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Appl. Sci. 2018, 8(8), 1310;

Topological Network Properties of Fractal-Like Metallic Nanoparticle Patterns and Their Effects on Optical Resonances

Department of Electronic Systems Engineering, The University of Shiga Prefecture, Shiga 522-8533, Japan
Department of Electronic Science and Engineering, Kyoto University, Kyoto 615-8510, Japan
Author to whom correspondence should be addressed.
Received: 7 July 2018 / Revised: 30 July 2018 / Accepted: 31 July 2018 / Published: 7 August 2018
(This article belongs to the Special Issue Photonic Metamaterials)
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Fractal-like nanoparticle two-dimensional patterns forming in diffusion-limited aggregation show variant spatial patterns. However, they have invariant statistical properties in their network topologies, even though their formation is completely in self-assembled processes. One of the outputs from these topological properties is optical resonances at invariant frequencies, which is a required feature of a metamaterial alternative. Fractal-like metallic patterns studied here in both experiments and theoretical models exhibit similar resonance frequencies in the infrared-ray range, and they depend on the unit length of nanoparticles composing arbitrary fractal-like structures. The scheme of analysis applied here using complex network theory does not only reveal the topological properties of the nanoparticle network, but points out their optical and possibly other physical potentials arising from their geometrical properties. View Full-Text
Keywords: fractal; complex network; nanoparticle; self-assembly; infrared rays fractal; complex network; nanoparticle; self-assembly; infrared rays

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).

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Kihara, N.; Sakai, O. Topological Network Properties of Fractal-Like Metallic Nanoparticle Patterns and Their Effects on Optical Resonances. Appl. Sci. 2018, 8, 1310.

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