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二阶孤子非线性傅里叶变换的相关传播模型

A correlation propagation model for nonlinear fourier transform of second order solitons.

作者信息

Zhang Wen Qi, Chan Terence H, Afshar V Shahraam

机构信息

Institute for Telecommunications Research, University of South Australia, Adelaide, Australia.

Laser Physics and Photonic Devices Laboratories, School of Engineering, University of South Australia, Adelaide, Australia.

出版信息

Sci Rep. 2021 Jan 28;11(1):2434. doi: 10.1038/s41598-021-82011-y.

DOI:10.1038/s41598-021-82011-y
PMID:33510295
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7844034/
Abstract

Inverse scattering transform or nonlinear Fourier transform (NFT) has been proposed for optic communication to increase channel capacity beyond the well known Shannon limit. Within NFT, solitons, as discrete outputs of the transform, can be a type of resource to carry information. Second-order solitons as the most basic higher order solitons show correlations among their parameters in the nonlinear Fourier domain as they propagate along a fibre. In this work, we report, for the first time, a correlation propagation model for second-order soliton pulses in the nonlinear Fourier domain. The model can predict covariance matrices of soliton pulses at any propagation distance using only the covariance matrices calculated at the input of the fibre with different phases in the nonlinear Fourier domain without the need of propagating the pulses.

摘要

逆散射变换或非线性傅里叶变换(NFT)已被提出用于光通信,以增加信道容量,超越著名的香农极限。在NFT中,孤子作为变换的离散输出,可以成为一种携带信息的资源。二阶孤子作为最基本的高阶孤子,在沿光纤传播时,其参数在非线性傅里叶域中呈现出相关性。在这项工作中,我们首次报道了二阶孤子脉冲在非线性傅里叶域中的相关性传播模型。该模型仅使用在光纤输入端计算得到的、在非线性傅里叶域中具有不同相位的协方差矩阵,就能预测孤子脉冲在任何传播距离处的协方差矩阵,而无需对脉冲进行传播。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0366/7844034/bf7674dc169f/41598_2021_82011_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0366/7844034/0cfbe5b01d02/41598_2021_82011_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0366/7844034/2bcdefa3c237/41598_2021_82011_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0366/7844034/bf7674dc169f/41598_2021_82011_Fig3_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0366/7844034/0cfbe5b01d02/41598_2021_82011_Fig1_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0366/7844034/2bcdefa3c237/41598_2021_82011_Fig2_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0366/7844034/bf7674dc169f/41598_2021_82011_Fig3_HTML.jpg

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本文引用的文献

1
Correlated Eigenvalues of Multi-Soliton Optical Communications.多孤子光通信的关联特征值。
Sci Rep. 2019 Apr 25;9(1):6399. doi: 10.1038/s41598-019-42510-5.
2
Capacity estimates for optical transmission based on the nonlinear Fourier transform.基于非线性傅里叶变换的光传输容量估计。
Nat Commun. 2016 Sep 9;7:12710. doi: 10.1038/ncomms12710.
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Inverse scattering transform analysis of rogue waves using local periodization procedure.利用局域周期化方法对随机波浪进行逆散射变换分析。
Sci Rep. 2016 Jul 7;6:29238. doi: 10.1038/srep29238.
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Science. 2010 Oct 15;330(6002):327-8. doi: 10.1126/science.1191708.