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

  title={Evolving random fractal Cantor superlattices for the infrared using a genetic algorithm},
  author={Jeremy A. Bossard and Lan Lin and Douglas H. Werner},
  journal={Journal of the Royal Society Interface},
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… 
Complex photonic structures in nature: from order to disorder
Structural colours arise from the interaction of visible light with nano-structured materials. The occurrence of such structures in nature has been known for over a century, but it is only in the
Photonics in Nature: From Order to Disorder
This chapter reviews and attempts to classify structurally coloured organisms, highlighting the influence that disorder has on their visual appearance and showcases how photonic systems are capable of obtaining optical properties where disorder seems to be highly optimized, indicating that disorder is important for obtaining complex visual effects in natural systems.
Predictive Analysis of Economic Chaotic Time Series Based on Chaotic Genetics Combined with Fuzzy Decision Algorithm
The study results show that the algorithm of chaotic genetics combined with fuzzy decision-making can dynamically adjust chaotic mutation operators and summarize fussy expert experiences, and can be used to analyze and predict the complex economic chaotic time series.
Unexpected Patterns Generated while Attempting the Design of an Algorithm for Generating Natural Fractal Objects Using Evolutionary Computation
This paper presents results and observations from initial experiments with an aim to implement Evolutionary Computation to generate realistic fractal objects. The target fractals are both regular and
Invited Article: Bragg stacks with tailored disorder create brilliant whiteness
The scales of white beetles strongly scatter light within a thin disordered network of chitin filaments. There is no comparable artificial material achieving such a high scat- tering strength
Exploring natural palm fiber’s mechanical performance using multi-scale fractal structure simulation
Palm fiber, a type of natural multicellular fiber, exhibits distinct mechanical properties, such as excellent elasticity, higher fracture energy, and desirable stretch ability. To reveal the
The Fractal Artistic Design Based on Interactive Genetic Algorithm
The principle theory and the mathematical procedure of the application of interactive genetic algorithm in fractal artistic design are studied, which could support the faster and better define on the requirement of user.
Design of bioinspired chirped reflectors using a genetic algorithm
Inspired by the multilayer structure of the cuticle of some gold beetles whose shell exhibits broadband reflection in the visible wavelength range, we numerically analyzed irregularly chirped
The ocelli of Archaeognatha (Hexapoda): functional morphology, pigment migration and chemical nature of the reflective tapetum
The ocelli of the jumping bristletail Machilis hrabei have a reflective tapetum containing xanthine crystals, which has a dynamic range of approximately 4 log units and is maximally sensitive to green light.


Reflection and transmission properties of polyadic fractal superlattices are formulated, solved analytically, and characterized for variations in fractal dimension, lacunarity, number of gaps, stage
An Autopolyploidy-Based Genetic Algorithm for Enhanced Evolution of Linear Polyfractal Arrays
A type of nature-based design process that applies a specially formulated genetic algorithm (GA) technique to evolve optimal polyfractal array layouts that maximizes the efficiency of the GAs.
Chaos and fractals - new frontiers of science
This book discusses Fractal Image Compression, the Causality Principle, Deterministic Laws and Chaos, and the Backbone of Fractals.
The term fractal usually refers to sets which, in some sense, have a self-similar structure. Already in the seventies of the last century Mandelbrot (1982) made a compelling case for the importance
Correction to ‘Evolving random fractal Cantor superlattices for the infrared using a genetic algorithm’
This work was supported by NSF MRSEC under grant no.
Transmission properties of perturbed optical Cantor multilayers
Fractal multilayers of two distinct dielectric materials are structures exhibiting stop bands and transmission peaks in their electromagnetic response. In this work we analyze how the transmission
Disordered animal multilayer reflectors and the localization of light
It is demonstrated that Anderson localization provides a general theoretical framework to explain the common coherent interference and optical properties of these biological reflectors and shows how the polarization properties of reflection can be controlled within guanine–cytoplasm reflectors, with an interplay of birefringence and thickness disorder explaining the origin of broadband polarization-insensitive reflectivity.
Chaos and fractals, new frontiers of science (2nd edn), by H.-O. Peitgen, H. Jurgens and D. Saupe. Pp. 864. 2004. £54.00 (hbk). ISBN 0 387 20229 3 (Springer).
One of the authors (GAY) admits, in the introduction, to an interest in the bootstrap approach; the other (RLS) has contributed to the Bayesian literature. They are to be congratulated on having
Reflection from fractal multilayers.
A new exact self-similar algorithm is developed that provides the reflection and transmission coefficients for hundreds or thousands, or more, of fractally distributed layers with extreme economy when compared with traditional approaches.
A geological history of reflecting optics
  • A. Parker
  • Physics
    Journal of The Royal Society Interface
  • 2005
The aim of this article is to reveal the diversity of reflecting optics in nature, introducing the first appearance of some reflector types as they appear in the fossil record as it stands and backdating others in geological time through evolutionary analyses.