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RP Fiber Calculator is a convenient tool for calculations on optical fibers.
RP Fiber Power is an extremely flexible tool for designing and optimizing fiber devices.
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RP Fiber Power – Simulation and Design Software
for Fiber Optics, Amplifiers and Fiber Lasers

Example Case: Self-frequency Shift for Soliton Pulses by Stimulated Raman Scattering

Description of the Model

Here, we numerically simulate the propagation of soliton pulses in a passive fiber. Due to the delayed nonlinear response of the fiber, there is the effect of stimulated Raman scattering. The lower-frequency parts of the soliton spectrum are amplified via Raman scattering at the expense of the higher-frequency parts. As a result, we obtain a self-frequency shift of the solitons.

Results

Figure 1 shows the magnitude of the self-frequency shift in a fixed length of fiber (500 m) as a function of the initial pulse duration. The results are compared with those from an analytical calculation (see J. P. Gordon, “Theory of the soliton self-frequency shift”, Opt. Lett. 11 (10), 662 (1986)), and agree well with these.

self-frequency shift of soliton pulses

Figure 1: Magnitude of soliton self-frequency shift as a function of the pulse duration. The rectangles show numerically simulated values, while the line resulted from an analytical calculation.

Of course, the numerical model could easily be modified to take into account propagation losses or amplifier gain, higher-order dispersion, etc. Also, it would be possible to use any given Raman response function (determining the Raman gain spectrum).

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