Evolving random fractal Cantor superlattices for the infrared using a genetic algorithm

Journal of the Royal Society, Interface
Jeremy A BossardDouglas H Werner

Abstract

Ordered and chaotic superlattices have been identified in Nature that give rise to a variety of colours reflected by the skin of various organisms. In particular, organisms such as silvery fish possess superlattices that reflect a broad range of light from the visible to the UV. Such superlattices have previously been identified as 'chaotic', but we propose that apparent 'chaotic' natural structures, which have been previously modelled as completely random structures, should have an underlying fractal geometry. Fractal geometry, often described as the geometry of Nature, can be used to mimic structures found in Nature, but deterministic fractals produce structures that are too 'perfect' to appear natural. Introducing variability into fractals produces structures that appear more natural. We suggest that the 'chaotic' (purely random) superlattices identified in Nature are more accurately modelled by multi-generator fractals. Furthermore, we introduce fractal random Cantor bars as a candidate for generating both ordered and 'chaotic' superlattices, such as the ones found in silvery fish. A genetic algorithm is used to evolve optimal fractal random Cantor bars with multiple generators targeting several desired optical functions in...Continue Reading

References

Jul 20, 2006·Journal of the Royal Society, Interface·Andrew Richard Parker
Oct 3, 2005·Optics Express·Takashi Okamoto, Akira Fukuyama
Dec 15, 1990·Optics Letters·D L Jaggard, X Sun
Feb 18, 2011·Journal of the Royal Society, Interface·Amanda L HoltDaniel E Morse
Oct 24, 2014·Journal of the Royal Society, Interface·T M JordanN W Roberts
Feb 13, 2015·Journal of the Royal Society, Interface·Shulei ZhaoMolly E Cummings

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Citations

Mar 27, 2018··Antonio ScaglioneVincenzo Fiumara
Apr 18, 2017··Francesco ChiadiniVincenzo Fiumara

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Methods Mentioned

BETA
Transmission electron microscopy

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