Omnidirectional bandgaps in Fibonacci quasicrystals containing single-negative materials

Deng, Xiaobing; Liu, Jiangtao; Huang, Jiehui; Zou, Liner; Liu, Nian-Hua

doi:10.1088/0953-8984/22/5/055403

Cited by 29 publications

(17 citation statements)

References 24 publications

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“…Localization of light in quasiperiodic structures has been the subject of great interest in recent years [12][13][14][15][16]. Quasiperiodic structures have a certain orientation order but lack long-range translational symmetry.…”

Section: Introductionmentioning

confidence: 99%

Lateral shift in one-dimensional quasiperiodic chiral photonic crystal

Da¹,

Cheng³

et al. 2015

Physica B: Condensed Matter

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Section: Introductionmentioning

confidence: 99%

Lateral shift in one-dimensional quasiperiodic chiral photonic crystal

Da¹,

Cheng³

et al. 2015

Physica B: Condensed Matter

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“…Thus, the tunable PCs containing the ENG materials become a new research focus, which has been investigated extensively. Up to now, the most extensive works are reported on the applications realized in one-dimensional (1D) or 2D PCs, such as the omnidirectional mirrors [27], omnidirectional filter [28] and omnidirectional reflector [29]. However, the 1D and 2D PCs structure in theory may not be very well in accordance with the real applications.…”

Section: Introductionmentioning

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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“…However, the PBGs of conventional PCs will suffer from high sensitivity to the lattices and randomness, which means that PBGs cannot be changed as the dielectrics and topology of PCs are certain, and may also be affected by the errors in manufacturing. To overcome these drawbacks, researchers have to introduce metamaterials into the PCs to obtained tunable PBGs [14] and zero-n PBGs [15]. Obviously, the zero-refractive indices can be obtained by metamaterials [16,17].…”

Section: Introductionmentioning

confidence: 99%

Enhanced the Complete Photonic Band Gaps for Three-Dimensional Photonic Crystals Consisting of Epsilon-Negative Materials in Pyrochlore Arrangement

Zhang¹,

Liu²,

Zhao³

2014

PIER B

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Abstract-In this paper, the properties of photonic band gaps (PBGs) for three-dimensional (3D) photonic crystals (PCs) composed of isotropic positive-index materials and epsilon-negative materials with pyrochlore lattices are theoretically investigated by a modified plane wave expansion method. The eigenvalue equations of calculating the band structures for such 3D PCs in the first irreducible Brillouin zone (spheres with the isotropic positive-index materials inserted in the epsilon-negative materials background) are theoretically deduced. Numerical simulations show that the PBG and a flatbands region can be achieved. It is also found that larger PBG can be obtained in such PCs structure than the conventional lattices, such as diamond, face-centered-cubic, body-centered-cubic and simple-cubic lattices. The influences of the relative dielectric constant of spheres, filling factor, electronic plasma frequency, dielectric constant of epsilon-negative materials and damping factor on the properties of PBG for such 3D PCs are studied in detail, respectively, and some corresponding physical explanations are also given. The calculated results also show that the PBG can be manipulated by the parameters mentioned above except for the damping factor. Introducing the epsilon-negative materials into 3D dielectric PCs can obtain the complete and larger PBG as such 3D PCs with pyrochlore lattices, and also provides a way to design the potential devices.

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Omnidirectional bandgaps in Fibonacci quasicrystals containing single-negative materials

Cited by 29 publications

References 24 publications

Lateral shift in one-dimensional quasiperiodic chiral photonic crystal

Lateral shift in one-dimensional quasiperiodic chiral photonic crystal

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

Enhanced the Complete Photonic Band Gaps for Three-Dimensional Photonic Crystals Consisting of Epsilon-Negative Materials in Pyrochlore Arrangement

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