Local self-uniformity in photonic networks

Sellers, Steven; Man, Weining; Sahba, Shervin; Florescu, Marian

doi:10.1038/ncomms14439

Cited by 63 publications

(62 citation statements)

References 66 publications

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“…In the same way, the maximum gap-midgapratioΔω/ω c among dielectric contrast 6-18 and fill factor0.1-0.18 is given to study the band-gap property of all the given PQCs. The results are compared in Fig.28and reveal the following information: (1) 10-fold PQC by five beams interference and 12-fold PQC show better ability to generate band-gaps than other structures; (2) 8-fold PQC, 10*-fold PQC by ten beams interference, 14-fold PQC and 18-fold PQC take the second place; (3) Band-gap in 22-fold and 26-fold PQCs is small because these structures are not locally self-similar, which were known to be critical conditions for PBG formation [108]. It can be said that higher rotational symmetry PQC formed by interference is hard to produce band-gap; (4) For the 10-fold and 10*-fold PQCs, the former possesses better self-similarity and wider band-gap than the latter.…”

Section: Band-gap Of Multi-fold Complex Pqcs[107]mentioning

confidence: 99%

Generalized Dynamics of Soft-Matter Quasicrystals

Tang¹

2017

Springer Series in Materials Science

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This article provides a detailed review on the generalized dynamics of soft-matter quasicrystals developed recent years. Comparing to solid quasicrystals consisted mainly with metallic alloys, soft-matter quasicrystals have been observed in liquid crystals, polymers, colloids, nanoparticles and surfactants, which indicates quite different formation mechanism. Based onLandau-Anderson theory and group representation theory, we have studied the symmetry, symmetry breaking and elementary excitations for the observed and possible soft-matter quasicrystals. We further proposed one more elementary excitation -fluid phonon additional to the phonon and phason for solid quasicrystals, to quantitatively describe the dynamics of soft-matter quasicrystals. The general governing equations and the solutions of the dynamics evolution on the distribution, deformation and motion of the new phase are studied, which reveal quite distinguishing dynamic behaviour with those of conventional fluids and solid quasicrystals. Someapplications are introduced, which show this is an important field of new materials and materials science. 9

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Section: Band-gap Of Multi-fold Complex Pqcs[107]mentioning

confidence: 99%

Generalized Dynamics of Soft-Matter Quasicrystals

Tang¹

2017

Springer Series in Materials Science

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“…This question is motivated by the consideration that the optimization of the scattering strength requires an average distance between scatterers just above the wavelength of visible light (to avoid optical crowding) and the absence of periodic order (to avoid a photonic bandgap [25,26] ). An established example of such hidden correlations is "hyperuniformity," which refers to the anomalous suppression of density fluctuations at large length scales.…”

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confidence: 99%

Evolutionary‐Optimized Photonic Network Structure in White Beetle Wing Scales

et al. 2017

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Whiteness arises from the random scattering of incident light from disordered structures. [1] Opaque white materials have to contain a sufficiently large number of scatterers and therefore usually require thicker, material-rich nanostructures than structural color arising from the coherent interference of light. [2,3] In nature, bright white appearance arises from the dense arrays of pterin pigments in pierid butterflies, [4] guanine crystals in spiders, [5] or leucophore cells in the flexible skin of cuttlefish. [6] A striking example of such whiteness is found in the chitinous networks of white beetles, e.g., Lepidiota stigma and Cyphochilus sp. [7][8][9] Previous research investigating these beetle structures has shown that the chitinous network is one of the most strongly scattering materials in nature, and therefore the question arises whether this structure is evolutionary optimized for strong scattering while minimizing the Most studies of structural color in nature concern periodic arrays, which through the interference of light create color. The "color" white however relies on the multiple scattering of light within a randomly structured medium, which randomizes the direction and phase of incident light. Opaque white materials therefore must be much thicker than periodic structures. It is known that flying insects create "white" in extremely thin layers. This raises the question, whether evolution has optimized the wing scale morphology for white reflection at a minimum material use. This hypothesis is difficult to prove, since this requires the detailed knowledge of the scattering morphology combined with a suitable theoretical model. Here, a cryoptychographic X-ray tomography method is employed to obtain a full 3D structural dataset of the network morphology within a white beetle wing scale. By digitally manipulating this 3D representation, this study demonstrates that this morphology indeed provides the highest white retroreflection at the minimum use of material, and hence weight for the organism. Changing any of the network parameters (within the parameter space accessible by biological materials) either increases the weight, increases the thickness, or reduces reflectivity, providing clear evidence for the evolutionary optimization of this morphology. amount of employed material, thus reducing the weight of the organism. The brilliant white reflection from Cyphochilus beetles is assumed to be important for camouflage among white fungi and in a shady environment.In contrast to periodic photonic materials, for which the optical response is straightforward to calculate, the reflection of light from such disordered network morphologies requires a detailed knowledge of local geometry. [2,3,9,10] For these complex cases, the validity of the diffusion approximation is limited, since single scattering elements are difficult to be identified. [7] To fully understand the correlation between the structure and (optical) properties of complex materials, the detailed real-space structure in combination with a s...

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“…They drilled three sets of periodic holes at a 35.26° angle away from surface normal on a slab . Other types of 3D photonic structures have been generated since, that is, a layer‐by‐layer version of the diamond‐like structure and single‐diamond and single‐gyroid structures made by holographic lithography, direct laser writing, 3D printing, and so forth . The biological single‐framework structures can also be obtained by the replication of the biotemplates .…”

Section: Introductionmentioning

confidence: 99%

“…[36] Other types of 3D photonic structures have been generated since, that is, al ayer-by-layerv ersion of the diamond-like structure and single-diamonda nd single-gyroid structures made by holographic lithography,d irect laser writing, 3D printing, and so forth. [21,[37][38][39][40] Theb iological single-framework structures can also be obtained by the replication of the biotemplates. [24,41,42] Gan et al demonstrated the replication of biomimetic gyroid structures at size scales smallert han their natural counterparts using optical two-beam super-resolution lithography.…”

Section: Introductionmentioning

confidence: 99%

Fabrication of Photonic Bandgap Materials by Shifting Double Frameworks

Sheng

Mao

Han

et al. 2018

Chemistry A European J

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Biological organisms have evolved over millions of years to generate tremendously complex structures on a nanometer to micrometer scale. Among them, a range of three-dimensional (3D) biological photonic structures with minimal surface or constant mean curvature surfaces have been discovered in the wing scales of insects, attracting a great deal of interest because of their unique optical properties, such as structural color, antireflection, light collection, and photonic band gaps. Single-diamond and single-gyroid surface structures are considered to be excellent photonic crystals with complete band gaps. Although the corresponding bicontinuous architectures have been synthesized by self-assembly, single-framework structures are thermodynamically unfavorable and have been only achieved by physical fabrications and the alternating gyroid method. The production of materials derived from the thermodynamically stable double-framework structures provides a feasible solution for their chemical construction. This concept article highlights the significant progress in understanding 3D photonic structures by shifting double-frameworks to form low-symmetry structures, the physical properties of which can be greatly altered. Specifically, a complete photonic band gap can be achieved via a shifted double-diamond structure composed of materials with high dielectric contrast and high refractive index. We believe this concept will provide new insights in interdisciplinary research areas including the study of photonic structures, the self-assembly of amphiphilic molecules and the formation of biological architectures.

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Local self-uniformity in photonic networks

Cited by 63 publications

References 66 publications

Generalized Dynamics of Soft-Matter Quasicrystals

Generalized Dynamics of Soft-Matter Quasicrystals

Evolutionary‐Optimized Photonic Network Structure in White Beetle Wing Scales

Fabrication of Photonic Bandgap Materials by Shifting Double Frameworks

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