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Experimental study of anti-resonant behavior of material parameters in periodic and aperiodic composite materials
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10.1063/1.4809563
/content/aip/journal/jap/113/22/10.1063/1.4809563
http://aip.metastore.ingenta.com/content/aip/journal/jap/113/22/10.1063/1.4809563

Figures

Image of FIG. 1.
FIG. 1.

A single inclusion of the studied composite material. The inclusion responds to the exciting field (with electric field parallel to the -axis) like a small electric dipole. The dimensions are in [mm].

Image of FIG. 2.
FIG. 2.

Illustration of the composite material slab having the thickness of four unit cells along the -axis. An enlarged image of a single unit cell is shown on the bottom.

Image of FIG. 3.
FIG. 3.

Photographs of parts of the (a) periodic and (b) aperiodic FR4 boards. In total, there are over 5000 inclusions in each board. Four boards of each type were manufactured, with the aperiodic boards all having a different distribution of the inclusions in them.

Image of FIG. 4.
FIG. 4.

Periodic and aperiodic samples (aperiodicity in the direction).

Image of FIG. 5.
FIG. 5.

Photograph of the measurement setup at the Microwaves and Radar Institute of DLR.

Image of FIG. 6.
FIG. 6.

Results for the periodic sample. (a) S-parameters. (b) Refractive index. (c) Relative permittivity. (d) Relative permeability. The grey vertical lines show the frequency band inside which the experimental scattering parameter data are omitted in the parameter extraction procedure due to a stopband.

Image of FIG. 7.
FIG. 7.

Results for the aperiodic samples with aperiodicity only in the longitudinal direction. (a) S-parameters (sample #1). (b) Refractive index (sample #1). (c) Relative permittivity (sample #1). (d) Relative permeability (sample #1). (e) Imaginary part of relative permittivity (all samples). (f) Imaginary part of relative permeability (all samples). The grey vertical lines show the frequency band inside which the experimental scattering parameter data are omitted in the parameter extraction procedure due to a stopband.

Image of FIG. 8.
FIG. 8.

Results for the fully aperiodic samples (note that the numerical results correspond to the periodic sample, as the fully aperiodic samples are not feasible to analyze numerically). (a) S-parameters (sample #1). (b) Refractive index (sample #1). (c) Relative permittivity (sample #1). (d) Relative permeability (sample #1). (e) Imaginary part of relative permittivity (all samples). (f) Imaginary part of relative permeability (all samples). The grey vertical lines show the frequency band inside which the experimental scattering parameter data are omitted in the parameter extraction procedure due to a stopband.

Tables

Generic image for table
Table I.

Variations in unit cell positions along the direction.

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/content/aip/journal/jap/113/22/10.1063/1.4809563
2013-06-11
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Experimental study of anti-resonant behavior of material parameters in periodic and aperiodic composite materials
http://aip.metastore.ingenta.com/content/aip/journal/jap/113/22/10.1063/1.4809563
10.1063/1.4809563
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