Rogue wave generation by inelastic quasi-soliton collisions in optical fibres

M. Eberhard, A. Savojardo, A. Maruta, R. A. Römer

Research output: Contribution to journalArticle

Abstract

Optical “rogue” waves are rare and very high intensity pulses of light that occur in optical devices such as communication fibers. They appear suddenly and can cause transmission errors and damage in optical communication systems. Indeed, the physics governing their dynamics is very similar to “monster” or “freak” waves on the Earth’s oceans, which are known to harm shipping. It is therefore important to characterize rogue wave generation, dynamics and, if possible, predictability. Here we demonstrate a simple cascade mechanism that drives the formation and emergence of rogue waves in the generalized non-linear Schrödinger equation with third-order dispersion. This generation mechanism is based on inelastic collisions of quasi-solitons and is well described by a resonant-like scattering behaviour for the energy transfer in pair-wise quasi-soliton collisions. Our theoretical and numerical results demonstrate a threshold for rogue wave emergence and the existence of a period of reduced amplitudes — a “calm before the storm” — preceding the arrival of a rogue wave event. Comparing with ultra-long time window simulations of 3.865 × 106ps we observe the statistics of rogue waves in optical fibres with an unprecedented level of detail and accuracy, unambiguously establishing the long-ranged character of the rogue wave power-distribution function over seven orders of magnitude.
Original languageEnglish
Pages (from-to)28086-28099
Number of pages14
JournalOptics Express
Volume25
Issue number23
DOIs
Publication statusPublished - 30 Oct 2017

Fingerprint

wave generation
solitary waves
optical fibers
collisions
inelastic collisions
nonlinear equations
arrivals
optical communication
telecommunication
cascades
oceans
communication
distribution functions
energy transfer
statistics
damage
physics
fibers
thresholds
causes

Bibliographical note

Published by The Optical Society under the terms of the Creative Commons Attribution 4.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI.

Funding: EPSRC for provision of computing resources through the MidPlus Regional
HPC Centre (EP/K000128/1), and the national facilities HECToR (e236, ge236) and ARCHER (e292). Hartree Centre for use of its facilities via BG/Q access projects HCBG055, HCBG092, HCBG109.

Keywords

  • Nonlinear optics
  • Pulse propagation
  • Temporal solitons

Cite this

Eberhard, M., Savojardo, A., Maruta, A., & Römer, R. A. (2017). Rogue wave generation by inelastic quasi-soliton collisions in optical fibres. Optics Express, 25(23), 28086-28099. https://doi.org/10.1364/OE.25.028086
Eberhard, M. ; Savojardo, A. ; Maruta, A. ; Römer, R. A. / Rogue wave generation by inelastic quasi-soliton collisions in optical fibres. In: Optics Express. 2017 ; Vol. 25, No. 23. pp. 28086-28099.
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Eberhard, M, Savojardo, A, Maruta, A & Römer, RA 2017, 'Rogue wave generation by inelastic quasi-soliton collisions in optical fibres', Optics Express, vol. 25, no. 23, pp. 28086-28099. https://doi.org/10.1364/OE.25.028086

Rogue wave generation by inelastic quasi-soliton collisions in optical fibres. / Eberhard, M.; Savojardo, A.; Maruta, A.; Römer, R. A.

In: Optics Express, Vol. 25, No. 23, 30.10.2017, p. 28086-28099.

Research output: Contribution to journalArticle

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AU - Eberhard, M.

AU - Savojardo, A.

AU - Maruta, A.

AU - Römer, R. A.

N1 - Published by The Optical Society under the terms of the Creative Commons Attribution 4.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funding: EPSRC for provision of computing resources through the MidPlus Regional HPC Centre (EP/K000128/1), and the national facilities HECToR (e236, ge236) and ARCHER (e292). Hartree Centre for use of its facilities via BG/Q access projects HCBG055, HCBG092, HCBG109.

PY - 2017/10/30

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N2 - Optical “rogue” waves are rare and very high intensity pulses of light that occur in optical devices such as communication fibers. They appear suddenly and can cause transmission errors and damage in optical communication systems. Indeed, the physics governing their dynamics is very similar to “monster” or “freak” waves on the Earth’s oceans, which are known to harm shipping. It is therefore important to characterize rogue wave generation, dynamics and, if possible, predictability. Here we demonstrate a simple cascade mechanism that drives the formation and emergence of rogue waves in the generalized non-linear Schrödinger equation with third-order dispersion. This generation mechanism is based on inelastic collisions of quasi-solitons and is well described by a resonant-like scattering behaviour for the energy transfer in pair-wise quasi-soliton collisions. Our theoretical and numerical results demonstrate a threshold for rogue wave emergence and the existence of a period of reduced amplitudes — a “calm before the storm” — preceding the arrival of a rogue wave event. Comparing with ultra-long time window simulations of 3.865 × 106ps we observe the statistics of rogue waves in optical fibres with an unprecedented level of detail and accuracy, unambiguously establishing the long-ranged character of the rogue wave power-distribution function over seven orders of magnitude.

AB - Optical “rogue” waves are rare and very high intensity pulses of light that occur in optical devices such as communication fibers. They appear suddenly and can cause transmission errors and damage in optical communication systems. Indeed, the physics governing their dynamics is very similar to “monster” or “freak” waves on the Earth’s oceans, which are known to harm shipping. It is therefore important to characterize rogue wave generation, dynamics and, if possible, predictability. Here we demonstrate a simple cascade mechanism that drives the formation and emergence of rogue waves in the generalized non-linear Schrödinger equation with third-order dispersion. This generation mechanism is based on inelastic collisions of quasi-solitons and is well described by a resonant-like scattering behaviour for the energy transfer in pair-wise quasi-soliton collisions. Our theoretical and numerical results demonstrate a threshold for rogue wave emergence and the existence of a period of reduced amplitudes — a “calm before the storm” — preceding the arrival of a rogue wave event. Comparing with ultra-long time window simulations of 3.865 × 106ps we observe the statistics of rogue waves in optical fibres with an unprecedented level of detail and accuracy, unambiguously establishing the long-ranged character of the rogue wave power-distribution function over seven orders of magnitude.

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