Light Transport through the Band-Edge States of Fibonacci Quasicrystals

Negro, Luca Dal; Otón, Claudio J.; Gaburro, Z.; Pavesi, L.; Johnson, Patrick; Lagendijk, Aart; Righini, Roberto; Colocci, M.; Wiersma, Diederik S.

doi:10.1103/physrevlett.90.055501

Cited by 291 publications

(184 citation statements)

References 35 publications

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“…The Fibonacci multilayer structure is the well-known 1D quasiperiodic structure, its electronic properties has been well-studied since the discovery of the quasi-crystalline phase in 1984 [22]. Wave through a structure in the Fibonacci sequence had also been studied in past decade, and recently the resonant states at the band edge of a photonic structure in the Fibonacci sequence are studied experimentally [23]. Studies of various aspects of wave propagation in the Fibonacci quasiperiodic structures carried out in Refs.…”

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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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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“…In one dimension, the states in quasiperiodic multilayers and the evolution of spectrum with sample size have been extensively studied. [1][2][3][4] Many interesting phenomena such as critical states and singular continuous spectrum have been discovered. 1,2 In two dimensions, recently, it has been shown that large full band gaps can be opened in photonic quasicrystals with small dielectric contrast due to the high rotational symmetry of a quasiperiodic structure.…”

Section: Introductionmentioning

confidence: 99%

“…16 Strongly suppressed group velocity has also been observed at the band-edge states of Fibonacci photonic quasicrystals by ultrashort pulse interferometry. 4 Secondly, great achievements have been made in the applications of the band-edge states in photonic crystals. [25][26][27][28][29] However, recent studies showed that the band-edge states in photonic quasicrystals can support various applications with novel and promising properties that are unrealizable by using the band-edge states in photonic crystals.…”

Section: Introductionmentioning

confidence: 99%

“…[11][12][13][14][15] Recently, a wide interest has been attracted to the bandedge states in quasiperiodic composites. 4,[16][17][18][19][20][21][22][23] Firstly, the property of wave functions at band edges in quasiperiodic structures remains an interesting and unresolved topic. 24 By observing the liquid surface wave on a quasiperiodically drilled bottom, the wave function at the band edge is shown to be a plane wave with quasiperiodic modulation.…”

Section: Introductionmentioning

confidence: 99%

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Anomalous properties of the band-edge states in large two-dimensional photonic quasicrystals

et al. 2007

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By using the sparse-matrix canonical-grid method, we performed large-scale multiple-scattering calculations to study band-edge states in large-sized two-dimensional photonic quasicrystals. We find that the band-edge states evolve in an abrupt and irregular way when the sample size is increased. New states with reduced symmetries can emerge at the band edge in large samples. Strong multifractal behaviors in the wave functions are also observed. Our findings unveil important differences between quasiperiodic and periodic systems at band edges.

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“…The most common quasi-periodic structure is Fibonacci sequence [12][13][14][15]. Fibonacci sequence multilayer present a discrete Fourier spectrum characterized by self-similar Bragg peak.…”

Section: Introductionmentioning

confidence: 99%

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

Zhang¹,

Liu²,

Kong³

et al. 2012

PIER B

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Abstract-In this paper, the properties of the omnidirectional photonic band gap (OBG) realized by one-dimensional (1D) Fibonacci quasi-periodic structure which is composed of superconductor and isotropic dielectric have been theoretically investigated by the transfer matrix method (TMM). From the numerical results, it has been shown that this OBG is insensitive to the incident angle and the polarization of electromagnetic wave (EM wave), and the frequency range and central frequency of OBG cease to change with increasing Fibonacci order, but vary with the ambient temperature of system, the thickness of the superconductor, and dielectric layer, respectively. The bandwidth of OBG can be notably enlarged with increasing the superconductor thickness. Moreover, the frequency range of OBG can be narrowed with increasing the thickness of dielectric layer and ambient temperature. The damping coefficient of superconductor layers has no effect on the frequency range of OBG under lowtemperature conditions. It is shown that Fibonacci quasi-periodic 1D superconductor dielectric photonic crystals (SDPCs) have a superior feature in the enhancement frequency range of OBG. This kind of OBG has potential applications in filters, microcavities, and fibers, etc.

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Light Transport through the Band-Edge States of Fibonacci Quasicrystals

Cited by 291 publications

References 35 publications

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

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

Anomalous properties of the band-edge states in large two-dimensional photonic quasicrystals

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

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