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

School of Optics and Photonics

Beijing Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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.

Original language	English
Title of host publication	ICTCE 2018 - Proceedings of the 2018 2nd International Conference on Telecommunications and Communication Engineering
Publisher	Association for Computing Machinery
Pages	122-127
Number of pages	6
ISBN (Electronic)	9781450365857
DOIs	https://doi.org/10.1145/3291842.3291898
Publication status	Published - 28 Nov 2018
Event	2nd International Conference on Telecommunications and Communication Engineering, ICTCE 2018 - Beijing, China Duration: 28 Oct 2018 → 30 Oct 2018

Publication series

Name	ACM International Conference Proceeding Series

Conference

Conference	2nd International Conference on Telecommunications and Communication Engineering, ICTCE 2018
Country/Territory	China
City	Beijing
Period	28/10/18 → 30/10/18

Keywords

Fractional derivative
Nonlinear Schrödinger equation
Optical fibers

Access to Document

10.1145/3291842.3291898

Cite this

Yang, L., Yang, A., & Guo, P. (2018). Numerical model of fractional nonlinear Schrödinger equation for the light propagation in optical fibers. In ICTCE 2018 - Proceedings of the 2018 2nd International Conference on Telecommunications and Communication Engineering (pp. 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. pp. 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. in ICTCE 2018 - Proceedings of the 2018 2nd International Conference on Telecommunications and Communication Engineering. ACM International Conference Proceeding Series, Association for Computing Machinery, pp. 122-127, 2nd International Conference on Telecommunications and Communication Engineering, ICTCE 2018, Beijing, China, 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. p. 122-127 (ACM International Conference Proceeding Series).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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

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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. In ICTCE 2018 - Proceedings of the 2018 2nd International Conference on Telecommunications and Communication Engineering. Association for Computing Machinery. 2018. p. 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

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