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Nonlinear Fiber Optics - 4 ed. Agrawal

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12.1. Intrapulse Raman Scattering 463<br />

Figure 12.8: Measur<strong>ed</strong> spectra as a function of average input power when 110-fs pulse at wavelengths<br />

(a) 1400, (b) 1510, and (c) 1550 nm were launch<strong>ed</strong> into a fiber with its second ZDWL<br />

near 1510 nm (horizontal dash<strong>ed</strong> line). A darker shading represents higher power. Right panel<br />

shows the spectra at the 9-mW power level. (After Ref. [42]; c○2005 Elsevier.)<br />

lost to the NSR affects the soliton itself [26]. The requirement of energy conservation<br />

dictates that a soliton would become slightly wider as it loses energy to NSR, as N = 1<br />

must be maintain<strong>ed</strong>. This broadening is relatively small in practice if solitons lose energy<br />

slowly. Much more important is the requirement of momentum conservation. It<br />

dictates that, as NSR is emitt<strong>ed</strong> in the normal-GVD regime, the soliton should “recoil”<br />

further into the anomalous-GVD regime. This spectral recoil mechanism is responsible<br />

for the suppression of RIFS. Near the first ZDWL, spectral recoil is negligible because<br />

the RIFS forces soliton spectrum to shift away from this wavelength, and the loss of<br />

energy decreases as β 2 increases. However, the exact opposite occurs near the second<br />

ZDWL, where the RIFS moves the soliton closer to it, and the rate of energy loss to<br />

NSR increases drastically. The resulting spectral recoil r<strong>ed</strong>uces the RIFS until a steady<br />

state is reach<strong>ed</strong> in which spectral recoil is just large enough to nearly cancel the RIFS.<br />

The X-FROG technique as well as numerical simulations confirm the prec<strong>ed</strong>ing physical<br />

scenario [41]. Thus, we can conclude that the unusual dispersive properties of some<br />

highly nonlinear fibers are responsible for the suppression of RIFS in combination with<br />

the emission of NSR induc<strong>ed</strong> by higher-order dispersive effects.<br />

The pulse-propagation scenario seen in Figure 12.7 depends on the input wavelength<br />

of pulses because it sets the initial values of the dispersion parameters. In<br />

one study, 110-fs pulses were launch<strong>ed</strong> at wavelengths close to the second ZDWL<br />

(around 1510 nm) of a 1-m-long photonic crystal fiber [42]. Figure 12.8 shows the<br />

measur<strong>ed</strong> spectra at the fiber output as a function of the launch<strong>ed</strong> average power (at

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