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The influence of Hausdorff dimension on plasmonic antennas with Pascal’s triangle geometry
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10.1063/1.3605570
/content/aip/journal/apl/98/26/10.1063/1.3605570
http://aip.metastore.ingenta.com/content/aip/journal/apl/98/26/10.1063/1.3605570
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) (a) Sierpiński triangle basis shape and (b)-(d) first three iterations of Sierpiński triangle. (e)-(h) Modulus M = 2, 3, 4, and 5 Pascal’s triangles, respectively. (i) The relationship between modulus and Hausdorff dimension for a Pascal triangle.

Image of FIG. 2.
FIG. 2.

(Color online) Schematic representation of (a) bowtie antenna and bowtie antennas with Pascal’s triangle modulus (b) M = 2, (c) M = 3, and (d) M = 4 geometry.

Image of FIG. 3.
FIG. 3.

(Color online) Broadband enhancement factor for a bowtie antenna with L = 475 nm, along with M = {3,4,5,6} antennas with L = 475 nm.

Image of FIG. 4.
FIG. 4.

(Color online) Logarithmic scale intensity distributions for (a) M=3, (c) M = 4, and (e) M = 5 antennas. Intensity distributions are normalized to the input excitation. Directivity plots for (b) M = 3, (d) M = 4, and (f) M = 5 antennas. Directivity plots of a bowtie antenna are included for reference.

Image of FIG. 5.
FIG. 5.

(Color online) (a) Resonant wavelength versus modulus for L = 475 nm (constant). A parabolic trend line is included. (b) Resonant wavelength versus antenna length for M = 4 (constant). The trend for a bowtie antenna is shown for comparison. (c) Paraboloid surface-fit to resonant wavelengths of 55 antennas that were simulated.

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/content/aip/journal/apl/98/26/10.1063/1.3605570
2011-06-29
2014-04-23
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: The influence of Hausdorff dimension on plasmonic antennas with Pascal’s triangle geometry
http://aip.metastore.ingenta.com/content/aip/journal/apl/98/26/10.1063/1.3605570
10.1063/1.3605570
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