TY - JOUR
T1 - Handling shocks and rogue waves in optical fibers
AU - He, Jingsong
AU - Xu, Shuwei
AU - Porsezian, Kappuswamy
AU - Tchofo Dinda, Patrice
AU - Mihalache, Dumitru
AU - Malomed, Boris A.
AU - Ding, Edwin
N1 - Publisher Copyright:
© 2017, Editura Academiei Romane. All rights reserved.
PY - 2017
Y1 - 2017
N2 - 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.
AB - 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.
KW - Breather solitons
KW - Optical fibers
KW - Rogue waves
KW - Ultrashort light pulses
UR - http://www.scopus.com/inward/record.url?scp=85019296277&partnerID=8YFLogxK
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AN - SCOPUS:85019296277
SN - 1221-146X
VL - 62
JO - Romanian Journal of Physics
JF - Romanian Journal of Physics
IS - 1-2
M1 - 203
ER -