TY - JOUR

T1 - Third-order riemann pulses in optical fibers

AU - Bongiovanni, Domenico

AU - Wetzel, Benjamin

AU - Li, Zhili

AU - Hu, Yi

AU - Wabnitz, Stefan

AU - Morandotti, Roberto

AU - Chen, Zhigang

N1 - Publisher Copyright: © 2020 Optical Society of America under the terms of the OSA Open Access Publishing Agreement.

PY - 2020/12/21

Y1 - 2020/12/21

N2 - We introduce the concept of third-order Riemann pulses in nonlinear optical fibers. These pulses are generated when properly tailored input pulses propagate through optical fibers in the presence of higher-order dispersion and Kerr nonlinearity. The local propagation speed of these optical wave packets is governed by their local amplitude, according to a rule that remains unchanged during propagation. Analytical and numerical results exhibit a good agreement, showing controllable pulse steepening and subsequent shock wave formation. Specifically, we found that the pulse steepening dynamic is predominantly determined by the action of higher-order dispersion, while the contribution of group velocity dispersion is merely associated with a shift of the shock formation time relative to the comoving frame of the pulse evolution. Unlike standard Riemann waves, which exclusively exist within the strong self-defocusing regime of the nonlinear Schrödinger equation, such third-order Riemann pulses can be generated under both anomalous and normal dispersion conditions. In addition, we show that the third-order Riemann pulse dynamics can be judiciously controlled by a phase chirping parameter directly included in the initial chirp profile of the pulse.

AB - We introduce the concept of third-order Riemann pulses in nonlinear optical fibers. These pulses are generated when properly tailored input pulses propagate through optical fibers in the presence of higher-order dispersion and Kerr nonlinearity. The local propagation speed of these optical wave packets is governed by their local amplitude, according to a rule that remains unchanged during propagation. Analytical and numerical results exhibit a good agreement, showing controllable pulse steepening and subsequent shock wave formation. Specifically, we found that the pulse steepening dynamic is predominantly determined by the action of higher-order dispersion, while the contribution of group velocity dispersion is merely associated with a shift of the shock formation time relative to the comoving frame of the pulse evolution. Unlike standard Riemann waves, which exclusively exist within the strong self-defocusing regime of the nonlinear Schrödinger equation, such third-order Riemann pulses can be generated under both anomalous and normal dispersion conditions. In addition, we show that the third-order Riemann pulse dynamics can be judiciously controlled by a phase chirping parameter directly included in the initial chirp profile of the pulse.

KW - NONRETURN-TO-ZERO

KW - WAVE-TRAINS

KW - ROGUE WAVES

KW - GENERATION

KW - WATER

KW - INSTABILITY

UR - http://www.scopus.com/inward/record.url?scp=85098707198&partnerID=8YFLogxK

U2 - 10.1364/OE.411736

DO - 10.1364/OE.411736

M3 - Article

C2 - 33379524

AN - SCOPUS:85098707198

VL - 28

SP - 39827

EP - 39840

JO - Optics Express

JF - Optics Express

SN - 1094-4087

IS - 26

ER -