{"title":"Numerical Model of Fractional Nonlinear Schrödinger Equation for the Light Propagation in Optical Fibers","authors":"Lingjun Yang, Aiying Yang, Peng Guo","doi":"10.1145/3291842.3291898","DOIUrl":null,"url":null,"abstract":"In this paper, we use the Crank-Nicolson (CN) difference scheme for the pulse transmission equation in fiber with the Riesz space fractional derivative to obtain the fractional nonlinear Schrodinger equations. We compare fractional Fourier transformation (FrFT) and fractional nonlinear Schrödinger equation (FNSE) for optical fiber communications with single pulse signal and multiple pulse signal. We find that the shape and peak value of NRZ-OOK single pulse signal processed by FrFT and FNSE are similar. And the numerical model of FNSE and FrFT used to calculate cumulative(CD) dispersion have a certain relationship.","PeriodicalId":283197,"journal":{"name":"Proceedings of the 2nd International Conference on Telecommunications and Communication Engineering","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 2nd International Conference on Telecommunications and Communication Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3291842.3291898","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
In this paper, we use the Crank-Nicolson (CN) difference scheme for the pulse transmission equation in fiber with the Riesz space fractional derivative to obtain the fractional nonlinear Schrodinger equations. We compare fractional Fourier transformation (FrFT) and fractional nonlinear Schrödinger equation (FNSE) for optical fiber communications with single pulse signal and multiple pulse signal. We find that the shape and peak value of NRZ-OOK single pulse signal processed by FrFT and FNSE are similar. And the numerical model of FNSE and FrFT used to calculate cumulative(CD) dispersion have a certain relationship.
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