Numerical model of fractional nonlinear Schrödinger equation for the light propagation in optical fibers

Lingjun Yang; Aiying Yang; Peng Guo

doi:10.1145/3291842.3291898

Numerical model of fractional nonlinear Schrödinger equation for the light propagation in optical fibers

Lingjun Yang, Aiying Yang, Peng Guo

光电学院

Beijing Institute of Technology

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

摘要

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.

源语言	英语
主期刊名	ICTCE 2018 - Proceedings of the 2018 2nd International Conference on Telecommunications and Communication Engineering
出版商	Association for Computing Machinery
页	122-127
页数	6
ISBN（电子版）	9781450365857
DOI	https://doi.org/10.1145/3291842.3291898
出版状态	已出版 - 28 11月 2018
活动	2nd International Conference on Telecommunications and Communication Engineering, ICTCE 2018 - Beijing, 中国期限: 28 10月 2018 → 30 10月 2018

出版系列

姓名	ACM International Conference Proceeding Series

会议

会议	2nd International Conference on Telecommunications and Communication Engineering, ICTCE 2018
国家/地区	中国
市	Beijing
时期	28/10/18 → 30/10/18

访问文件

10.1145/3291842.3291898

其它文件与链接

链接到 Scopus 的出版物

引用此

Yang, L., Yang, A., & Guo, P. (2018). Numerical model of fractional nonlinear Schrödinger equation for the light propagation in optical fibers. 在 ICTCE 2018 - Proceedings of the 2018 2nd International Conference on Telecommunications and Communication Engineering (页码 122-127). (ACM International Conference Proceeding Series). Association for Computing Machinery. https://doi.org/10.1145/3291842.3291898

Yang, Lingjun ; Yang, Aiying ; Guo, Peng. / Numerical model of fractional nonlinear Schrödinger equation for the light propagation in optical fibers. ICTCE 2018 - Proceedings of the 2018 2nd International Conference on Telecommunications and Communication Engineering. Association for Computing Machinery, 2018. 页码 122-127 (ACM International Conference Proceeding Series).

@inproceedings{9a358eeb7d5c49cb97c153624fe2735b,

title = "Numerical model of fractional nonlinear Schr{\"o}dinger equation for the light propagation in optical fibers",

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 Schr{\"o}dinger 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.",

keywords = "Fractional derivative, Nonlinear Schr{\"o}dinger equation, Optical fibers",

author = "Lingjun Yang and Aiying Yang and Peng Guo",

note = "Publisher Copyright: {\textcopyright} 2018 Association for Computing Machinery.; 2nd International Conference on Telecommunications and Communication Engineering, ICTCE 2018 ; Conference date: 28-10-2018 Through 30-10-2018",

year = "2018",

month = nov,

day = "28",

doi = "10.1145/3291842.3291898",

language = "English",

series = "ACM International Conference Proceeding Series",

publisher = "Association for Computing Machinery",

pages = "122--127",

booktitle = "ICTCE 2018 - Proceedings of the 2018 2nd International Conference on Telecommunications and Communication Engineering",

}

Yang, L, Yang, A & Guo, P 2018, Numerical model of fractional nonlinear Schrödinger equation for the light propagation in optical fibers. 在 ICTCE 2018 - Proceedings of the 2018 2nd International Conference on Telecommunications and Communication Engineering. ACM International Conference Proceeding Series, Association for Computing Machinery, 页码 122-127, 2nd International Conference on Telecommunications and Communication Engineering, ICTCE 2018, Beijing, 中国, 28/10/18. https://doi.org/10.1145/3291842.3291898

Numerical model of fractional nonlinear Schrödinger equation for the light propagation in optical fibers. / Yang, Lingjun; Yang, Aiying ; Guo, Peng.
ICTCE 2018 - Proceedings of the 2018 2nd International Conference on Telecommunications and Communication Engineering. Association for Computing Machinery, 2018. 页码 122-127 (ACM International Conference Proceeding Series).

科研成果: 书/报告/会议事项章节 › 会议稿件 › 同行评审

TY - GEN

T1 - Numerical model of fractional nonlinear Schrödinger equation for the light propagation in optical fibers

AU - Yang, Lingjun

AU - Yang, Aiying

AU - Guo, Peng

PY - 2018/11/28

Y1 - 2018/11/28

N2 - 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.

AB - 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.

KW - Fractional derivative

KW - Nonlinear Schrödinger equation

KW - Optical fibers

UR - http://www.scopus.com/inward/record.url?scp=85062835747&partnerID=8YFLogxK

U2 - 10.1145/3291842.3291898

DO - 10.1145/3291842.3291898

M3 - Conference contribution

AN - SCOPUS:85062835747

T3 - ACM International Conference Proceeding Series

SP - 122

EP - 127

BT - ICTCE 2018 - Proceedings of the 2018 2nd International Conference on Telecommunications and Communication Engineering

PB - Association for Computing Machinery

T2 - 2nd International Conference on Telecommunications and Communication Engineering, ICTCE 2018

Y2 - 28 October 2018 through 30 October 2018

ER -

Yang L, Yang A , Guo P. Numerical model of fractional nonlinear Schrödinger equation for the light propagation in optical fibers. 在 ICTCE 2018 - Proceedings of the 2018 2nd International Conference on Telecommunications and Communication Engineering. Association for Computing Machinery. 2018. 页码 122-127. (ACM International Conference Proceeding Series). doi: 10.1145/3291842.3291898

Numerical model of fractional nonlinear Schrödinger equation for the light propagation in optical fibers

摘要

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