Tunable Multi-Band-Stop Filters Using Generalized Fibonacci Photonic Crystals for Optical Communication Applications

Naim Ben Ali, Serhan Alshammari, Youssef Trabelsi, Haitham Alsaif, Omar Kahouli and Zied Elleuch
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Naim Ben Ali: Department of Industrial Engineering, College of Engineering, University of Ha’il, Ha’il 2440, Saudi Arabia
Serhan Alshammari: Department of Industrial Engineering, College of Engineering, University of Ha’il, Ha’il 2440, Saudi Arabia
Youssef Trabelsi: Photovoltaic and Semiconductor Materials Laboratory, National Engineering School of Tunis, University of Tunis El Manar, Tunis 1002, Tunisia
Haitham Alsaif: Department of Electrical Engineering, College of Engineering, University of Ha’il, Ha’il 2440, Saudi Arabia
Omar Kahouli: Department of Electronics Engineering, Applied College, University of Ha’il, Ha’il 2440, Saudi Arabia
Zied Elleuch: Department of Computer Science, Applied College, University of Ha’il, Ha’il 2440, Saudi Arabia

Mathematics, 2022, vol. 10, issue 8, 1-10

Abstract: In this study, a numerical investigation of photonic quasi-periodic Generalized Fibonacci (GF) (m, n) sequences is carried out in the visible spectrum. The transfer matrix method is employed to study the behavior of wave propagation through the photonic structures. Firstly and to highlight the importance of the GF structure, its transmittance spectrum is compared to those of periodic and ordinary Fibonacci structures. It is shown that the GF structure permits one to obtain multi-photonic band gaps (PBGs) separated by several resonance modes. The variation in the parameter m of the GF ( m , 1) structure allows for the tuning of the number, the position and the width of these bands. By changing the parameter m, the wavelengths (650, 850, 1300, and 1550 nm) of the plastic and glass optical fibers can be allowed or forbidden to transmit through the structure according to the value of this parameter. In contrast, the variation in the parameter n for GF (1, n ) hides all PBGs and only permits the appearance of several Kiessig fringes. The proposed structures can find application as tunable multi-band-stop filters for optical fiber wavelengths.

Keywords: generalized Fibonacci sequences; photonic; transfer matrix method; band-stop filters; optical communication; photonic band gap (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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