Complete photonic bandgaps in 12-fold symmetric quasicrystals

Zoorob, M.E.; Charlton, Martin D. B.; Parker, Geoffrey; Baumberg, Jeremy J.; Netti, M.C.

doi:10.1038/35008023

Cited by 507 publications

(289 citation statements)

References 23 publications

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“…Zoorob et al (2000) previously reported the fabrication and optical characterization of a 12-fold symmetric photonic quasi crystal exhibiting interesting optical effects. An SEM image of such a 12-fold symmetric planar waveguiding PC is shown in figure 6.…”

Section: Photonic Quasicrystalsmentioning

confidence: 99%

Highly engineered mesoporous structures for optical processing

Parker

Charlton

Zoorob³

et al. 2005

Phil. Trans. R. Soc. A.

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Arranging periodic, or quasi-periodic, regions of differing refractive index in one, two, or three dimensions can form a unique class of mesoporous structures. These structures are generally known as photonic crystals, or photonic quasicrystals, and they are the optical analogue of semiconducting materials. Whereas a semiconductor's band structure arises from the interaction of electron or hole waves with an arrangement of ion cores, the photonic crystal band structure results from the interaction of light waves with an arrangement of regions of differing refractive index.What makes photonic crystals highly attractive to the optical engineer is that we can actually place the regions of differing refractive index in a pattern specifically tailored to produce a given optical function, such as an extremely high dispersion, for example. That is, we can define the geometrical arrangement of the dielectric foam to provide us with the form of band structure we require for our optical functionality.In this paper, the optical properties and applications of these highly engineered mesoporous dielectrics will be discussed.

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Section: Photonic Quasicrystalsmentioning

confidence: 99%

Highly engineered mesoporous structures for optical processing

Parker

Charlton

Zoorob³

et al. 2005

Phil. Trans. R. Soc. A.

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show abstract

“…Owing to their high symmetry, two-dimensional (2D) quasicrystalline lattices are able to induce and widen the photonic bandgap 32 , preventing light within a range of wavelengths from propagating in any direction. More recently it was shown that light can be slowed down in a one-dimensional photonic quasicrystal that follows the Fibonacci sequence.…”

mentioning

confidence: 99%

Supramolecular dendritic liquid quasicrystals

Zeng

Ungar

Liu

et al. 2004

Nature

601

559

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“…Such hetero-epitactic overlayers are currently used in nanotechnology and understanding their growth mechanism is important for the development of new materials and devices. In comparison with crystals, quasicrystalline surfaces exhibit much larger structural and chemical complexity leading, for example, to unusual frictional 2 , catalytical 3 or optical properties 4,5 . Deposition of thin films on such substrates can lead to structures that may have typical quasicrystalline properties.…”

mentioning

confidence: 99%

Archimedean-like tiling on decagonal quasicrystalline surfaces

Mikhael

Roth

Helden

et al. 2008

Nature

202

195

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Monolayers on crystalline surfaces often form complex structures with physical and chemical properties that differ strongly from those of their bulk phases 1 . Such hetero-epitactic overlayers are currently used in nanotechnology and understanding their growth mechanism is important for the development of new materials and devices. In comparison with crystals, quasicrystalline surfaces exhibit much larger structural and chemical complexity leading, for example, to unusual frictional 2 , catalytical 3 or optical properties 4,5 . Deposition of thin films on such substrates can lead to structures that may have typical quasicrystalline properties. Recent experiments have indeed showed 5-fold symmetries in the diffraction pattern of metallic layers adsorbed on quasicrystals 6,7 . Here we report a real-space investigation of the phase behaviour of a colloidal monolayer interacting with a quasicrystalline decagonal substrate created by interfering five laser beams. We find a pseudomorphic phase that shows both crystalline and quasicrystalline structural properties. It can be described by an archimedean-like tiling 8,9 consisting of alternating rows of square and triangular tiles. The calculated diffraction pattern of this phase is in agreement with recent observations of copper adsorbed on icosahedral Al 70 Pd 21 Mn 9 surfaces 10 . In addition to establishing a link between archimedean tilings and quasicrystals, our experiments allow us to investigate in real space how single-element monolayers can form commensurate structures on quasicrystalline surfaces.Quasicrystals are unusual materials: they are aperiodic but retain true long-range order 11 . Although quasicrystalline structures have been theoretically also predicted in systems with a single type of particle 12,13 , experimentally their spontaneous formation has been observed only in binary, ternary or even more complex alloys 14 . Accordingly, their surfaces exhibit a high degree of structural and chemical complexity and show unexpected mechanical, electrical and optical properties 15 . To understand the origin of those characteristics it is useful to disentangle structural and chemical aspects; this can be achieved by growing single-element monolayers to quasicrystalline surfaces 16,17 . Apart from adding to our understanding of how quasicrystalline properties can be transferred to such monolayers 18 , this approach might permit the fabrication of materials with previously unobserved properties. Heteroepictatic growth experiments on decagonal and icosahedral surfaces did indeed show the formation of Bi and Sb monolayers with a high degree of quasicrystalline order as determined by low-energy electron diffraction and elastic heliumatom scattering experiments 6,18 . In comparison with reciprocal space studies, it was only recently that scanning tunnelling microscopy permitted an atomic resolution of the adsorbate morphology 7 . Even then, however, it was difficult to relate the structure of the adsorbate to that of the underlying substrate.Here we report an experi...

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Complete photonic bandgaps in 12-fold symmetric quasicrystals

Cited by 507 publications

References 23 publications

Highly engineered mesoporous structures for optical processing

Highly engineered mesoporous structures for optical processing

Supramolecular dendritic liquid quasicrystals

Archimedean-like tiling on decagonal quasicrystalline surfaces

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