Influence of imperfections on the insulating and guiding properties of finite Si-inverted opal crystals

Lavrinenko, Andrei V.; Wohlleben, Wendel; Leyrer, Reinhold J.

doi:10.1364/oe.17.000747

Cited by 19 publications

(9 citation statements)

References 34 publications

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“…The results obtained are in accordance with the consideration [26] that the photonics-based devices (e.g. frequency filters) do not exhibit in real non-ideal conditions so nice properties as it was expected from the calculations for ideally periodic photonic crystals.…”

Section: Fig 22supporting

confidence: 89%

Wave propagation in an elastically supported string with point‐wise defects: gap‐band and pass‐band effects

2010

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Wave excitation, propagation and diffraction phenomena as well as related resonance trap-mode, gap-band and pass-band effects occurring in one-dimensional waveguides with obstacles are considered. The waveguide is a spring-supported string with pointwise changed cross-section and/or spring force. The analysis is based on semi-analytical solution in terms of the waveguide's Green functions with unknown coefficients. The latter are obtained from a linear algebraic system whose eigenvalues are spectral points of the problem considered. One of the purposes is to examine the relation between the spectral point allocation in the complex frequency plane and the resonance wave phenomena observed. It is shown that pass-band phenomena are controlled by natural frequencies approaching to the real axis.

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Section: Fig 22supporting

confidence: 89%

Wave propagation in an elastically supported string with point‐wise defects: gap‐band and pass‐band effects

2010

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“…6(a) It has been reported that such a level of fluctuation does not induce a critical degradation of the band-gap effect in the wafer-bonding-based 3D photonic crystals [24,25], whereas it might significantly influence inverted opal structures [26,27]. …”

Section: Analysis Of Fabrication Tolerancementioning

confidence: 99%

Three-dimensional photonic crystals fabricated by simultaneous multidirectional etching

et al. 2015

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We discuss three-dimensional (3D) photonic crystals fabricated by simultaneous multidirectional plasma etching. First, we investigate a method for controlling the ion sheath used in reactive ion etching for obtaining multidirectional etching. We then discuss the fabrication tolerance from an analytical perspective. Based on our results, we demonstrate the fabrication of 3D photonic crystals with thicknesses of 1, 1.5, and 2 lattice periods in the surface-normal direction on single-crystalline silicon wafers, which show high reflectance (∼100%) and low transmittance (−17 dB) at optical communication wavelengths, suggesting the formation of a complete photonic band gap. We reveal that the shape of the etched holes limits the performance of 3D photonic crystals and suggest possible ways to improve the band-gap effect. Moreover, we show that 3D photonic crystals with short lattice constants show high reflectance (∼80%) at visible to near-infrared wavelengths. By investigating the influence of absorption on the characteristics of 3D photonic crystals, we reveal that the reflectance remains as high as 94% in the photonic band-gap range even when the absorption of silicon is taken into account. We find that a unique increase of absorption occurs at several discrete wavelengths below the photonic band gap, suggesting the possibility of manipulating light absorption. These results not only simplify the fabrication of 3D photonic crystals, but also provide a basis for realizing 3D photonic nanostructures that include other materials.

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“…Polydisperse fluids are very widespread indeed, with examples comprising blood, paint, milk, clay, shampoo, viruses, globular proteins, photonic crystals, pharmaceuticals and even sewage, among several others. [12][13][14][15][16][17][18][19][20][21] The present work investigates how an arbitrary polydisperse fluid in the liquid-gas coexistence region behaves near its liquid-gas critical point (CP). Our development is valid for any number of particle species regardless of the nature of interparticle interactions, and therefore applies to generic multi-component mixtures.…”

Section: Introduction and Overviewmentioning

confidence: 99%

Critical phase behavior in multi-component fluid mixtures: Complete scaling analysis

Castro

Sollich

2018

The Journal of Chemical Physics

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We analyse the critical gas-liquid phase behaviour of arbitrary fluid mixtures in their coexistence region. We focus on the setting relevant for polydisperse colloids, where the overall density and composition of the system are being controlled, in addition to temperature. Our analysis uses the complete scaling formalism and thus includes pressure mixing effects in the mapping from thermodynamic fields to the effective fields of 3D Ising criticality. Because of fractionation, where mixture components are distributed unevenly across coexisting phases, the critical behaviour is remarkably rich. We give scaling laws for a number of important loci in the phase diagram. These include the cloud and shadow curves, which characterise the onset of phase coexistence; a more general set of curves defined by fixing the fractional volumes of the coexisting phases to arbitrary values; and conventional coexistence curves of the densities of coexisting phases for fixed overall density. We identify suitable observables (distinct from the Yang-Yang anomalies discussed in the literature) for detecting pressure mixing effects. Our analytical predictions are checked against numerics using a set of mapping parameters fitted to simulation data for a polydisperse Lennard-Jones fluid, allowing us to highlight crossovers where pressure mixing becomes relevant close to the critical point.

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Influence of imperfections on the insulating and guiding properties of finite Si-inverted opal crystals

Cited by 19 publications

References 34 publications

Wave propagation in an elastically supported string with point‐wise defects: gap‐band and pass‐band effects

Wave propagation in an elastically supported string with point‐wise defects: gap‐band and pass‐band effects

Three-dimensional photonic crystals fabricated by simultaneous multidirectional etching

Critical phase behavior in multi-component fluid mixtures: Complete scaling analysis

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