Rhombicuboctahedral Three‐Dimensional Photonic Quasicrystals

Ledermann, Alexandra; Wegener, Martin; Freymann, Georg von

doi:10.1002/adma.200903885

Cited by 13 publications

(9 citation statements)

References 21 publications

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“…10 Other researchers examined 2D and 3D quasicrystalline dielectric photonic crystals. [11][12][13][14] Quasiperiodic structures offer the possibility to engineer significantly more isotropic photonic band gaps. 15 The hybrid system where localized plasmons are strongly coupled through waveguide modes is particularly suited to study coupling.…”

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Optical properties of two-dimensional quasicrystalline plasmonic arrays

2011

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Simulation models for the optical properties of 2D quasiperiodic plasmonic structures often fail due to their lack of periodicity. Therefore, it is necessary to find an appropriate model to describe the optical properties of such structures. In this paper we present a model which is able to describe the optical spectra of 2D metallic photonic quasicrystals on top of a waveguide. We take the 2D Fourier transform of the structure and consider all possible waveguide modes in the specific energy range. By utilizing the dispersion relations, the optical spectra can be calculated. The presented model is verified by measurements of a quasiperiodic lattice as well as a rectangular lattice as reference. We find distinct differences in the behavior of quasicrystalline vs rectangular lattices, in particular when investigating rotated and elongated plasmonic particles.Coupling plays a major role in plasmonics. A plethora of interesting phenomena arise from the interaction of particle plasmon resonances with other optical modes. The coupled system can exhibit Fano resonances, 1 which make such systems ideal for optical nanosensors. 2-4 The most straightforward coupled systems comprise planar plasmonic structures with 1D or 2D periodic arrangements. 5,6 In this case, the localized particle plasmons couple to evanescent grating modes. Complementary to this structure are systems which include slits or holes in a solid metal film. 7 All of these examples have in common that the arrangement of plasmonic structures or holes in the metal film is periodic. First attempts to break with this convention have been carried out by Vardeny 8 and Rockstuhl. 9 They investigated quasicrystalline arrangements of nanoholes in a metal film and associated spectral features with characteristics in the reciprocal lattice of their structure. Similarly, already in the year 2000, Zoorob et al. investigated quasicrystalline holes in a dielectric waveguide slab. 10 Other researchers examined 2D and 3D quasicrystalline dielectric photonic crystals. [11][12][13][14] Quasiperiodic structures offer the possibility to engineer significantly more isotropic photonic band gaps. 15 The hybrid system where localized plasmons are strongly coupled through waveguide modes is particularly suited to study coupling. Hybrid periodic 1D and 2D systems have shown a variety of coupling-related linear 16-18 and nonlinear properties. [19][20][21] Even disordered systems were studied. [22][23][24] Recently, these systems have been utilized in a number of exciting applications such as efficiency-enhanced solar cells 25 and subwavelength focusing of light. 26 For the simple periodic cases, it was possible to describe these systems quantitatively by using S-matrix methods which are Fourier-periodic. However, up to now, we have been lacking a possibility to describe quasiperiodic plasmonic crystals quantitatively. In all of the above-mentioned systems where quasiperiodicity played a role, only qualitative assignments of the different spectral modes to reciprocal lattice features w...

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Optical properties of two-dimensional quasicrystalline plasmonic arrays

2011

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“…Fabricating three-dimensional DA systems is a very challenging task. Nevertheless, quasicrystals of relatively small thickness have been fabricated using stereolithography, optical interference holography and direct laser writing (DLW) 14 15 16 . Technological advances in DLW have enabled samples of increasing thickness as shown in a recent study on large-sized DA structures with pure-point and absolutely-continuous lattice spectra 17 .…”

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Spatial correlations and optical properties in three-dimensional deterministic aperiodic structures

Renner

Freymann

2015

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Photonic systems have strongly varying optical properties depending on the spatial correlations present in a given realization. In photonic crystals the correlations are spatially periodic forming Bravais lattices whereas the building blocks of an amorphous medium are randomly distributed without any long-range order. In this manuscript we study the optical properties of so-called deterministic aperiodic structures which fill the gap between the aforementioned two limiting cases. Within this group we vary the spectrum of the spatial correlations from being pure-point over singularly-continuous to absolutely-continuous. The desired correlations are created in direct-laser written three-dimensional polymer structures using one construction principle which allows us to attribute the optical behaviour solely to the encoded spectrum. Infrared reflection measurements reveal the characteristic response of each spectral type verifying the successful fabrication of large deterministic aperiodic structures. To prove the presence of the correlations in all directions we perform transmission experiments parallel to the substrate by means of micro-optical mirrors placed next to the structures. Transport measurements reveal a strong dependence of the effective beam width at the output facet on the encoded lattice type. Finally, we reproduce the lattice type dependent transport behavior in numerical calculations ruling out extrinsic experimental reasons for these findings.

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“…However, also planar aperiodic and disordered structures have been studied891011. Even 3D photonic quasicrystals were investigated1213. The coupling between particle plasmons and waveguide modes has been studied in periodic141516 as well as in disordered171819 systems.…”

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2D quasiperiodic plasmonic crystals

Bauer

Kobiela

Gießen

2012

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Nanophotonic structures with irregular symmetry, such as quasiperiodic plasmonic crystals, have gained an increasing amount of attention, in particular as potential candidates to enhance the absorption of solar cells in an angular insensitive fashion. To examine the photonic bandstructure of such systems that determines their optical properties, it is necessary to measure and model normal and oblique light interaction with plasmonic crystals. We determine the different propagation vectors and consider the interaction of all possible waveguide modes and particle plasmons in a 2D metallic photonic quasicrystal, in conjunction with the dispersion relations of a slab waveguide. Using a Fano model, we calculate the optical properties for normal and inclined light incidence. Comparing measurements of a quasiperiodic lattice to the modelled spectra for angle of incidence variation in both azimuthal and polar direction of the sample gives excellent agreement and confirms the predictive power of our model.

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Rhombicuboctahedral Three‐Dimensional Photonic Quasicrystals

Cited by 13 publications

References 21 publications

Optical properties of two-dimensional quasicrystalline plasmonic arrays

Optical properties of two-dimensional quasicrystalline plasmonic arrays

Spatial correlations and optical properties in three-dimensional deterministic aperiodic structures

2D quasiperiodic plasmonic crystals

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