光纤中光传播的分数阶非线性Schrödinger方程的数值模型

Proceedings of the 2nd International Conference on Telecommunications and Communication Engineering Pub Date : 2018-11-28 DOI:10.1145/3291842.3291898

Lingjun Yang, Aiying Yang, Peng Guo

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摘要

本文利用Riesz空间分数阶导数的光纤脉冲传输方程的Crank-Nicolson差分格式，得到分数阶非线性薛定谔方程。比较了单脉冲信号和多脉冲信号下光纤通信的分数阶傅里叶变换(FrFT)和分数阶非线性Schrödinger方程(FNSE)。我们发现，经FrFT和FNSE处理的NRZ-OOK单脉冲信号的形状和峰值是相似的。用于计算累积色散的FNSE数值模型与FrFT有一定的关系。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Numerical Model of Fractional Nonlinear Schrödinger Equation for the Light Propagation in Optical Fibers

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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Proceedings of the 2nd International Conference on Telecommunications and Communication Engineering

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