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Photonic Band Gap Properties of One-dimensional Generalized Fibonacci Photonic Quasicrystal Containing Superconductor Material

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Abstract

In this work, we theoretically investigate the transmission properties of one-dimensional (1D) Fibonacci photonic quasicrystal (PQC) by using the transfer matrix modeling (TMM) method. The PQC structure is composed of alternated layers of isotropic dielectric (SiO2) and a high-Tc superconductor (YBCO). Frequency-dependent dispersion formula according to the two-fluid Gorter–Casimir theory has been adopted to describe the optical response of the superconducting material. Within the framework of the TMM method, we studied the effect of many parameters such as the thicknesses of the dielectric and superconductor layers, Fibonacci lattice parameters, and the operating temperature on the transmission behaviors of the PQC structure. Our numerical results reveal the transmission cutoff frequency can be tuned efficiently by the operating temperature as well as by the thicknesses of the constituent materials. We found that increasing the temperature and the angle of incidence, maintaining materials thicknesses constant, there is a shift of the cutoff frequency to lower frequency values. Nevertheless, this cutoff frequency is shifted to higher values with increasing the superconductor layer thickness. Moreover, we found that the width and the number of the photonic bandgaps can be controlled by order of Fibonacci sequence. Our results are promising for the design of tunable filtering devices.

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Funding

The authors are thankful to the Deanship of Scientific Research- Research Center at King Khalid University in Saudi Arabia for funding this research work (code number: G.R.P-374-1439/2019).

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Authors and Affiliations

  1. College of Arts and Sciences in Mahayel Aseer, Physics Department, King Khaled University, Abha, Saudi Arabia

    Y. Trabelsi

  2. Photovoltaic and Semiconductor Materials Laboratory, University of Tunis EL Manar, PO. Box 37, Belvedere, 1002, Tunis, Tunisia

    Y. Trabelsi, N. Ben Ali & M. Kanzari

  3. College of Engineering of Hail, Industrial Engineering Department, University of Hail, 2440, Haïl City, Saudi Arabia

    N. Ben Ali

  4. Faculty of Applied Sciences, Department of Physics, Umm Al-Qura University, Makkah, Saudi Arabia

    W. Belhadj

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  1. Y. Trabelsi
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  2. N. Ben Ali
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  3. W. Belhadj
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  4. M. Kanzari
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Correspondence to W. Belhadj.

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Trabelsi, Y., Ben Ali, N., Belhadj, W. et al. Photonic Band Gap Properties of One-dimensional Generalized Fibonacci Photonic Quasicrystal Containing Superconductor Material. J Supercond Nov Magn 32, 3541–3547 (2019). https://doi.org/10.1007/s10948-019-5099-z

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  • DOI: https://doi.org/10.1007/s10948-019-5099-z

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