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Nonlinear Fiber Optics - 4 ed. Agrawal

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11.4. Microstructur<strong>ed</strong> <strong>Fiber</strong>s 443<br />

Effective Cladding Index<br />

(a)<br />

λ/Λ<br />

10<br />

(b)<br />

λ/Λ<br />

d/Λ<br />

Figure 11.13: (a) Effective cladding index of a PCF plott<strong>ed</strong> as a function of λ/Λ for values<br />

of d/Λ in the range of 0.2 to 0.9. (b) Three operational regimes of a PCF. The solid curve<br />

corresponds to the condition V eff = 2.405. The empty and fill<strong>ed</strong> circles show the numerical and<br />

experimental data, respectively. (After Ref. [84]; c○2005 IEEE.)<br />

ZDWL of such fibers can be vari<strong>ed</strong> over a wide range extending from 0.5 to 1.5 μm<br />

with changes in d and Λ. A remarkable feature of Figure 11.14 is that such fibers exhibit<br />

two ZDWLs, one falling in the visible region and the other beyond 1 μm, such that<br />

GVD is anomalous in the spectral region between them. It will be seen in Chapter 12<br />

that this feature can be exploit<strong>ed</strong> for observing a variety of novel nonlinear effects.<br />

The tapering technique discuss<strong>ed</strong> in Section 11.3 has been employ<strong>ed</strong> for r<strong>ed</strong>ucing<br />

the core diameter of PCFs [85]–[87]. The main advantage is that both the dispersive<br />

and nonlinear properties of a PCF can be alter<strong>ed</strong> with tapering, provid<strong>ed</strong> care is taken<br />

to ensure that air holes within the cladding do not collapse. In practice, the core size<br />

as well as the diameter of air holes can be r<strong>ed</strong>uc<strong>ed</strong> by a factor of 2 or so without<br />

collapsing the air holes. Even such small changes modify the characteristics of most<br />

microstructur<strong>ed</strong> fibers significantly because their dispersion is extremely sensitive to<br />

the size and spacing of air holes.<br />

Dispersion [ps/(km-nm)]<br />

(a)<br />

(b)<br />

Wavelength (μm)<br />

Wavelength (μm)<br />

Figure 11.14: Variation of dispersion D with wavelength λ for PCFs design<strong>ed</strong> with different<br />

values of d/Λ when Λ = 1 and 2 μm. (After Ref. [84]; c○2005 IEEE.)

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