Tunable Multi-Band-Stop Filters Using Generalized Fibonacci Photonic Crystals for Optical Communication Applications
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 impor...
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2022-04-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2227-7390/10/8/1240 |
| _version_ | 1797434438477414400 |
|---|---|
| author | Naim Ben Ali Serhan Alshammari Youssef Trabelsi Haitham Alsaif Omar Kahouli Zied Elleuch |
| author_facet | Naim Ben Ali Serhan Alshammari Youssef Trabelsi Haitham Alsaif Omar Kahouli Zied Elleuch |
| author_sort | Naim Ben Ali |
| collection | DOAJ |
| description | 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 (<i>m</i>, 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, <i>n</i>) 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. |
| first_indexed | 2024-03-09T10:32:15Z |
| format | Article |
| id | doaj.art-98ba489069cd4cf8b85c8c5e0c48c226 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T10:32:15Z |
| publishDate | 2022-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-98ba489069cd4cf8b85c8c5e0c48c2262023-12-01T21:12:02ZengMDPI AGMathematics2227-73902022-04-01108124010.3390/math10081240Tunable Multi-Band-Stop Filters Using Generalized Fibonacci Photonic Crystals for Optical Communication ApplicationsNaim Ben Ali0Serhan Alshammari1Youssef Trabelsi2Haitham Alsaif3Omar Kahouli4Zied Elleuch5Department of Industrial Engineering, College of Engineering, University of Ha’il, Ha’il 2440, Saudi ArabiaDepartment of Industrial Engineering, College of Engineering, University of Ha’il, Ha’il 2440, Saudi ArabiaPhotovoltaic and Semiconductor Materials Laboratory, National Engineering School of Tunis, University of Tunis El Manar, Tunis 1002, TunisiaDepartment of Electrical Engineering, College of Engineering, University of Ha’il, Ha’il 2440, Saudi ArabiaDepartment of Electronics Engineering, Applied College, University of Ha’il, Ha’il 2440, Saudi ArabiaDepartment of Computer Science, Applied College, University of Ha’il, Ha’il 2440, Saudi ArabiaIn 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 (<i>m</i>, 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, <i>n</i>) 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.https://www.mdpi.com/2227-7390/10/8/1240generalized Fibonacci sequencesphotonictransfer matrix methodband-stop filtersoptical communicationphotonic band gap |
| spellingShingle | Naim Ben Ali Serhan Alshammari Youssef Trabelsi Haitham Alsaif Omar Kahouli Zied Elleuch Tunable Multi-Band-Stop Filters Using Generalized Fibonacci Photonic Crystals for Optical Communication Applications Mathematics generalized Fibonacci sequences photonic transfer matrix method band-stop filters optical communication photonic band gap |
| title | Tunable Multi-Band-Stop Filters Using Generalized Fibonacci Photonic Crystals for Optical Communication Applications |
| title_full | Tunable Multi-Band-Stop Filters Using Generalized Fibonacci Photonic Crystals for Optical Communication Applications |
| title_fullStr | Tunable Multi-Band-Stop Filters Using Generalized Fibonacci Photonic Crystals for Optical Communication Applications |
| title_full_unstemmed | Tunable Multi-Band-Stop Filters Using Generalized Fibonacci Photonic Crystals for Optical Communication Applications |
| title_short | Tunable Multi-Band-Stop Filters Using Generalized Fibonacci Photonic Crystals for Optical Communication Applications |
| title_sort | tunable multi band stop filters using generalized fibonacci photonic crystals for optical communication applications |
| topic | generalized Fibonacci sequences photonic transfer matrix method band-stop filters optical communication photonic band gap |
| url | https://www.mdpi.com/2227-7390/10/8/1240 |
| work_keys_str_mv | AT naimbenali tunablemultibandstopfiltersusinggeneralizedfibonacciphotoniccrystalsforopticalcommunicationapplications AT serhanalshammari tunablemultibandstopfiltersusinggeneralizedfibonacciphotoniccrystalsforopticalcommunicationapplications AT yousseftrabelsi tunablemultibandstopfiltersusinggeneralizedfibonacciphotoniccrystalsforopticalcommunicationapplications AT haithamalsaif tunablemultibandstopfiltersusinggeneralizedfibonacciphotoniccrystalsforopticalcommunicationapplications AT omarkahouli tunablemultibandstopfiltersusinggeneralizedfibonacciphotoniccrystalsforopticalcommunicationapplications AT ziedelleuch tunablemultibandstopfiltersusinggeneralizedfibonacciphotoniccrystalsforopticalcommunicationapplications |