Transmission fingerprints in quasiperiodic dielectric multilayers

Vasconcelos, M.S.; Albuquerque, E.L.

doi:10.1103/physrevb.59.11128

Cited by 78 publications

(65 citation statements)

References 12 publications

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“…33 , i.e., those appropriated for silicon dioxide (A) and titanium dioxide (B); they are virtually absorptionfree above 400 nm 40 . Also, we consider the individual layers as quarter-wave layers, for which the quasiperiodicity is expected to be more effective 34 , with the central wavelength λ 0 = 700 nm. These conditions yield the physical thickness d γ = (700/4n γ ) nm, γ = A or B, such that n A d A = n B d B .…”

Section: Numerical Resultsmentioning

confidence: 99%

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Octonacci photonic quasicrystals

et al. 2015

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We study theoretically the transmission spectra in one-dimensional photonic quasicrystals, made up of SiO 2 (A) and TiO 2 (B) materials, organized following the Octonacci sequence, where the nth-stage of the multilayer S n is given by the rule S n = S n−1 S n−2 S n−1 , for n ≥ 3 and with S 1 = A and S 2 = B. The expression for transmittance was obtained by employing a theoretical calculation based in the transfer-matrix method. To normally incident waves, we observe that, for a same generation, the transmission spectra for TE and TM waves are equal, at least qualitatively, and they present a scaling property where a self-similar behavior is obtained, as an evidence that these spectra are fractals. The spectra show regions where the omnidirectional band gaps emerges for specific generations of Octonacci photonic structure, except to TM waves. For TE waves, we note that all of them have the almost same width, for different generations. We also report the localization of modes as a consequence of the quasiperiodicity of the heterostructure.

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Section: Numerical Resultsmentioning

confidence: 99%

“…The layered system is formed by an array of slabs of the different materials A and B. The reflectance R and the transmittance T coefficients are given, respectively, by 34 ,…”

Section: Theoretical Model: Octonacci Sequence and Transfer-matrix Mementioning

confidence: 99%

Octonacci photonic quasicrystals

et al. 2015

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“…In (25), A QF q 1 q 2 is the QF wave propagator in (20), U denotes the Heaviside unit-step function, β SB q 1 q 2 delimits the shadow-boundary of each QF wave (for propagating QF waves, β…”

Section: Truncation Effects: Semi-infinite Arraysmentioning

confidence: 99%

Parameterizing quasi-periodicity: generalized Poisson summation and its application to modified-Fibonacci antenna arrays

Galdi

Castaldi

Pierro

et al. 2005

IEEE Trans. Antennas Propagat.

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The fairly recent discovery of "quasicrystals", whose X-ray diffraction patterns reveal certain peculiar features which do not conform with spatial periodicity, has motivated studies of the wave-dynamical implications of "aperiodic order". Within the context of the radiation properties of antenna arrays, an instructive novel (canonical) example of wave interactions with quasiperiodic order is illustrated here for one-dimensional (1-D) array configurations based on the "modifiedFibonacci" sequence, with utilization of a two-scale generalization of the standard Poisson summation formula for periodic arrays. This allows for a "quasi-Floquet" analytic parameterization of the radiated field, which provides instructive insights into some of the basic wave mechanisms associated with quasiperiodic order, highlighting similarities and differences with the periodic case. Examples are shown for quasiperiodic infinite and spatially-truncated arrays, with brief discussion of computational issues and potential applications.

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“…Multilayered structures of the dye-doped ChLCs used in the study [114] have revealed lasing thresholds as low as 12 nJ/pulse, which is an order of magnitude lower than that for the equivalent single-layer ChLC cell. Introduction of defects of certain sequences such as Fibonacci [115][116][117], Thue-Morse [118], Rudin-Shapiro [119], etc. is attractive for fabricating the photonic structures with the multiple PhBGs.…”

Section: Defect Modes In Cholesteric Liquid-crystal Lasersmentioning

confidence: 99%

Optically pumped mirrorless lasing. A Review. Part II. Lasing in photonic crystals and microcavities

Dudok¹,

Nastishin²

2014

Ukr. J. Phys. Opt.

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Abstract. This article is a second part of the review on optically pumped mirrorless lasing. Consideration of random lasing presented in the first part [Nastishin Yu A and Dudok T H, 2013. Ukr. J. Phys. Opt.] is now followed by analysis of the literature on the lasing in photonic structures, which is mainly focussed on dye-doped cholesteric liquid crystals and microcavities, including liquid-crystal microdroplets.

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Transmission fingerprints in quasiperiodic dielectric multilayers

Cited by 78 publications

References 12 publications

Octonacci photonic quasicrystals

Octonacci photonic quasicrystals

Parameterizing quasi-periodicity: generalized Poisson summation and its application to modified-Fibonacci antenna arrays

Optically pumped mirrorless lasing. A Review. Part II. Lasing in photonic crystals and microcavities

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