Handling shocks and rogue waves in optical fibers

Jingsong He*, Shuwei Xu, Kappuswamy Porsezian, Patrice Tchofo Dinda, Dumitru Mihalache, Boris A. Malomed, Edwin Ding

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

In standard optical fibers, combined effects of dispersion and nonlinearity can generate critical effects of localization of energy, which are potentially harmful for the transmission of data. Using the nonlinear Schrödinger equation as the universal transmission model, we establish the existence of ultrashort light pulses, in the form of breathers on top of the continuous-wave (CW) background, and of structural discontinuities (SDCs), in the form of jumps of the breathers’ phase and group velocities (i.e., the SDC is a variety of an optical shock). We produce exact analytical solutions, which demonstrate that, passing the SDC point, the breathers are converted into rogue waves (RWs), which is a potentially penalizing nonlinear effect in optical telecommunications. On the other hand, numerical simulations demonstrate that the modulational instability of the underlying CW effectively replaces the abrupt transition by a smooth one, and makes the breathers and RWs strongly unstable close to the SDC point. This dynamical scenario, which may be effectively controlled by a frequency shift of the optical signal from the CW background, opens a way to mitigate the strong nonlinear effects. On the other hand, we also consider possibilities to stabilize the RWs, for their possible use in other settings.

Original languageEnglish
Article number203
JournalRomanian Journal of Physics
Volume62
Issue number1-2
StatePublished - 2017

Funding

FundersFunder number
US-Israel
National Science Foundation
Department of Science and Technology, Republic of South Africa
Council of Scientific and Industrial Research, India2015616
United States-Israel Binational Science Foundation
National Natural Science Foundation of China11271210
Indo-French Centre for the Promotion of Advanced Research
Ningbo University
National Board for Higher Mathematics

    Keywords

    • Breather solitons
    • Optical fibers
    • Rogue waves
    • Ultrashort light pulses

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