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Nonlinear Fiber Optics - 4 ed. Agrawal

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310 Chapter 8. Stimulat<strong>ed</strong> Raman Scattering<br />

Figure 8.22: Pulse spectra at the output of a 1-km-long fiber for several peak powers of 0.83-ps<br />

input pulses. The input wavelength of 1.341 μm lies in the anomalous-GVD region of the fiber.<br />

(After Ref. [155]; c○1987 IEEE.)<br />

λ p = 1.317 μm, the Stokes bands are more intense because SRS is more effective in<br />

transferring pulse energy toward low frequencies.<br />

Spectral changes for input pulses launch<strong>ed</strong> well into the anomalous-GVD regime<br />

are shown in Figure 8.22 for λ p = 1.341 μm and a fiber length of 1 km. Pulse spectra<br />

change considerably with an increase in the input peak power. Three Stokes bands<br />

appear for P 0 = 530 W (topmost curve). An anti-Stokes band carrying 5 to 10% of the<br />

input energy also appears. In the time domain, a separate Raman pulse is associat<strong>ed</strong><br />

with each of the Stokes bands. The autocorrelation measurements show that the widths<br />

of these Raman solitons are ∼300 fs [155]. The width depends considerably on the<br />

fiber length; the smallest width was 55 fs for 150-ps wide input pulses. When input<br />

peak power was increas<strong>ed</strong> to 5 kW, multiple Stokes bands could be generat<strong>ed</strong> in a 20-<br />

m-long fiber. The fourth-order Stokes band near 1.3 μm serv<strong>ed</strong> as a pump to generate a<br />

continuum that extend<strong>ed</strong> up to 1.7 μm. Using a two-stage compression configuration,<br />

the pulse width could be r<strong>ed</strong>uc<strong>ed</strong> to 18 fs, a pulse consisting of only three optical<br />

cycles. This 1987 experiment constitutes an early example of the formation of Raman<br />

solitons and supercontinuum generation. This phenomenon has attract<strong>ed</strong> considerable<br />

attention in recent years [170]–[172] with the advent of highly nonlinear fibers and is<br />

discuss<strong>ed</strong> in detail in Chapter 12.<br />

Raman solitons have also been generat<strong>ed</strong> using 100-ps pump pulses from a modelock<strong>ed</strong><br />

Nd:YAG laser operating at 1.32 μm. In one experiment, the use of a conventional<br />

fiber with the zero-dispersion wavelength near 1.3 μm l<strong>ed</strong> to 100-fs Raman

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