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Nonlinear Fiber Optics - 4 ed. Agrawal

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1.3. <strong>Fiber</strong> <strong>Nonlinear</strong>ities 17<br />

1.3.3 Importance of <strong>Nonlinear</strong> Effects<br />

Most measurements of the nonlinear-index coefficient n 2 in silica fibers yield a value<br />

in the range 2.2–3.4 × 10 −20 m 2 /W (see Appendix B), depending on the core composition<br />

and whether the input polarization is preserv<strong>ed</strong> inside the fiber or not [95]. This<br />

value is small compar<strong>ed</strong> to most other nonlinear m<strong>ed</strong>ia by at least two orders of magnitude.<br />

Similarly, the measurements of Raman- and Brillouin-gain coefficients in silica<br />

fibers show that their values are smaller by two orders of magnitude or more compar<strong>ed</strong><br />

with other common nonlinear m<strong>ed</strong>ia [47]. In spite of the intrinsically small values<br />

of the nonlinear coefficients in fus<strong>ed</strong> silica, the nonlinear effects in optical fibers can<br />

be observ<strong>ed</strong> at relatively low power levels. This is possible because of two important<br />

characteristics of single-mode fibers—a small spot size (mode diameter

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