Nonlinear Fiber Optics - 4 ed. Agrawal

References 221
6.9 Derive the dispersion relation K(Ω) for modulation instability to occur in lowbirefringence
fibers starting from Eqs. (6.1.15) and (6.1.16). Discuss the frequency
range over which the gain exists when β 2 > 0.
6.10 Derive the dispersion relation K(Ω) for modulation instability to occur in highbirefringence
fibers starting from Eqs. (6.1.22) and (6.1.23). Discuss the frequency
range over which the gain exists when β 2 > 0.
6.11 Solve Eqs. (6.5.4) and (6.5.5) numerically by using the split-step Fourier method.
Reproduce the results shown in Figure 6.13. Check the accuracy of Eq. (6.5.8)
for δ = 0.2 and B = 2 3 .
6.12 Verify by direct substitution that the solution given by Eq. (6.5.14) satisfies Eqs.
(6.5.4) and (6.5.5).
6.13 Explain the operation of soliton-dragging logic gates. How would you design a
NOR gate by using such a technique?
6.14 Explain the origin of PMD in optical fibers. Why does PMD lead to pulse broadening.
Do you expect PMD-induced broadening to occur for solitons?
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