Standard

Numerical approaches to simulation of multi-core fibers. / Chekhovskoy, I. S.; Paasonen, V. I.; Shtyrina, O. V. et al.

In: Journal of Computational Physics, Vol. 334, 01.04.2017, p. 31-44.

Research output: Contribution to journal › Article › peer-review

Harvard

Chekhovskoy, IS, Paasonen, VI, Shtyrina, OV & Fedoruk, MP 2017, 'Numerical approaches to simulation of multi-core fibers', Journal of Computational Physics, vol. 334, pp. 31-44. https://doi.org/10.1016/j.jcp.2016.12.056

APA

Chekhovskoy, I. S., Paasonen, V. I., Shtyrina, O. V., & Fedoruk, M. P. (2017). Numerical approaches to simulation of multi-core fibers. Journal of Computational Physics, 334, 31-44. https://doi.org/10.1016/j.jcp.2016.12.056

Vancouver

Chekhovskoy IS, Paasonen VI, Shtyrina OV, Fedoruk MP. Numerical approaches to simulation of multi-core fibers. Journal of Computational Physics. 2017 Apr 1;334:31-44. doi: 10.1016/j.jcp.2016.12.056

Author

Chekhovskoy, I. S. ; Paasonen, V. I. ; Shtyrina, O. V. et al. / Numerical approaches to simulation of multi-core fibers. In: Journal of Computational Physics. 2017 ; Vol. 334. pp. 31-44.

BibTeX

@article{411e196e62d94f81867f31ca95896449,
title = "Numerical approaches to simulation of multi-core fibers",
abstract = "We propose generalizations of two numerical algorithms to solve the system of linearly coupled nonlinear Schr{\"o}dinger equations (NLSEs) describing the propagation of light pulses in multi-core optical fibers. An iterative compact dissipative second-order accurate in space and fourth-order accurate in time scheme is the first numerical method. This compact scheme has strong stability due to inclusion of the additional dissipative term. The second algorithm is a generalization of the split-step Fourier method based on Pad{\'e} approximation of the matrix exponential. We compare a computational efficiency of both algorithms and show that the compact scheme is more efficient in terms of performance for solving a large system of coupled NLSEs. We also present the parallel implementation of the numerical algorithms for shared memory systems using OpenMP.",
keywords = "Compact finite-difference scheme, Multi-core fibers, Nonlinear fiber optics, Nonlinear Schr{\"o}dinger equation, Pad{\'e} approximant, Split-step Fourier method, MATRIX, NONLINEAR SCHRODINGER-EQUATIONS, DIFFERENCE SCHEME, Fade approximant, POWER, Nonlinear SchrOdinger equation, PROPAGATION",
author = "Chekhovskoy, {I. S.} and Paasonen, {V. I.} and Shtyrina, {O. V.} and Fedoruk, {M. P.}",
note = "Publisher Copyright: {\textcopyright} 2016 Elsevier Inc.",
year = "2017",
month = apr,
day = "1",
doi = "10.1016/j.jcp.2016.12.056",
language = "English",
volume = "334",
pages = "31--44",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",

}

RIS

TY - JOUR

T1 - Numerical approaches to simulation of multi-core fibers

AU - Chekhovskoy, I. S.

AU - Paasonen, V. I.

AU - Shtyrina, O. V.

AU - Fedoruk, M. P.

N1 - Publisher Copyright: © 2016 Elsevier Inc.

PY - 2017/4/1

Y1 - 2017/4/1

N2 - We propose generalizations of two numerical algorithms to solve the system of linearly coupled nonlinear Schrödinger equations (NLSEs) describing the propagation of light pulses in multi-core optical fibers. An iterative compact dissipative second-order accurate in space and fourth-order accurate in time scheme is the first numerical method. This compact scheme has strong stability due to inclusion of the additional dissipative term. The second algorithm is a generalization of the split-step Fourier method based on Padé approximation of the matrix exponential. We compare a computational efficiency of both algorithms and show that the compact scheme is more efficient in terms of performance for solving a large system of coupled NLSEs. We also present the parallel implementation of the numerical algorithms for shared memory systems using OpenMP.

AB - We propose generalizations of two numerical algorithms to solve the system of linearly coupled nonlinear Schrödinger equations (NLSEs) describing the propagation of light pulses in multi-core optical fibers. An iterative compact dissipative second-order accurate in space and fourth-order accurate in time scheme is the first numerical method. This compact scheme has strong stability due to inclusion of the additional dissipative term. The second algorithm is a generalization of the split-step Fourier method based on Padé approximation of the matrix exponential. We compare a computational efficiency of both algorithms and show that the compact scheme is more efficient in terms of performance for solving a large system of coupled NLSEs. We also present the parallel implementation of the numerical algorithms for shared memory systems using OpenMP.

KW - Compact finite-difference scheme

KW - Multi-core fibers

KW - Nonlinear fiber optics

KW - Nonlinear Schrödinger equation

KW - Padé approximant

KW - Split-step Fourier method

KW - MATRIX

KW - NONLINEAR SCHRODINGER-EQUATIONS

KW - DIFFERENCE SCHEME

KW - Fade approximant

KW - POWER

KW - Nonlinear SchrOdinger equation

KW - PROPAGATION

UR - http://www.scopus.com/inward/record.url?scp=85008881255&partnerID=8YFLogxK

U2 - 10.1016/j.jcp.2016.12.056

DO - 10.1016/j.jcp.2016.12.056

M3 - Article

VL - 334

SP - 31

EP - 44

JO - Journal of Computational Physics

JF - Journal of Computational Physics

SN - 0021-9991

ER -

ID: 9069498