Properties of Omnidirectional Photonic Band Gaps in Fibonacci Quasi-Periodic One-Dimensional Superconductor Photonic Crystals

Zhang, Hai; Liu, Shaobin; Kong, Xiangkun; Bian, Borui; Zhao, Xuezeng

doi:10.2528/pierb12040406

Cited by 36 publications

(9 citation statements)

References 34 publications

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“…Thus, the presence of several omnidirectional PBGs in a period of the reciprocal space has been theoretically and experimentally confirmed for a number of aperiodic multilayer configurations. For instance, the possibility of achieving omnidirectional reflection (ODR) in Thue-Morse [15], Fibonacci [16,17], generalized Fibonacci [10] and classical Kolakoski [4] aperiodic structures has been put forward lately. At the same time, the omnidirectional properties of the generalized Kolakoski multilayers K (p, q) have not been studied yet; such is the first goal of this paper.…”

Section: Introductionmentioning

confidence: 99%

Omnidirectional Reflection From Generalized Kolakoski Multilayers

Fesenko¹

2015

PIER M

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Abstract-The origin of omnidirectional band gaps in one-dimensional layered photonic structures which are aligned according to the generalized Kolakoski inflation rule are studied using the transfer matrix formalism. On their basis some particular designs of cascaded aperiodic heterostructures are proposed. It is found that the proposed cascaded structures stand out by the omnidirectional reflection bands which cover whole near-infrared spectral region.

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Section: Introductionmentioning

confidence: 99%

Omnidirectional Reflection From Generalized Kolakoski Multilayers

Fesenko¹

2015

PIER M

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“…Sounas et al [22] investigated the optimal design of arbitrarily-dimensional DNG metamaterial slabs and the focusing characteristic based on the a new technique, which employs the signal processing notions of the cross-correlation coefficient, and mean square error is introduced. Compared to the DNG metamaterial, the ENG materials can always be found in nature and can also be obtained easily in practical applications in some frequency regions, such as plasma [23], superconductors [24], semiconductors [25] and metals [26]. Compared to the conventional dielectric PCs, the PCs containing the ENG materials display strong spatial dispersion, and zero-n PBGs can also be obtained [11] which are not dependent on the incident angle, lattices, and polarization of EM waves.…”

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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“…To explore properties of wave transmission, transfer matrix method (TMM) will be employed [26]. This method is elegant and widely used in the study of one-dimensional photonic layered structures [27][28][29][30][31][32][33][34][35]. In using TMM, it is necessary to have the refractive index of each material.…”

Section: Basic Equationsmentioning

confidence: 99%

Analysis of Transmission Properties in a Photonic Quantum Well Containing Superconducting Materials

Chang

Liu

Yang

et al. 2013

PIER

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Abstract-Properties of wave transmission in a photonic quantum well (PQW) structure containing superconducting materials are theoretically investigated. We consider two possible PQW structures, (AB) P (CD) Q (AB) P -asymmetric and (AB) P (CD) Q (BA) P -symmetric, where the host photonic crystal (PC) (AB) P is made of dielectrics, A = SrTiO 3 , B = Al 2 O 3 , and the PQW (CD) Q contains C = A and superconducting layer D = YBa 2 Cu 3 O 7−x , a typical high-temperature superconducting thin film. Multiple transmission peaks can be seen within the photonic band gap (PBG) of (AB) P and the number of peaks is directly determined by the stack number of PQW, i.e., it equals Q-1. Additionally, the results show that symmetric PQW structure is preferable to the design of a multichannel transmission filter. The effect of stack number of photonic barrier is also illustrated. Such a filter operating at terahertz with feature of multiple channels is of technical use in superconducting optoelectronic applications.

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Properties of Omnidirectional Photonic Band Gaps in Fibonacci Quasi-Periodic One-Dimensional Superconductor Photonic Crystals

Cited by 36 publications

References 34 publications

Omnidirectional Reflection From Generalized Kolakoski Multilayers

Omnidirectional Reflection From Generalized Kolakoski Multilayers

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

Analysis of Transmission Properties in a Photonic Quantum Well Containing Superconducting Materials

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