Properties of one-dimensional photonic crystals containing single-negative materials

Jiang, Haitao; Chen, Hong; Li, Hongqiang; Zhang, Yewen; Zi, Jian; Zhu, Shi Yao

doi:10.1103/physreve.69.066607

Cited by 274 publications

(116 citation statements)

References 21 publications

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“…It is straightforward to ask if similar physics can happen in optical systems composed by opaque materials, such as epsilon-negative (ENG) media and munegative (MNG) media. In 2004, Jiang et al [61] considered a 1D PC formed by alternative stacking of ENG layers (with ε 1 < 0, μ 1 > 0, thickness d 1 ) and MNG layers (with ε 2 > 0, μ 2 < 0, thickness d 2 ). Based on the same mathematics, they found that the dispersion relation of the system is determined by η η κ η η…”

Section: Zero-phase ( φ Eff ) Gapmentioning

confidence: 99%

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Physics of the zero- photonic gap: fundamentals and latest developments

et al. 2012

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A short overview is presented on the research works related to the zero-n -gap, which appears as the volume-averaged refraction index vanishes in photonic structures containing both positive and negative-index materials. After introducing the basic concept of the zero-n -gap based on both rigorous mathematics and numerical simulations, the unique properties of such a band gap are discussed, including its robustness against weak disorder, wide-incidence-angle operation and scaling invariance, which do not belong to a conventional Bragg gap. We then describe the simulation and experimental verifi cations on the zero-n -gap and its extraordinary properties in different frequency domains. After that, the unusual photonic and physical effects discovered based on the zero-ngap and their potential applications are reviewed, including beam manipulations and nonlinear effects. Before concluding this review, several interesting ideas inspired from the zero-ngap works will be introduced, including the zero-phase gaps, zero-permittivity and zero-permeability gaps, complete band gaps, and zero-refraction-index materials with Dirac-Cone dispersion.

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Section: Zero-phase ( φ Eff ) Gapmentioning

confidence: 99%

“…This discovery motivated people to ask the inverse questionunder what condition should such system exhibit a PBG ? Jiang et al [61] noticed that, when the effective phase accumulation (not the real phase since waves inside each layer are evanescent) across the unit cell is exactly zero, i.e.,…”

Section: Zero-phase ( φ Eff ) Gapmentioning

confidence: 99%

Physics of the zero- photonic gap: fundamentals and latest developments

et al. 2012

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“…It was shown that a one-dimensional photonic crystal (1DPC) composed of alternating slabs of ordinary double-positive (DPS) and DNG media can have a type of photonic bandgap (PBG) corresponding to zero averaged refractive index (n) [9][10][11][12]. Moreover, it is well known that a 1DPC constituted by a periodic repetition of MNG and ENG layers can possess another type of photonic gap with effective phase (ϕ eff ) of zero [13][14][15]. When the periodicity of photonic crystal structure is broken, wave propagation is not described by Bloch states.…”

Section: Introductionmentioning

confidence: 99%

Photonic Transmission Spectra in One-Dimensional Fibonacci Multilayer Structures Containing Single-Negative Metamaterials

Rahimi¹,

Namdar²,

Entezar³

et al. 2010

PIER

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Abstract-We investigate the transmission properties of the Fibonacci quasiperiodic layered structures consisting of a pair of double positive (DPS), epsilon-negative (ENG) or/and mu-negative (MNG) materials. It is found that there exist the polarization-dependent transmission gaps which are invariant with a change of scaling and insensitive to incident angles. Analytical methods based on transfer matrices and effective medium theory have been used to explain the properties of transmission gaps of DPS-MNG, DPS-ENG and ENG-MNG Fibonacci multilayer structures.

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“…In addition, in the left hand side of Eq. (10), the effective phase or the Bloch phase is defined as φ eff = KΛ [29]. In general, K is complex, i.e., K = K r − jK i .…”

Section: Basic Equationsmentioning

confidence: 99%

Design and Analysis of Multichannel Transmission Filter Based on the Single-Negative Photonic Crystal

Wu¹,

Lee²,

Jian³

2013

PIER

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Abstract-In this work, the multiple filtering phenomenon in a photonic crystal made of single-negative (SNG) materials is investigated. We consider a finite photonic crystal (AB) N immersed in air, in which A, B are epsilon-negative (ENG) and mu-negative (MNG) materials, respectively, and N is the stack number. It is found that such a photonic crystal can function as a multichannel transmission filter with a channel number equal to N −1. The required condition is that the thickness of MNG layer must be larger than that of ENG layer when magnetic plasma frequency is greater than electric plasma frequency. The channel frequencies can be red-shifted as the thickness of MNG layer decreases. The channel positions can be tuned by the incidence angle for both TE and TM polarizations. That is, the peak frequency is blue-shifted when the angle of incidence increases. Additionally, the influence of the static permeability of ENG medium and permittivity of MNG medium is also illustrated. The proposed structure can thus be used to design as a tunable multichannel filter which is of technical use in signal processing.

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Properties of one-dimensional photonic crystals containing single-negative materials

Cited by 274 publications

References 21 publications

Physics of the zero- photonic gap: fundamentals and latest developments

Physics of the zero- photonic gap: fundamentals and latest developments

Photonic Transmission Spectra in One-Dimensional Fibonacci Multilayer Structures Containing Single-Negative Metamaterials

Design and Analysis of Multichannel Transmission Filter Based on the Single-Negative Photonic Crystal

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