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Nonlinear Fiber Optics - 4 ed. Agrawal

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12.1. Intrapulse Raman Scattering 461<br />

Figure 12.6: (a) X-FROG spectrogram of trapp<strong>ed</strong> pulses at the output of a 140-m-long fiber.<br />

(b) Measur<strong>ed</strong> wavelengths of slow (circles) and fast (squares) polarization components for three<br />

different fiber lengths. Fill<strong>ed</strong> circles show power of the fast component at the central wavelength.<br />

(After Ref. [32]; c○2002 OSA.)<br />

the peak power of the amplifi<strong>ed</strong> pulse becomes comparable to that of the soliton [32].<br />

Such a trapping mechanism can be us<strong>ed</strong> for ultrafast optical switching by selectively<br />

dragging one pulse from a pulse train [33].<br />

The prec<strong>ed</strong>ing approach can be us<strong>ed</strong> to create more than two Raman solitons. The<br />

basic idea consists of creating multiple pulses with different peak powers from a single<br />

pump pulse. For example, if the pulse is first pass<strong>ed</strong> through a high-birefringence fiber<br />

of short length and large core diameter so that nonlinear effects are negligible inside it,<br />

the pulse will split into two orthogonally polariz<strong>ed</strong> pulses with a temporal spacing set<br />

by the birefringence of this fiber. If these two pulses are then launch<strong>ed</strong> into a highly<br />

nonlinear birefringent fiber whose principal axes are orient<strong>ed</strong> at an angle to the first<br />

fiber, each pulse would create two Raman solitons, resulting in the formation of four<br />

solitons at four different wavelengths. Time-domain multiplexing or polarization-mode<br />

dispersion inside a fiber can be us<strong>ed</strong> to make multiple copies of one pulse with different<br />

amplitudes, each of which then creates a Raman soliton at a different wavelength in the<br />

same highly nonlinear fiber [34].<br />

12.1.4 Suppression of Raman-Induc<strong>ed</strong> Frequency Shifts<br />

One may ask whether the RIFS of solitons can be suppress<strong>ed</strong> under some conditions.<br />

This question attract<strong>ed</strong> attention soon after this phenomenon was discover<strong>ed</strong>, and several<br />

techniques have been propos<strong>ed</strong> for answering it [35]–[39]. Bandwidth-limit<strong>ed</strong><br />

amplification of solitons for RIFS suppression was suggest<strong>ed</strong> in 1988 [35] and verifi<strong>ed</strong><br />

in a 1989 experiment [37]. More recently, the unusual dispersive properties of photonic<br />

crystal fibers have been utiliz<strong>ed</strong> for this purpose [39]. In this section we focus on this<br />

later scheme.<br />

The GVD parameter β 2 of some microstructur<strong>ed</strong> fibers vanishes at two wavelengths,<br />

one lying in the visible region and the other locat<strong>ed</strong> in the infrar<strong>ed</strong> region.<br />

The dispersion slope, govern<strong>ed</strong> by the TOD parameter β 3 , is positive near the first zero<br />

but becomes negative near the second one. This change in the sign of β 3 changes the

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