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# Rate of frequency shift, ˙ δ f , predicted by Eq. (23) for two-component solitons and Kerr solitons in LN nanowaveguides; shown as solid (red) and dotted (black) curves respectively (for ν = 0). For the two-component solitons we plot the peak power as |A f | 2 + |As| 2 . Insets compare soliton power profiles at high and low powers. FF and SH of the two-component solitons are plotted as solid (red) and dashed (blue) curves respectively. Kerr soliton power profile shown as dotted (black) curve with the same total peak power. We found that ˙ δs/2 very closely followed the same trend as ˙ δ f for the two-component soliton in this case.

Source publication

We analyse Raman-induced self-frequency shift in two-component solitons supported by both quadratic and cubic nonlinearities. Treating Raman terms as a perturbation, we derive expressions for soliton velocity and frequency shifts of the fundamental frequency and second harmonic soliton components. We find these predictions compare well with simulat...

## Contexts in source publication

**Context 1**

... the quadratic limit, when the soliton has a significant SH component, we find that the FF frequency shift differs significantly from that expected for a Kerr soliton of the same peak power. This trend is illustrated in figure 3. We compare solitons of the same peak power as Eq. ...

**Context 2**

... figure 5 (c) we see that this recoil in the ν-µ plane is accompanied by a rapid frequency shift of the SH component, shown in the simulated spectrum and replicated by remarkably closely our predictions. We note that this frequency shift is similar to that shown in figure 3 (d) where δ s rapidly shifts as µ reduces and the soliton approaches the existence boundary. In this example we see the majority of the soliton energy is transferred to the SH as shown clearly in figure 5 (b) where again our predictions closely follow the initial stages of the simulation. ...

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