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Local self-uniformity in photonic networks
Steven R Sellers1, Weining Man2, Shervin Sahba2
1Advanced Technology Institute and Department of Physics, University of Surrey, Guildford GU2 7XH, UK.
Local self-uniformity (LSU) quantifies structural similarity in random networks, revealing a link between LSU and photonic bandgaps. This measure aids in designing and verifying light-manipulating structures, from synthetic materials to butterfly wings.
Area of Science:
- Photonics and Materials Science
- Biomimicry and Structural Coloration
Background:
- Material's optical response is dictated by its wavelength-scale structure.
- Understanding structure-property relationships is key to engineering optical functionalities.
Purpose of the Study:
- Introduce local self-uniformity (LSU) as a metric for structural similarity in random networks.
- Establish the correlation between LSU and the formation of complete photonic bandgaps.
- Investigate the presence of LSU and amorphous gyroid structures in natural systems.
Main Methods:
- Developed local self-uniformity (LSU) to quantify internal structural similarity.
- Designed amorphous gyroid structures to validate LSU's role in photonic bandgap formation.
- Fabricated 3D ceramic samples using additive manufacturing and experimentally verified bandgaps.
Main Results:
- Demonstrated that complete photonic bandgap structures exhibit significant LSU.
- Validated LSU's importance in photonic bandgap formation through designed amorphous gyroid structures.
- Identified substantial amorphous gyroid character in the wing-scale structures of the butterfly Pseudolycaena marsyas.
Conclusions:
- Local self-uniformity (LSU) is a crucial parameter for understanding and designing photonic bandgap structures.
- Amorphous gyroid structures, characterized by high LSU, are relevant in both synthetic and natural optical systems.
- Evolutionary processes can lead to subtle structural order, mimicking engineered designs, as seen in butterfly wings.
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