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RP Fiber Power – Simulation and Design Software for Fiber Optics, Amplifiers and Fiber Lasers

Example Case: Higher-order Soliton Pulses

Description of the Model

Here, we simulate the evolution of higher-order soliton pulses in a fiber. The chromatic dispersion is calculated with the mode solver. As there is significant third-order dispersion, the soliton evolution somewhat deviates from that expected for a fiber with only second-order dispersion – particularly if the initial pulse is rather short. The simulation is done with an initial pulse which would correspond to a 4th-order soliton if there were no higher-order dispersion.


Figure 1 shows the evolution of the temporal shape.

higher-order soliton pulse
Figure 1: Temporal profile of the pulse, as it evolves along the fiber.

The fiber length is taken to be just one soliton period (92 m).

Figure 2 shows the same as a color diagram. Here, one sees more clearly that the initial pulse is not fully reproduced in the end. This is due to higher-order dispersion of the fiber. For longer pulses, this effect would be less pronounced.

higher-order soliton pulse
Figure 2: Evolution of the temporal pulse profile.

Figure 3 shows the spectral evolution.

higher-order soliton pulse
Figure 3: Evolution of the optical spectrum.

Figure 4 is an animated diagram, showing the evolution of the spectrogram of the pulse.

higher-order soliton pulse
Figure 4: Evolution of the spectrogram of the pulse.

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