{"title":"Modulation instability analysis in a birefringence FBG structure driven by compete nonlinearities and trapping potential","authors":"Ilanchezhiyan Inbavalli , Murugan Senthil Mani Rajan , Thangavel Alagesan , Kumarappa Subramanian","doi":"10.1016/j.ijleo.2025.172553","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we investigate modulation instability (MI) in a coupled nonlinear Schrödinger (NLS) system incorporating quintic nonlinearity and gain/loss parameters, using linear stability analysis (LSA). The model is designed to describe the dynamics of nonlinear wave propagation in non-Kerr birefringent media and fiber Bragg grating (FBG) structures. By employing two-dimensional and three-dimensional representations, we analyze the influence of various system parameters – including nonlinear coupling terms and amplification coefficients – on the shape, bandwidth, and location of the MI gain spectra. The results provide insights into how these parameters control the onset and evolution of instability in periodic nonlinear media. This theoretical prediction offers valuable guidance for the experimental realization of MI in nonlinear periodic structures, such as fiber Bragg gratings and photonic crystal fibers, and contributes to the advancement of instability-based applications in nonlinear photonics.</div></div>","PeriodicalId":19513,"journal":{"name":"Optik","volume":"340 ","pages":"Article 172553"},"PeriodicalIF":3.1000,"publicationDate":"2025-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optik","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0030402625003419","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Engineering","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we investigate modulation instability (MI) in a coupled nonlinear Schrödinger (NLS) system incorporating quintic nonlinearity and gain/loss parameters, using linear stability analysis (LSA). The model is designed to describe the dynamics of nonlinear wave propagation in non-Kerr birefringent media and fiber Bragg grating (FBG) structures. By employing two-dimensional and three-dimensional representations, we analyze the influence of various system parameters – including nonlinear coupling terms and amplification coefficients – on the shape, bandwidth, and location of the MI gain spectra. The results provide insights into how these parameters control the onset and evolution of instability in periodic nonlinear media. This theoretical prediction offers valuable guidance for the experimental realization of MI in nonlinear periodic structures, such as fiber Bragg gratings and photonic crystal fibers, and contributes to the advancement of instability-based applications in nonlinear photonics.
期刊介绍:
Optik publishes articles on all subjects related to light and electron optics and offers a survey on the state of research and technical development within the following fields:
Optics:
-Optics design, geometrical and beam optics, wave optics-
Optical and micro-optical components, diffractive optics, devices and systems-
Photoelectric and optoelectronic devices-
Optical properties of materials, nonlinear optics, wave propagation and transmission in homogeneous and inhomogeneous materials-
Information optics, image formation and processing, holographic techniques, microscopes and spectrometer techniques, and image analysis-
Optical testing and measuring techniques-
Optical communication and computing-
Physiological optics-
As well as other related topics.