Photonic band gaps of three-dimensional face-centred cubic lattices

Moroz, Alexander; Sommers, C.

doi:10.1088/0953-8984/11/4/007

Cited by 104 publications

(120 citation statements)

References 45 publications

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“…We study optical transmission at normal incidence on thin photonic crystals. In accordance with previous calculations, 5 we demonstrate that photonic crystals of high-index core and low-index shell particles posses a larger relative L-stopgap width in comparison to crystals of low-index core and high-index shell 17 or homogeneous particles.…”

supporting

confidence: 92%

“…3 Indeed, the full vector calculations on an fcc crystal of core-shell particles have shown that the relative L-stopgap width (g w ) can be increased by more than 50% compared to the case of homogeneous particles. 5 Zinc sulfide (ZnS), due to its high bulk refractive index (β-ZnS n 589 = 2.36) and lack of absorption in the visible and near IR region, 9 is a convenient material for photonic applications. Spherical ZnS particles can be made with a wide range of sizes (100 -1500 nm in radius) and high monodispersity.…”

mentioning

confidence: 99%

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Photonic crystals of core-shell colloidal particles

Velikov

Moroz

Blaaderen

2002

Applied Physics Letters

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147

100

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We report on the fabrication and optical transmission studies of thin three-dimensional (3D) photonic crystals of high-dielectric ZnS-core and low-dielectric SiO 2 -shell colloidal particles.These samples were fabricated using a vertical controlled drying method. The spectral position and width of a stopgap depend on the core-to-shell ratio, in a manner consistent with numerical calculations. Both experiments and calculations show that the relative L-stopgap width in the case of high-index core low-index shell particles can be larger in comparison to the case of homogeneous particles of either material. The core-shell morphology gives additional control over the photonic stopgap characteristics. § Corresponding authors; electronic mails: K.P. Velikov@phys.uu.nl, A.vanBlaaderen@phys.uu.nl

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supporting

confidence: 92%

mentioning

confidence: 99%

Photonic crystals of core-shell colloidal particles

Velikov

Moroz

Blaaderen

2002

Applied Physics Letters

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147

100

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“…This assumption also holds in the continuation of this section. There are several methods to obtain the solutions k( ) ω [4][5][6][7][8][9] . From these solutions, the dispersion relationships can be derived.…”

Section: Bloch Solutions In An Infinite Crystalmentioning

confidence: 99%

Anomalous refractive properties of photonic crystals

Gralak¹,

Enoch²,

Tayeb³

2000

J. Opt. Soc. Am. A

374

207

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Abstract:We describe methods of investigation in order to study the behavior of photonic crystals. Our approach establishes a link between the dispersion relation of the Bloch modes for an infinite crystal (which describes the intrinsic properties of the photonic crystal in the absence of an incident field) and the diffraction problem of a grating (finite photonic crystal) illuminated by an incident field. We point out the relationship between the translation operator of the first problem, and the transfer matrix of the second. The eigenvalues of the transfer matrix contain information about the dispersion relation. This approach enables us to answer questions such as: when does ultrarefraction occur? Can the photonic crystal simulate a homogeneous and isotropic material with low effective index? This approach also enables us to determine suitable parameters to obtain ultrarefractive or negative refraction properties and to design optical devices such as highly dispersive microprisms and ultrarefractive microlenses. Rigorous computations add a quantitative aspect, and demonstrate the relevance of our approach.

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“…The results can be explained by the Maxwell-Garnett type effective medium theory. If the frequency of EM wave is less than ω p , the effective dielectric ε eff can be written as [48] …”

Section: The Unusual Properties Of Surface-plasmon Modesmentioning

confidence: 99%

The Wavelength Division Multiplexer Realized in Three-Dimensional Unusual Surface-Plasmon-Induced Photonic Crystals Composed of the Epsilon-Negative Materials Shells

Zhang¹,

Liu²,

Li³

2014

PIER

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Abstract-In this paper, the dispersive properties and switching state of three-dimensional (3D) photonic crystals (PCs) with diamond lattices, which are composed of the core isotropic dielectric spheres with surrounded by the epsilon-negative (ENG) materials shells inserted in the isotropic dielectric background (air), are theoretically investigated in detail based on a modified plane wave expansion method. The wavelength division multiplexer can be realized easily by tuning the switching state of such PCs. The equations for computing band structures for such 3D PCs are presented. Our analysis shows that the proposed double-shell structures can obtain the complete photonic band gaps (PBGs) which can be used to realize optical switching by manipulating the radius of core dielectric sphere, the relative dielectric constant of background, the dielectric constant of ENG materials and the electronic plasma frequency, respectively. However, the thickness of the ENG materials shell cannot change the switching state as the radius of core dielectric sphere is certain. Numerical simulations also show that a flatband region, and the stop band gaps (SBGs) in (1 0 0) and (1 1 1) directions which are above the flatband region can be achieved. The SBGs in (1 0 0) and (1 1 1) directions can also be tuned by the parameters as mentioned above. There also exists a threshold value for the thickness of ENG material shell, which can make the band structures for the 3D PCs with double-shell structures similar to those obtained from the same structure containing the pure ENG materials spheres. In this case, the inserted core sphere will not affect the band structures. It means that we can achieve the PBGs by replacing the pure ENG materials spheres by such double-shell structures to make fabricate easily and save the material in the realization. It is also noticed that the flatband region is determined by the existence of surface-plasmon modes, and the upper edge of flatband region does not depend on the topology of lattice. Such presented 3D PCs with double-shell structures offer a novel way to realize the wavelength division multiplexers.

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Photonic band gaps of three-dimensional face-centred cubic lattices

Cited by 104 publications

References 45 publications

Photonic crystals of core-shell colloidal particles

Photonic crystals of core-shell colloidal particles

Anomalous refractive properties of photonic crystals

The Wavelength Division Multiplexer Realized in Three-Dimensional Unusual Surface-Plasmon-Induced Photonic Crystals Composed of the Epsilon-Negative Materials Shells

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