1.4790714

Figures

Image of FIG. 1.
FIG. 1.

An array of identical spheres and unit cell geometry.

Image of FIG. 2.
FIG. 2.

Two-sphere array and unit cell geometry.

Image of FIG. 3.
FIG. 3.

Comparison of dispersion diagrams for an array of identical spheres, Fig. 1 , obtained by formulas presented here, Eqs. (3) , (5) , and (30) , with that calculated by MPB. 35 The 25 lowest bands computed by MPB are shown. In this calculation, , and a/d = 0.2672.

Image of FIG. 4.
FIG. 4.

Comparison of dispersion diagrams for a two-sphere array, Fig. 2 , obtained by formulas presented here, Eqs. (3) , (19) , and (30) , with that calculated by MPB. 35 The 60 lowest bands computed by MPB are shown. In this calculation, , and .

Image of FIG. 5.
FIG. 5.

Comparison of variabilities of effective constitutive parameters in the vicinity of the DNG band ( ) of a metamaterial consisting of an array of identical spheres, Fig. 1 , computed by the formula presented herein Eq. (6) , with those calculated by expressions developed by Mathematica. In this calculation, , and a/d = 0.45; with , and .

Image of FIG. 6.
FIG. 6.

Comparisons of variabilities of effective relative permittivity (a), and permeability (b), in the vicinity of the DNG band ( ) of a metamaterial consisting of a two-sphere array, Fig. 2 , computed by the formula presented herein Eq. (6) , with those calculated by expressions developed by Mathematica. In this calculation, , and with , and .

Image of FIG. 7.
FIG. 7.

Variabilities of effective relative permittivity in the vicinity of the DNG band ( ) of a non-metallic metamaterial consisting of a cubic array of identical magnetodielectric spheres, Fig. 1 , in each calculation, Table I . Parameters of this array are as in Fig. 5 . The equivalent plot for is not shown here since the only difference is that the effects of variations in and those of variations in are interchanged.

Image of FIG. 8.
FIG. 8.

Ideal values and variation ranges of the effective relative permittivity and permeability for a non-metallic metamaterial consisting of a cubic array of identical magnetodielectric spheres, Fig. 1 . Dashed line: ideal values of and ; dark, medium, and light shaded areas: variation ranges for , 3%, and 5% with , and . Other parameters are as in Fig. 5 .

Image of FIG. 9.
FIG. 9.

Variabilities of effective relative permittivity (a), and permeability (b), in the vicinity of the DNG band ( ) of a non-metallic metamaterial consisting of a cubic array of dielectric spheres with equal radius but two different permittivities, Fig. 2 , in each calculation, Table II . Parameters of this array are as in Fig. 6 .

Image of FIG. 10.
FIG. 10.

Ideal values and variation ranges of the effective relative permittivity (a), and permeability (b), for a non-metallic metamaterial consisting of a cubic array of dielectric spheres with equal radius but two different permittivities, Fig. 2 , with six combinations of parameter variations. Dashed line: ideal values of (a), and (b); dark, medium, and light shaded areas: variation ranges for , 0.03%, and 0.1% (a), 1.2%, 3%, and 5% (b) with , and . Other parameters are as in Fig. 6 .

Image of FIG. 11.
FIG. 11.

Variabilities of effective relative permittivity (a), and permeability (b), in the vicinity of the DNG band ( ) of a non-metallic metamaterial consisting of a cubic array of dielectric spheres with equal permittivity but two different radii, Fig. 2 , in each calculation, Table II . In these calculations, , and .

Image of FIG. 12.
FIG. 12.

Ideal values and variation ranges of the effective relative permittivity (a), and permeability (b), for a non-metallic metamaterial consisting of a cubic array of dielectric spheres with equal permittivity but two different radii, Fig. 2 , with six combinations of parameter variations. Dashed line: ideal values of (a), and (b); dark, medium, and light shaded areas: variation ranges for , 0.03%, and 0.1% (a), 0.4%, 1%, and 5% (b) with , and . Other parameters are as in Fig. 11 .

Tables

Generic image for table
Table I.

The parameter with 5% variation (while others have no variation) in each calculation of variability of effective constitutive parameters of a non-metallic metamaterial consisting of an array of identical spheres, Fig. 1 .

Generic image for table
Table II.

The parameter with 5% variation (while others have no variation) in each calculation of variabilities of effective constitutive parameters of a non-metallic metamaterial consisting of a two-sphere array, Fig. 2 .

Loading

Article metrics loading...

/content/aip/journal/jap/113/6/10.1063/1.4790714
2013-02-08
2014-04-20
Loading

Full text loading...

This is a required field
Please enter a valid email address
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Effects of parameter variations on negative effective constitutive parameters of non-metallic metamaterials
http://aip.metastore.ingenta.com/content/aip/journal/jap/113/6/10.1063/1.4790714
10.1063/1.4790714
SEARCH_EXPAND_ITEM