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Nonlinear Fiber Optics - 4 ed. Agrawal

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11.1. <strong>Nonlinear</strong> Parameter 431<br />

Figure 11.4: Experimental setup for measuring n 2 using a technique bas<strong>ed</strong> on FWM-induc<strong>ed</strong><br />

sidebands. (After Ref. [12]; c○1993 IEEE.)<br />

operating at 1.553 μm was modulat<strong>ed</strong> externally to produce 25-ns pulses at a repetition<br />

rate of 4 MHz. Such pulses were amplifi<strong>ed</strong> using two cascad<strong>ed</strong> fiber amplifiers and then<br />

launch<strong>ed</strong> into a 10.1 km of DSF. Spontaneous-emission noise add<strong>ed</strong> by the amplifiers<br />

provid<strong>ed</strong> a se<strong>ed</strong> for the modulation instability. As a result, the optical spectrum at the<br />

fiber output exhibit<strong>ed</strong> two well-develop<strong>ed</strong> sidebands, similar to those seen in Figure<br />

5.2. The amplitude of these sidebands chang<strong>ed</strong> with the peak power of pulses and was<br />

us<strong>ed</strong> to d<strong>ed</strong>uce a value n 2 = 2.35 × 10 −20 m 2 /W for the test fiber.<br />

11.1.5 Variations in n 2 Values<br />

As seen in Table 11.1, the measur<strong>ed</strong> values of n 2 for silica fibers vary in a relatively<br />

wide range extending from 2.23 to 3.95×10 −20 m 2 /W, depending on the fiber type and<br />

the technique us<strong>ed</strong>. To understand the reason behind such a large range of variations in<br />

n 2 values, one should first note that the core and the cladding of silica fibers are dop<strong>ed</strong><br />

with other materials (such as GeO 2 and fluorine) to ensure that their refractive indices<br />

differ by a small amount (typically

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