Advances in Photonic Crystals

Weisbuch, C.; Bénisty, Henri; Olivier, S.; Rattier, M.; Smith, C.J.M.; Krauss, Thomas F.

doi:10.1002/1521-3951(200009)221:1<93::aid-pssb93>3.0.co;2-4

“…where E # (x, k, ω) and H # (x, k, ω) are the time-harmonic electric and magnetic fields oscillating at the frequency ω, with the Bloch boundary condition (21). This set of equations (25) can be expressed as the eigenvalue problem…”

Section: The Dispersion Lawmentioning

confidence: 99%

“…The ability of two-dimensional photonic crystals to forbid the propagation of the electromagnetic field has been exploited to guide light in microstructured optical fibres [15,16,17,18,19,20] and planar structures in integrated optics [21]. In photonic crystal fibers the photonic bandgap allows the guiding of light in air or vacuum, thus enabling to enhance the power of the guided light.…”

Section: Introductionmentioning

confidence: 99%

Compendium on Electromagnetic Analysis

Gralak

¹

,

Guenneau²,

Cassier

³

et al. 2020

Compendium on Electromagnetic Analysis

0

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Photonic crystals are periodic structures which prevent light propagation along one or more directions in certain frequency intervals. Their band spectrum is usually analyzed using Floquet-Bloch decomposition. This spectrum is located on the real axis, and it enters the complex plane when absorption and dispersion is considered in the dielectric permittivity of material constituents. Here, we review fundamental definition and properties of dispersion law and group velocity in photonic crystals and we illustrate them with numerical examples.

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“…As a type of artificial material, one‐dimensional photonic crystals (1D PCs) have a periodic arrangement of refractive index. Having the ability to create a range of forbidden frequencies known as photonic band gap (PBG), 1D PCs have attracted widespread concern in recent years.…”

Section: Introductionmentioning

confidence: 99%

Perfect Absorption in One–Dimensional Photonic Crystal with Graphene‐Dielectric Hyperbolic Metamaterials

Ju

¹

,

Xie

²

,

Du

³

et al. 2018

Physica Status Solidi (b)

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The absorption characteristics of one‐dimensional photonic crystals (1DPC) consisting of an ordinary dielectric and graphene–dielectric hyperbolic metamaterials in terahertz (THz) are theoretically analyzed and numerically simulated using the transfer matrix method. The perfect absorption peaks can be achieved in the structure designed in our research. In the 1DPC, the dielectric layers are embedded into graphene layers and the optical axis of the graphene–dielectric hyperbolic metamaterials is normal to the graphene layers. The graphene–dielectric layers are seen as anisotropic effective medium and possess the properties of hyperbolic dispersion in THz frequency band. The locations of perfect absorptance peaks are dependent on chemical potential, the thicknesses of dielectric layers and the inclined angle. The positions of absorption peaks are blue‐shifted with increasing the chemical potential and red‐shifted by increasing the thicknesses of the dielectric layers. We testified that the orientation of the optical axis of the graphene–dielectric layers has prominent effect on the locations of the perfect absorption peaks. Moreover, multiband absorption peaks can be obtained by introducing more structure as given in our research with different parameters. The controllable perfect absorption achieved at the far infrared ray (FIR) frequencies could be applied in the design of multichannel perfect absorption filters.

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“…The ability of two-dimensional photonic crystals to forbid the propagation of the electromagnetic field has been exploited to guide light in microstructured optical fibres [15,16,17,18,19,20] and planar structures in integrated optics [21]. In photonic crystal fibers the photonic bandgap allows the guiding of light in air or vacuum, thus enabling to enhance the power of the guided light.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic waves in photonic crystals: laws of dispersion, causality and analytical properties

Gralak¹,

Cassier²,

Demésy³

et al. 2018

Preprint

0

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Photonic crystals are periodic structures which prevent light propagation along one or more directions in certain frequency intervals. Their band spectrum is usually analyzed using Floquet-Bloch decomposition. This spectrum is located on the real axis, and it enters the complex plane when absorption and dispersion is considered in the dielectric permittivity of material constituents. Here, we review fundamental definition and properties of dispersion law and group velocity in photonic crystals and we illustrate them with numerical examples.

show abstract

Advances in Photonic Crystals

Cited by 15 publications

References 7 publications

Compendium on Electromagnetic Analysis

Compendium on Electromagnetic Analysis

Perfect Absorption in One–Dimensional Photonic Crystal with Graphene‐Dielectric Hyperbolic Metamaterials

Electromagnetic waves in photonic crystals: laws of dispersion, causality and analytical properties

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