Heterostructures of photonic crystals: frequency bands and transmission coefficients

Stéfanou, N.; Yannopapas, Vassilios; Modinos, A.

doi:10.1016/s0010-4655(98)00060-5

Cited by 401 publications

(334 citation statements)

References 10 publications

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“…The reflectance predicted by Eq. ͑9͒ ͑broken curves͒ is compared to a rigorous calculation based upon a multiple-scattering formalism described elsewhere 28,40 ͑solid curves͒. The results from the analytical model are nearly identical to those of the full calculation near the ͗0,1͘ diffraction edge and both predict a featureless spectrum in that region.…”

Section: Modeling Particle Arrays Near a Substratementioning

confidence: 76%

Diffractive arrays of gold nanoparticles near an interface: Critical role of the substrate

et al. 2010

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The optical properties of periodic arrays of plasmonic nanoantennas are strongly affected by coherent multiple scattering in the plane of the array, which leads to sharp spectral resonances in both transmission and reflection when the wavelength is commensurate with the period. We demonstrate that the presence of a substrate ͑i.e., an asymmetric refractive-index environment͒ can inhibit long-range coupling between the particles and suppress lattice resonances, in agreement with recent experimental results. We find the substrate-tosuperstrate index contrast, and the distance between the array and the interface to be critical parameters determining the strength of diffractive coupling. Our rigorous electromagnetic simulations are well reproduced by a simple analytical model. These findings are important in the design of periodic structures and in the assessment of their optical resonances for potential use in sensing and other photonic technologies.

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Section: Modeling Particle Arrays Near a Substratementioning

confidence: 76%

Diffractive arrays of gold nanoparticles near an interface: Critical role of the substrate

et al. 2010

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“…3͑b͒ and 3͑c͒, the red solid lines show the transmittance for a slab composed of 16 layers ͑d Ϸ 27.7 mm͒ of the microstructures oriented in the ͓111͔ direction. The results are obtained using the multiple-scattering formulation ͑layer-KKR method up to the dipolar term 22 ͒. The blue dashed lines show the transmittance of the slab if it is replaced by a homogeneous one with effective and .…”

Section: Figmentioning

confidence: 99%

“…͑2͒ and ͑3͒. It is the multiple-scattering formulation 22 up to the dipolar term. At the point, the formulation neither requires us to work at a low frequency nor must the dipoles vary slowly from site to site.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic metamaterial with built-in microstructures

Chan

2005

Phys. Rev. B

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Electromagnetic metamaterial, which is usually treated as a homogeneous medium, can manipulate both the far fields and the near fields. On the other hand, due to its artificially structured nature, near fields of high spatial frequencies invoke the nonlocal response of the medium. Here, we study this nonlocality using a dipolar model. From the model, we can derive the effective medium directly and the complete ͑k , ͒ dispersion is used as the starting point in describing the material. We apply the model on the superlensing effect via a slab of double-negative metamaterial. In a particular case the wavelength is a hundred times of the lattice spacing, subwavelength imaging is sensible only when the lens is thinner than three wavelengths. The resolution can be improved by employing a smaller lattice spacing.

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“…24 In this method, the crystal slab is first divided into layers parallel to a given crystallographic plane, each layer containing a twodimensional ͑2D͒ lattice of identical spheres. Next, a multipole expansion in spherical waves is used to calculate the multiple scattering between spheres in a given layer.…”

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confidence: 99%

Experimental and theoretical analysis of the intensity of beams diffracted by three-dimensional photonic crystals

et al. 2008

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An analysis of the diffracted beams emerging from three-dimensional photonic crystals is herein presented. The wave vectors of nonspecular beams are calculated for a triangular two-dimensional lattice and the change in their directions as a function of the wavelength is confirmed experimentally for the case of face-centeredcubic colloidal crystals illuminated under normal incidence. A fluctuating behavior of beam intensity as a function of the wavelength of the incident light is predicted for perfectly ordered lattices. As it is the case for specularly reflected and ballistically transmitted beams, this modulation arises from multipole resonances of the sphere ensemble that are smoothed out via the diffuse light scattering produced by imperfections in the crystalline structure. When optical extinction is introduced in order to model the effect of imperfections, it is possible to accurately reproduce experimental observations. Three-dimensional ͑3D͒ photonic crystals, which are materials with a dielectric function having 3D spatial periodicity, have received much attention during the last decades mainly due to their potential applications in optical, infrared, and microwave devices. 1,2 This kind of material is the only one capable of avoiding light propagation in all directions when the dielectric contrast is high enough, so they can present a complete band gap in their photonic band structure. 3 This property has been used to mold the emission of optically active materials and proposed for several technological applications that are still under continuous research. 4 The advent of fabrication techniques, that take advantage of the self-assembling properties of spherical colloidal particles in the micrometer scale, has made it possible to observe stop bands 5 and even full gaps 6 in the visible and near infrared spectra. Improvements in these techniques have led to high quality colloidal crystals with a low density of defects. [7][8][9] This has enabled the observation of previously undetected optical effects in the so-called high energy range, where the lattice constant is equal or greater than the wavelength. For this range, interesting fundamental phenomena have been observed when light propagates through low dispersion modes, such as the superprism effect 10 or beam self-focusing. 11 The optical spectra features observed in this range, such as the appearance of reflectance peaks and transmittance dips in the absence of any band gap, have generated an intense debate on the physical mechanisms originating these features. [12][13][14][15] An interesting and almost unexplored phenomenon occurring in the high energy range is the opening of diffraction channels, 13 that is, a finite number of diffracted beams emerge from the crystal slab when the photon energy is greater than a threshold energy or diffraction cutoff. These diffracted beams are propagating waves that can be projected on a screen in order to measure their intensities. However, up to date, most of the experimental and theoretical analyses in the high...

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Heterostructures of photonic crystals: frequency bands and transmission coefficients

Cited by 401 publications

References 10 publications

Diffractive arrays of gold nanoparticles near an interface: Critical role of the substrate

Diffractive arrays of gold nanoparticles near an interface: Critical role of the substrate

Electromagnetic metamaterial with built-in microstructures

Experimental and theoretical analysis of the intensity of beams diffracted by three-dimensional photonic crystals

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