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Local self-uniformity in photonic networks

Steven R. Sellers,W. Man,Shervin Sahba,Marian Florescu

Published 2017 in Nature Communications

ABSTRACT

The interaction of a material with light is intimately related to its wavelength-scale structure. Simple connections between structure and optical response empower us with essential intuition to engineer complex optical functionalities. Here we develop local self-uniformity (LSU) as a measure of a random network’s internal structural similarity, ranking networks on a continuous scale from crystalline, through glassy intermediate states, to chaotic configurations. We demonstrate that complete photonic bandgap structures possess substantial LSU and validate LSU’s importance in gap formation through design of amorphous gyroid structures. Amorphous gyroid samples are fabricated via three-dimensional ceramic printing and the bandgaps experimentally verified. We explore also the wing-scale structuring in the butterfly Pseudolycaena marsyas and show that it possesses substantial amorphous gyroid character, demonstrating the subtle order achieved by evolutionary optimization and the possibility of an amorphous gyroid’s self-assembly. The interaction between photonic bandgap materials and light is largely determined by the wavelength-scale material structure. Here, Sellerset al. develop a new metric of network structural order and demonstrate its connection to the photonic bandgap of an amorphous gyroid network.

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