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Optical properties of aperiodic metallic photonic crystal structures: quasicrystals and disorder
In this PhD tutorial the linear optical properties of aperiodic metallic photonic crystals are studied. All structures consist of metal nanostructures on top of a waveguide material. The incident light can excite plasmonic modes in the metal as well as photonic modes in the waveguide. These resonant systems are coupled to each other. In the first part,
Bauer, C, Giessen, H
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Numerical Methods for Quasicrystals [PDF]
Quasicrystals are one kind of space-filling structures. The traditional crystalline approximant method utilizes periodic structures to approximate quasicrystals.
Jiang, Kai, Zhang, Pingwen
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What do you get when you cross a crystal with a quasicrystal? The surprising answer stretches from Fibonacci to Kepler, who nearly 400 years ago showed how the ancient tiles of Archimedes form periodic patterns.Comment: 3 pages, 1 ...
Aaron S. Keys +10 more
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Light propagation and emission in complex photonic media [PDF]
We provide an introduction to complex photonic media, that is, composite materials with spatial inhomogeneities that are distributed over length scales comparable to or smaller than the wavelength of light.
Lagendijk, Ad +2 more
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Guided resonances in photonic crystals with point-defected aperiodically-ordered supercells [PDF]
In this paper, we study the excitation of guided resonances (GRs) in photonic-crystal slabs based on point-defected aperiodically-ordered supercells. With specific reference to perforated-slab structures and the Ammann-Beenker octagonal lattice geometry,
Andrea Cusano +27 more
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Symmetry of Magnetically Ordered Quasicrystals [PDF]
The notion of magnetic symmetry is reexamined in light of the recent observation of long range magnetic order in icosahedral quasicrystals [Charrier et al., Phys. Rev. Lett. 78, 4637 (1997)].
B. Charrier +17 more
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A maximum density rule for surfaces of quasicrystals [PDF]
A rule due to Bravais of wide validity for crystals is that their surfaces correspond to the densest planes of atoms in the bulk of the material. Comparing a theoretical model of i-AlPdMn with experimental results, we find that this correspondence breaks
A.R. Kortan +23 more
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Controlled self-assembly of periodic and aperiodic cluster crystals [PDF]
Soft particles are known to overlap and form stable clusters that self-assemble into periodic crystalline phases with density-independent lattice constants.
Barkan, Kobi +2 more
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Computation and visualization of photonic quasicrystal spectra via Blochs theorem
Previous methods for determining photonic quasicrystal (PQC) spectra have relied on the use of large supercells to compute the eigenfrequencies and/or local density of states (LDOS).
Alejandro W. Rodriguez +13 more
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Repetitive Delone Sets and Quasicrystals
This paper considers the problem of characterizing the simplest discrete point sets that are aperiodic, using invariants based on topological dynamics.
Lagarias, Jeffery C. +1 more
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