Stochastic anti-resonance in a fibre Raman amplifier

Vladimir L. Kalashnikov; Sergey V. Sergeyev

doi:10.1109/SCNO.2015.7324003

Stochastic anti-resonance in a fibre Raman amplifier

Vladimir L. Kalashnikov^*
, Sergey V. Sergeyev

^*Corresponding author for this work

Research output: Chapter in Book/Published conference output › Conference publication

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Abstract

Stochastic anti-resonance, that is resonant enhancement of randomness caused by polarization mode beatings, is analyzed both numerically and analytically on an example of fibre Raman amplifier with randomly varying birefringence. As a result of such anti-resonance, the polarization mode dispersion growth causes an escape of the signal state of polarization from a metastable state corresponding to the pulling of the signal to the pump state of polarization.This phenomenon reveals itself in abrupt growth of gain fluctuations as well as in dropping of Hurst parameter and Kramers length characterizing long memory in a system and noise induced escape from the polarization pulling state. The results based on analytical multiscale averaging technique agree perfectly with the numerical data obtained by direct numerical simulations of underlying stochastic differential equations. This challenging outcome would allow replacing the cumbersome numerical simulations for real-world extra-long high-speed communication systems.

Original language	English
Title of host publication	Spatiotemporal Complexity in Nonlinear Optics, SCNO 2015
Publisher	IEEE
Number of pages	3
ISBN (Print)	978-1-4673-8061-4
DOIs	https://doi.org/10.1109/SCNO.2015.7324003
Publication status	Published - 2015
Event	2015 Spatiotemporal Complexity in Nonlinear Optics - Como, Italy Duration: 31 Aug 2015 → 4 Sept 2015

Conference

Conference	2015 Spatiotemporal Complexity in Nonlinear Optics
Abbreviated title	SCNO 2015
Country/Territory	Italy
City	Como
Period	31/08/15 → 4/09/15

Bibliographical note

© 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

Funding: P7-PEOPLE-2012-IAPP (project GRIFFON, No. 324391)

Keywords

stochastic anti-resonance
fibre Raman amplifier
telecommunication systems
multi-scaling
stochastic differential equations

Access to Document

10.1109/SCNO.2015.7324003

Stochastic anti-resonance in a fibre Raman amplifier
© 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Accepted author manuscript, 384 KB

http://ieeexplore.ieee.org/xpl/articleDetails.jsp?reload=true&arnumber=7324003

Cite this

@inproceedings{992f15cdf95e4e70b5dbbd37061c776e,

title = "Stochastic anti-resonance in a fibre Raman amplifier",

abstract = "Stochastic anti-resonance, that is resonant enhancement of randomness caused by polarization mode beatings, is analyzed both numerically and analytically on an example of fibre Raman amplifier with randomly varying birefringence. As a result of such anti-resonance, the polarization mode dispersion growth causes an escape of the signal state of polarization from a metastable state corresponding to the pulling of the signal to the pump state of polarization.This phenomenon reveals itself in abrupt growth of gain fluctuations as well as in dropping of Hurst parameter and Kramers length characterizing long memory in a system and noise induced escape from the polarization pulling state. The results based on analytical multiscale averaging technique agree perfectly with the numerical data obtained by direct numerical simulations of underlying stochastic differential equations. This challenging outcome would allow replacing the cumbersome numerical simulations for real-world extra-long high-speed communication systems.",

keywords = "stochastic anti-resonance, fibre Raman amplifier, telecommunication systems, multi-scaling, stochastic differential equations",

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

note = "{\textcopyright} 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. Funding: P7-PEOPLE-2012-IAPP (project GRIFFON, No. 324391); 2015 Spatiotemporal Complexity in Nonlinear Optics, SCNO 2015 ; Conference date: 31-08-2015 Through 04-09-2015",

year = "2015",

doi = "10.1109/SCNO.2015.7324003",

language = "English",

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AU - Kalashnikov, Vladimir L.

AU - Sergeyev, Sergey V.

N1 - © 2015 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works. Funding: P7-PEOPLE-2012-IAPP (project GRIFFON, No. 324391)

PY - 2015

Y1 - 2015

N2 - Stochastic anti-resonance, that is resonant enhancement of randomness caused by polarization mode beatings, is analyzed both numerically and analytically on an example of fibre Raman amplifier with randomly varying birefringence. As a result of such anti-resonance, the polarization mode dispersion growth causes an escape of the signal state of polarization from a metastable state corresponding to the pulling of the signal to the pump state of polarization.This phenomenon reveals itself in abrupt growth of gain fluctuations as well as in dropping of Hurst parameter and Kramers length characterizing long memory in a system and noise induced escape from the polarization pulling state. The results based on analytical multiscale averaging technique agree perfectly with the numerical data obtained by direct numerical simulations of underlying stochastic differential equations. This challenging outcome would allow replacing the cumbersome numerical simulations for real-world extra-long high-speed communication systems.

AB - Stochastic anti-resonance, that is resonant enhancement of randomness caused by polarization mode beatings, is analyzed both numerically and analytically on an example of fibre Raman amplifier with randomly varying birefringence. As a result of such anti-resonance, the polarization mode dispersion growth causes an escape of the signal state of polarization from a metastable state corresponding to the pulling of the signal to the pump state of polarization.This phenomenon reveals itself in abrupt growth of gain fluctuations as well as in dropping of Hurst parameter and Kramers length characterizing long memory in a system and noise induced escape from the polarization pulling state. The results based on analytical multiscale averaging technique agree perfectly with the numerical data obtained by direct numerical simulations of underlying stochastic differential equations. This challenging outcome would allow replacing the cumbersome numerical simulations for real-world extra-long high-speed communication systems.

KW - stochastic anti-resonance

KW - fibre Raman amplifier

KW - telecommunication systems

KW - multi-scaling

KW - stochastic differential equations

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DO - 10.1109/SCNO.2015.7324003

M3 - Conference publication

AN - SCOPUS:84971669201

SN - 978-1-4673-8061-4

BT - Spatiotemporal Complexity in Nonlinear Optics, SCNO 2015

PB - IEEE

T2 - 2015 Spatiotemporal Complexity in Nonlinear Optics

Y2 - 31 August 2015 through 4 September 2015

ER -

Stochastic anti-resonance in a fibre Raman amplifier

Abstract

Conference

Bibliographical note

Keywords

Access to Document

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