Optical Fabry–Perot filter based on photonic band gap quasi-periodic one-dimensional multilayer according to the definite Rudin–Shapiro distribution

Bouazzi, Yassine; Kanzari, M.

doi:10.1016/j.optcom.2012.01.082

Cited by 17 publications

(6 citation statements)

References 7 publications

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“…and wavevector k e ≡ (k x , k ze ) = k √ ε e sin θ i , k √ ε e cos θ i , with k = ω/c = 2π/λ denoting the vacuum wavenumber (and c and λ the corresponding wave velocity and wavelength, respectively). Previous studies on GRS-type multilayered dielectric structures [34][35][36][37][38][39] have focused on the diffractive (photonic-crystal) regime characterized by moderately thick layers, showing interesting light-transport properties in terms of bandgap, filtering and field-enhancement. Here, we focus instead on the insofar unexplored deeply subwavelength regime, characterized by d a,b λ, in which the optical properties of such metamaterials are typically well described by simple EMT models based on Maxwell-Garnett-type mixing formulas [7].…”

Section: Statementmentioning

confidence: 99%

“…Moreover, we focus on the deeply subwavelength parameter regime 0.01λ < d < 0.05λ, and on incidence directions assumed parameters, this angular-incidence range guarantees that the field is evanescent in the "a"-type layers and propagating in the "b"-type ones. The regime characterized by smaller angles of incidence (0 < θ i < 30 o ), in which the field is propagating in both layers, has been extensively investigated in previous studies on photonic crystals [34][35][36][37][38][39], and is not of interest here. Overall, the assumed parameter regime is rather unusual, as the phase-accumulation mechanism is essentially dominated by the discrete jumps (Fresnel-type reflection/transmission) at the layer interfaces rather than the delay acquired via propagation through the (deeply subwavelength) layers.…”

Section: Generalitiesmentioning

confidence: 99%

“…Accordingly, alternative terms such as "flat-spectrum aperiodic order" or "pseudo-randomness" are also utilized in the topical literature to define this type of geometries. So far, in electromagnetics and optical engineering, GRS sequences have been explored in connection with antenna arrays [27], spread-spectrum communications and encryption [28], diffuse scattering [29,30], nanoplasmonic arrays [31][32][33], and photonic crystals [34][35][36][37][38][39].…”

Section: Geometrymentioning

confidence: 99%

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Effects of deterministic disorder at deeply subwavelength scales in multilayered dielectric metamaterials

2020

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It is common understanding that multilayered dielectric metamaterials, in the regime of deeply subwavelength layers, are accurately described by simple effective-medium models based on mixing formulas that do not depend on the spatial arrangement. In the wake of recent studies that have shown counterintuitive examples of periodic and aperiodic (orderly or random) scenarios in which this premise breaks down, we study here the effects of deterministic disorder. With specific reference to a model based on Golay-Rudin-Shapiro sequences, we illustrate certain peculiar boundary effects that can occur in finite-size dielectric multilayers, leading to anomalous light-transport properties that are in stark contrast with the predictions from conventional effective-medium theory. Via parametric and comparative studies, we elucidate the underlying physical mechanisms, also highlighting similarities and differences with respect to previously studied geometries. Our outcomes may inspire potential applications to optical sensing, switching and lasing.

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Section: Statementmentioning

confidence: 99%

Section: Generalitiesmentioning

confidence: 99%

Section: Geometrymentioning

confidence: 99%

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Effects of deterministic disorder at deeply subwavelength scales in multilayered dielectric metamaterials

2020

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“…In all the performed calculations, the value of the H material refractive index is taken to be 2.3, which corresponds to titanium dioxide (TiO 2 ). The refractive index for L material is taken to be 1.45 (SiO 2 silica glass) [29,30]. Both media are assumed to be lossless, optically passive, and dispersionless, for the sake of the calculations.…”

Section: Methodsmentioning

confidence: 99%

Self-Similarity Properties of Complex Quasi-Periodic Fibonacci and Cantor Photonic Crystals

2021

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In this paper, the influence of structural modifications on basic quasi-periodic (QP) photonic crystals (PhC’s) on self-similarity feature in their spectral responses is examined. Investigated crystals are chosen based on a present knowledge on the QP crystals, and are classified according to their structure. One of the QP crystals considered for the calculations is a concatenation, Fibonacci structure. It characterizes with a self-similar spectra for its different orders, which means, that the spectral shape repeats itself and can be partially identical for a different orders of the Fibonacci QP crystal. The calculations were also performed for the fractal structure, based on a Cantor QP crystal. Just as for the case of the Fibonacci structure, it characterizes with a self-similar spectra for different orders of the structure. Considered photonic devices are next put through simple modification operations by multiplication, conjugation or mirror reflection. Resulting, modified structures are used for the calculations of their spectral response. Results show, that the self-similarity of the spectra is not affected by performed modifications, and thus spectral response of QP PhC can be designed without losing this feature. Moreover the regular expansion of the repeated central part of the spectrum that appears in higher-order Fibonacci QP PhC spectra (due to the self-similarity) with the increase Fibonacci crystal order is presented here for the first time.

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“…As a new type of artificial material, PC has been widely concerned because of its simple structure, easy process and low cost. The PC has been applied in many fields such as infrared detectors [3], polychromatic F-P filters [4], PC fibre [5], PC laser [6] Perovskite solar cells [7] and so on.…”

Section: Introductionmentioning

confidence: 99%

Realisation of one‐dimensional (Si/SiO ₂ ) ^N PC filter in visible light band

Yang

You

Zhao

et al. 2018

Micro & Nano Letters

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The work proposes a one-dimensional photonic crystal (PC) filter with (Si/SiO 2) N structure, which is used to filter in the visible light band. The optical properties are simulated theoretically by using the transfer matrix method. Propagating properties under different incident angles and different period numbers for both Transverse Electric (TE) mode and Transverse Magnetic (TM) mode are studied. A photonic bandgap (PBG) is found between 450 and 700 nm. For both TE and TM modes, the blue shift can be found as the incident angle increases. The PC films are prepared by radio-frequency (RF) magnetron sputtering experimentally. The experimental results are in accordance with the simulation results. The results indicate that the PBG is related to the incident angle and the period number, and increasing the period number is a feasible way to ensure the stability of the PBG. The studies are beneficial to the design of the PC filter in the future.

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Optical Fabry–Perot filter based on photonic band gap quasi-periodic one-dimensional multilayer according to the definite Rudin–Shapiro distribution

Cited by 17 publications

References 7 publications

Effects of deterministic disorder at deeply subwavelength scales in multilayered dielectric metamaterials

Effects of deterministic disorder at deeply subwavelength scales in multilayered dielectric metamaterials

Self-Similarity Properties of Complex Quasi-Periodic Fibonacci and Cantor Photonic Crystals

Realisation of one‐dimensional (Si/SiO ₂ ) ^N PC filter in visible light band

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Optical Fabry–Perot filter based on photonic band gap quasi-periodic one-dimensional multilayer according to the definite Rudin–Shapiro distribution

Cited by 17 publications

References 7 publications

Effects of deterministic disorder at deeply subwavelength scales in multilayered dielectric metamaterials

Effects of deterministic disorder at deeply subwavelength scales in multilayered dielectric metamaterials

Self-Similarity Properties of Complex Quasi-Periodic Fibonacci and Cantor Photonic Crystals

Realisation of one‐dimensional (Si/SiO 2 ) N PC filter in visible light band

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Product

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Realisation of one‐dimensional (Si/SiO ₂ ) ^N PC filter in visible light band