A novel numerical investigation of fiber Bragg gratings with dispersive reflectivity having polynomial law of nonlinearity

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Titel: A novel numerical investigation of fiber Bragg gratings with dispersive reflectivity having polynomial law of nonlinearity
Autoren: Hira Tariq, Maria Iftikhar, Wiaojan Qiao, Faisal Javed, Dragan Pamucar, Mamo Abebe Ashebo, Mansour Shrahilii
Quelle: Scientific Reports, Vol 15, Iss 1, Pp 1-27 (2025)
Verlagsinformationen: Nature Portfolio, 2025.
Publikationsjahr: 2025
Bestand: LCC:Medicine
LCC:Science
Schlagwörter: Fiber Bragg gratings, Cubic–quintic–septic form, Residual power series technique, Conformable derivative, Medicine, Science
Beschreibung: Abstract Fiber Bragg gratings represent a pivotal advancement in the field of photonics and optical fiber technology. The numerical modeling of fiber Bragg gratings is essential for understanding their optical behavior and optimizing their performance for specific applications. In this paper, numerical solutions for the revered optical fiber Bragg gratings that are considered with a cubic-quintic-septic form of nonlinear medium are constructed first time by using an iterative technique named as residual power series technique (RPST) via conformable derivative. The competency of the technique is examined by several numerical examples. By considering the suitable values of parameters, the power series solutions are illustrated by sketching 2D, 3D, and contour profiles. The results obtained by employing the RPST are compared with exact solutions to reveal that the method is easy to implement, straightforward and convenient to handle a wide range of fractional order systems in fiber Bragg gratings. The obtained solutions can provide help to visualize how light propagates or deforms due to dispersion or nonlinearity.
Publikationsart: article
Dateibeschreibung: electronic resource
Sprache: English
ISSN: 2045-2322
Relation: https://doaj.org/toc/2045-2322
DOI: 10.1038/s41598-025-12437-1
Zugangs-URL: https://doaj.org/article/87b8540f0a3a46a3bd439ad28b67000c
Dokumentencode: edsdoj.87b8540f0a3a46a3bd439ad28b67000c
Datenbank: Directory of Open Access Journals
Beschreibung
Abstract:Abstract Fiber Bragg gratings represent a pivotal advancement in the field of photonics and optical fiber technology. The numerical modeling of fiber Bragg gratings is essential for understanding their optical behavior and optimizing their performance for specific applications. In this paper, numerical solutions for the revered optical fiber Bragg gratings that are considered with a cubic-quintic-septic form of nonlinear medium are constructed first time by using an iterative technique named as residual power series technique (RPST) via conformable derivative. The competency of the technique is examined by several numerical examples. By considering the suitable values of parameters, the power series solutions are illustrated by sketching 2D, 3D, and contour profiles. The results obtained by employing the RPST are compared with exact solutions to reveal that the method is easy to implement, straightforward and convenient to handle a wide range of fractional order systems in fiber Bragg gratings. The obtained solutions can provide help to visualize how light propagates or deforms due to dispersion or nonlinearity.
ISSN:20452322
DOI:10.1038/s41598-025-12437-1