Photonic band gaps in quasiperiodic photonic crystals with negative refractive index

Vasconcelos, M.S.; Mauriz, P. W.; Medeiros, F. F. de; Albuquerque, E.L.

doi:10.1103/physrevb.76.165117

Cited by 57 publications

(25 citation statements)

References 39 publications

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“…[26], i.e., those suitable for silicon dioxide -SiO 2 (material A) and titanium dioxide -TiO 2 (material B); they are virtually absorptionfree above 400 nm. We also consider the individual components ( A or B) as quarter-wavelength layers, for which the quasiperiodicity is expected to be more effective [9], with central wavelength λ 0 = 700 nm. These conditions yield the physical thickness…”

Section: Numerical Resultsmentioning

confidence: 99%

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Effects of mirror symmetry on the transmission fingerprints of quasiperiodic photonic multilayers

2010

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We address the transmission properties of light waves through symmetric Fibonacci, Thue-Morse and double-period photonic multilayers, i.e., a binary one-dimensional quasiperiodic structure made up of two different dielectric materials (more specifically SiO 2 and TiO 2 ), in quarter wavelength condition, presenting mirror symmetry. The optical spectra are calculated by using a theoretical model based on the transfer matrix approach in normal incidence geometry. In our results we present the self-similar features of the spectra and we also present the optical fingerprints through a return map of the transmission coefficients. We discuss these optical fingerprints and compare them with results of previous works, on similar quasiperiodic systems, in the absence of mirror symmetry.

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Section: Numerical Resultsmentioning

confidence: 99%

“…[7] and [8]. Furthermore, the concept of PBG has been extended to quasiperiodic structures [9]. Among many studies, the photonic localization in quasiperiodic microstructures is particularly attractive.…”

Section: Introductionmentioning

confidence: 99%

Effects of mirror symmetry on the transmission fingerprints of quasiperiodic photonic multilayers

2010

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“…Studies about the scaling property, self-similarity, localized states, and oblique incidence for a double-period superlattice have been conducted [26,28]. Moreover, the properties of this superlattice with one of the media being a negative refractive index also have been investigated [27,29]. However, most of the studies only concentrate on the quarter-wave condition.…”

Section: Introductionmentioning

confidence: 99%

Bragg-like interference in one-dimensional double-period quasicrystals

et al. 2014

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Three quasi-Bragg conditions (QBCs) in one-dimensional double-period quasicrystals based on high reflectance from interference are proposed. Analytical formulas for these QBCs are derived using band-edge equations. All of these QBCs have conditions that are different from that of the traditional Bragg condition. The QBC at quarter-wave thickness in double-period quasicrystals is also discontinuous in different regions of the gap map. In contrast, the traditional Bragg condition for periodic cases, which lies at quarter-wave thickness, is continuous in different regions of the gap map. It is found that there are three thickness conditions with the maximum reflectance occurring in the midpoints of the QBCs in double-periodic quasicrystals, which is analogous to the quarter-wave thickness in traditional periodic crystals. These QBCs in double-period cases are different not only from the traditional Bragg condition in periodic cases, but also from those in Fibonacci and Thue-Morse quasicrystals.

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“…All these properties are typical for quasi-periodic structures so that Fibonacci superlattices are considered as archetypal structures to study the fundamental aspects of wave propagation in quasicrystals. Recently, the bandgaps of Fibonacci photonic crystals with DNG materials have been presented [14][15][16], and it has been found that the change in the width and location of the omnidirectional zero-n gap is limited when Fibonacci order is changed [16].…”

Section: Introductionmentioning

confidence: 99%

Omnidirectional bandgaps in Fibonacci quasicrystals containing single-negative materials

Deng

Liu

Huang

et al. 2010

J. Phys.: Condens. Matter

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The band structure and bandgaps of one-dimensional Fibonacci quasicrystals composed of epsilon-negative materials and mu-negative materials are studied. We show that an omnidirectional bandgap (OBG) exists in the Fibonacci structure. In contrast to the Bragg gaps, such an OBG is insensitive to the incident angle and the polarization of light, and the width and location of the OBG cease to change with increasing Fibonacci order, but vary with the thickness ratio of both components, and the OBG closes when the thickness ratio is equal to the golden ratio. Moreover, the general formulations of the higher and lower band edges of the OBG are obtained by the effective medium theory. These results could lead to further applications of Fibonacci structures.

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Photonic band gaps in quasiperiodic photonic crystals with negative refractive index

Cited by 57 publications

References 39 publications

Effects of mirror symmetry on the transmission fingerprints of quasiperiodic photonic multilayers

Effects of mirror symmetry on the transmission fingerprints of quasiperiodic photonic multilayers

Bragg-like interference in one-dimensional double-period quasicrystals

Omnidirectional bandgaps in Fibonacci quasicrystals containing single-negative materials

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