Nonlinear and dispersive effects on dark soliton interaction in photonic crystal fiber

IF 2.5 4区工程技术 Q3 ENGINEERING, ELECTRICAL & ELECTRONIC

Journal of Computational Electronics Pub Date : 2025-07-02 DOI:10.1007/s10825-025-02371-w

Mohammed Salim Jasim AL-Taie

{"title":"Nonlinear and dispersive effects on dark soliton interaction in photonic crystal fiber","authors":"Mohammed Salim Jasim AL-Taie","doi":"10.1007/s10825-025-02371-w","DOIUrl":null,"url":null,"abstract":"<div><p>This paper presents a numerical framework in MATLAB for solving the generalized nonlinear Schrödinger equation (GNLSE) using adaptive algorithms and the split Fourier method. It simulates soliton-wave interactions in optical fibers, taking into account high-order dispersion (HOD), nonlinear mechanisms (such as SPM, Raman, and Brillion), and the effect of soliton initial divergence. The results show that the dispersion coefficients (<i>β</i>₂ and <i>β</i>₄) govern the stability and interactions of solitons, causing phenomena such as spectrum splitting and the formation of dispersive waves. Mechanisms for controlling soliton fusion/repulsion via initial separation and relative phase are also revealed, with typical accuracy < 0.1%. The framework offers a computational speedup of up to 10 times, supporting the design of optical communication systems, frequency combs, and pulse compressors. The model can be generalized to study quantum phase transitions and soliton interactions in multilayer photonic crystals, with potential extension for future algebraic modeling.</p></div>","PeriodicalId":620,"journal":{"name":"Journal of Computational Electronics","volume":"24 4","pages":""},"PeriodicalIF":2.5000,"publicationDate":"2025-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Computational Electronics","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s10825-025-02371-w","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}

引用次数: 0

Abstract

This paper presents a numerical framework in MATLAB for solving the generalized nonlinear Schrödinger equation (GNLSE) using adaptive algorithms and the split Fourier method. It simulates soliton-wave interactions in optical fibers, taking into account high-order dispersion (HOD), nonlinear mechanisms (such as SPM, Raman, and Brillion), and the effect of soliton initial divergence. The results show that the dispersion coefficients (β₂ and β₄) govern the stability and interactions of solitons, causing phenomena such as spectrum splitting and the formation of dispersive waves. Mechanisms for controlling soliton fusion/repulsion via initial separation and relative phase are also revealed, with typical accuracy < 0.1%. The framework offers a computational speedup of up to 10 times, supporting the design of optical communication systems, frequency combs, and pulse compressors. The model can be generalized to study quantum phase transitions and soliton interactions in multilayer photonic crystals, with potential extension for future algebraic modeling.

查看原文本刊更多论文

光子晶体光纤中暗孤子相互作用的非线性和色散效应

本文提出了一种利用自适应算法和分裂傅立叶方法求解广义非线性Schrödinger方程（GNLSE）的MATLAB数值框架。它模拟了光纤中孤子与波的相互作用，考虑了高阶色散（HOD）、非线性机制（如SPM、拉曼和brilion）以及孤子初始散度的影响。结果表明，色散系数（β 2和β 4）控制着孤子的稳定性和相互作用，导致谱分裂和色散波的形成等现象。还揭示了通过初始分离和相对相位控制孤子融合/排斥的机制，典型精度为0.1%。该框架提供了高达10倍的计算加速，支持光通信系统、频率梳和脉冲压缩器的设计。该模型可以推广到研究多层光子晶体中的量子相变和孤子相互作用，并有可能扩展到未来的代数建模中。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Journal of Computational Electronics ENGINEERING, ELECTRICAL & ELECTRONIC-PHYSICS, APPLIED

CiteScore

4.50

自引率

4.80%

发文量

142

审稿时长

>12 weeks

期刊介绍： he Journal of Computational Electronics brings together research on all aspects of modeling and simulation of modern electronics. This includes optical, electronic, mechanical, and quantum mechanical aspects, as well as research on the underlying mathematical algorithms and computational details. The related areas of energy conversion/storage and of molecular and biological systems, in which the thrust is on the charge transport, electronic, mechanical, and optical properties, are also covered. In particular, we encourage manuscripts dealing with device simulation; with optical and optoelectronic systems and photonics; with energy storage (e.g. batteries, fuel cells) and harvesting (e.g. photovoltaic), with simulation of circuits, VLSI layout, logic and architecture (based on, for example, CMOS devices, quantum-cellular automata, QBITs, or single-electron transistors); with electromagnetic simulations (such as microwave electronics and components); or with molecular and biological systems. However, in all these cases, the submitted manuscripts should explicitly address the electronic properties of the relevant systems, materials, or devices and/or present novel contributions to the physical models, computational strategies, or numerical algorithms.