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Fractal nanoparticle plasmonics: the Cayley tree
Samuel Gottheim, Hui Zhang1, Alexander O Govorov1
1§Department of Physics and Astronomy, Ohio University, Athens, Ohio 45701, United States.
ACS Nano
|March 3, 2015
Summary
Fractal nanostructures, like Cayley trees, can be engineered to control light interactions. Increasing fractal complexity broadens and enriches their optical properties for advanced material design.
Area of Science:
- Materials Science
- Nanotechnology
- Optics
Background:
- Ongoing research focuses on engineering materials with specific optical properties.
- Fractal nanostructures are known for their broad optical response and potential in spectrum-spanning optical effects.
Purpose of the Study:
- To investigate the role of self-similarity in fractal geometry for designing plasmon line shapes.
- To understand how fractal order influences the development of multimodal plasmon spectra.
Main Methods:
- Computational modeling and fabrication of Cayley tree nanostructures with increasing fractal order (N).
- Analysis of the relationship between fractal order and plasmon spectrum complexity.
Main Results:
- The multimodal plasmon spectrum develops with increasing fractal order.
- Higher fractal orders lead to increased modes and degeneracies, corresponding to plasmon oscillations at various length scales.
- Fractals with high N exhibit broad, multipeaked spectra due to high degeneracy numbers.
Conclusions:
- Fractal geometry, specifically self-similarity, is a key principle for designing complex plasmon line shapes.
- Cayley trees exemplify a fractal-based approach for creating materials with highly tailored optical properties.
