具有色散反射率的库德里亚绍夫自相位调制定律的啁啾隙孤子

IF 1.9 4区 物理与天体物理 Q3 OPTICS Journal of the European Optical Society-Rapid Publications Pub Date : 2023-09-29 DOI:10.1051/jeos/2023038
Khalil Al-Ghafri
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引用次数: 0

摘要

本文研究了具有色散反射率的具有库德里亚绍夫自相位调制定律的啁啾隙孤子。因此,数学模型由耦合非线性Schrödinger方程(NLSE)组成,该方程描述了脉冲在光纤布拉格光栅(BGs)介质中的传播。为了得到这个复杂模型的可积形式,采用相位匹配条件推导出解析处理的等价方程。利用具有Jacobi椭圆函数(JEF)解的辅助方程方法,在JEF的模量接近1时提取出各种形式的孤子解。生成的啁啾隙孤子具有亮孤子、暗孤子、奇异孤子、w形孤子、扭结孤子、反扭结孤子和扭结-暗孤子等不同类型的结构。在此基础上,还产生了啁啾亮准孤子和啁啾暗准孤子两个孤子波。讨论了啁啾间隙孤子的动力学行为及其相应的啁啾。注意到自相位调制和色散反射率对脉冲的传播有显著的影响。这些详细的研究结果将有助于光纤光纤光栅领域的工程应用。
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Chirped gap solitons with Kudryashov’s law of self-phase modulation having dispersive reflectivity
The present study is devoted to investigate the chirped gap solitons with Kudryashov’s law of self-phase modulation having dispersive reflectivity. Thus, the mathematical model consists of coupled nonlinear Schrödinger equation (NLSE) that describes pulse propagation in a medium of fiber Bragg gratings (BGs). To reach an integrable form for this intricate model, the phase-matching condition is applied to derive equivalent equations that are handled analytically. By means of auxiliary equation method which possesses Jacobi elliptic function (JEF) solutions, various forms of soliton solutions are extracted when the modulus of JEF approaches 1. The generated chirped gap solitons have different types of structures such as bright, dark, singular, W-shaped, kink, anti-kink and Kink-dark solitons. Further to this, two soliton waves namely chirped bright quasi-soliton and chirped dark quasi-soliton are also created. The dynamic behaviors of chirped gap solitons are illustrated in addition to their corresponding chirp. It is noticed that self-phase modulation and dispersive reflectivity have remarkable influences on the pulse propagation. These detailed results may enhance the engineering applications related to the field of fiber BGs.
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来源期刊
CiteScore
2.40
自引率
0.00%
发文量
12
审稿时长
5 weeks
期刊介绍: Rapid progress in optics and photonics has broadened its application enormously into many branches, including information and communication technology, security, sensing, bio- and medical sciences, healthcare and chemistry. Recent achievements in other sciences have allowed continual discovery of new natural mysteries and formulation of challenging goals for optics that require further development of modern concepts and running fundamental research. The Journal of the European Optical Society – Rapid Publications (JEOS:RP) aims to tackle all of the aforementioned points in the form of prompt, scientific, high-quality communications that report on the latest findings. It presents emerging technologies and outlining strategic goals in optics and photonics. The journal covers both fundamental and applied topics, including but not limited to: Classical and quantum optics Light/matter interaction Optical communication Micro- and nanooptics Nonlinear optical phenomena Optical materials Optical metrology Optical spectroscopy Colour research Nano and metamaterials Modern photonics technology Optical engineering, design and instrumentation Optical applications in bio-physics and medicine Interdisciplinary fields using photonics, such as in energy, climate change and cultural heritage The journal aims to provide readers with recent and important achievements in optics/photonics and, as its name suggests, it strives for the shortest possible publication time.
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