Stochastic calculations for fibre Raman amplifiers with randomly varying birefringence

Vladimir L. Kalashnikov; Sergey Sergeyev

Abstract

For the first time for the model of real-world forward-pumped fibre Raman amplifier with the randomly varying birefringence, the stochastic calculations have been done numerically based on the Kloeden-Platen-Schurz algorithm. The results obtained for the averaged gain and gain fluctuations as a function of polarization mode dispersion (PMD) parameter agree quantitatively with the results of previously developed analytical model. Simultaneously, the direct numerical simulations demonstrate an increased stochastisation (maximum in averaged gain variation) within the region of the polarization mode dispersion parameter of 0.1÷0.3 ps/km^1/2. The results give an insight into margins of applicability of a generic multi-scale technique widely used to derive coupled Manakov equations and allow generalizing analytic model with accounting for pump depletion, group-delay dispersion and Kerr-nonlinearity that is of great interest for development of the high-transmission-rates optical networks.

Original language	English
Pages	54
Number of pages	1
Publication status	Published - 2015
Event	8th Chaotic Modeling and Simutation international conference - Henri poicaré Insitute, Paris, France Duration: 26 May 2015 → 29 May 2015

Conference

Conference	8th Chaotic Modeling and Simutation international conference
Abbreviated title	CHAOS 2015
Country/Territory	France
City	Paris
Period	26/05/15 → 29/05/15

Bibliographical note

Book of Abstracts of the 8th Chaotic Modeling and Simulation International
Conference (Paris, France: 26-29 May, 2015). Published by: ISAS.
Editors: Christos H Skiadas, Yiannis Dimotikalis. ISBN: 978-618-5180-00-3;
eISBN: 978-618-5180-01-0

Keywords

stochastic modeling
Raman amplifier
fibre optic communications

Cite this

@conference{06c4682ccdf04e879feb093e66b54c48,

title = "Stochastic calculations for fibre Raman amplifiers with randomly varying birefringence",

abstract = "For the first time for the model of real-world forward-pumped fibre Raman amplifier with the randomly varying birefringence, the stochastic calculations have been done numerically based on the Kloeden-Platen-Schurz algorithm. The results obtained for the averaged gain and gain fluctuations as a function of polarization mode dispersion (PMD) parameter agree quantitatively with the results of previously developed analytical model. Simultaneously, the direct numerical simulations demonstrate an increased stochastisation (maximum in averaged gain variation) within the region of the polarization mode dispersion parameter of 0.1÷0.3 ps/km1/2. The results give an insight into margins of applicability of a generic multi-scale technique widely used to derive coupled Manakov equations and allow generalizing analytic model with accounting for pump depletion, group-delay dispersion and Kerr-nonlinearity that is of great interest for development of the high-transmission-rates optical networks.",

keywords = "stochastic modeling, Raman amplifier, fibre optic communications",

author = "Kalashnikov, {Vladimir L.} and Sergey Sergeyev",

note = "Book of Abstracts of the 8th Chaotic Modeling and Simulation International Conference (Paris, France: 26-29 May, 2015). Published by: ISAS. Editors: Christos H Skiadas, Yiannis Dimotikalis. ISBN: 978-618-5180-00-3; eISBN: 978-618-5180-01-0; 8th Chaotic Modeling and Simutation international conference, CHAOS 2015 ; Conference date: 26-05-2015 Through 29-05-2015",

year = "2015",

language = "English",

pages = "54",

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TY - CONF

T1 - Stochastic calculations for fibre Raman amplifiers with randomly varying birefringence

AU - Kalashnikov, Vladimir L.

AU - Sergeyev, Sergey

N1 - Book of Abstracts of the 8th Chaotic Modeling and Simulation International Conference (Paris, France: 26-29 May, 2015). Published by: ISAS. Editors: Christos H Skiadas, Yiannis Dimotikalis. ISBN: 978-618-5180-00-3; eISBN: 978-618-5180-01-0

PY - 2015

Y1 - 2015

N2 - For the first time for the model of real-world forward-pumped fibre Raman amplifier with the randomly varying birefringence, the stochastic calculations have been done numerically based on the Kloeden-Platen-Schurz algorithm. The results obtained for the averaged gain and gain fluctuations as a function of polarization mode dispersion (PMD) parameter agree quantitatively with the results of previously developed analytical model. Simultaneously, the direct numerical simulations demonstrate an increased stochastisation (maximum in averaged gain variation) within the region of the polarization mode dispersion parameter of 0.1÷0.3 ps/km1/2. The results give an insight into margins of applicability of a generic multi-scale technique widely used to derive coupled Manakov equations and allow generalizing analytic model with accounting for pump depletion, group-delay dispersion and Kerr-nonlinearity that is of great interest for development of the high-transmission-rates optical networks.

AB - For the first time for the model of real-world forward-pumped fibre Raman amplifier with the randomly varying birefringence, the stochastic calculations have been done numerically based on the Kloeden-Platen-Schurz algorithm. The results obtained for the averaged gain and gain fluctuations as a function of polarization mode dispersion (PMD) parameter agree quantitatively with the results of previously developed analytical model. Simultaneously, the direct numerical simulations demonstrate an increased stochastisation (maximum in averaged gain variation) within the region of the polarization mode dispersion parameter of 0.1÷0.3 ps/km1/2. The results give an insight into margins of applicability of a generic multi-scale technique widely used to derive coupled Manakov equations and allow generalizing analytic model with accounting for pump depletion, group-delay dispersion and Kerr-nonlinearity that is of great interest for development of the high-transmission-rates optical networks.

KW - stochastic modeling

KW - Raman amplifier

KW - fibre optic communications

M3 - Abstract

SP - 54

T2 - 8th Chaotic Modeling and Simutation international conference

Y2 - 26 May 2015 through 29 May 2015

ER -