Lightwave Technology

Chapter 4 - Nonlinear Impairments

Chapter 4


Nonlinear Impairments

The discussion in Chapter 3 intentionally ignored the nonlinear effects and applies to lightwave systems in which the signal power is kept small enough that the nonlinear effects, governed by the parameter γ in the NLS equation, remain negligible throughout the fiber link. This approximation can be justified for many short-haul systems (transmission distance <100 km), especially those employing light-emitting diodes as optical sources. However, the inclusion of nonlinear effects becomes essential for long-haul systems making use of a chain of cascaded optical amplifiers [l]-[6]. The reason is two-fold. First, noise added by the amplifier chain degrades the signal-to-noise ratio (SNR) to the extent that the signal cannot be recovered unless launched power levels are relatively high (typically >1 mW). Second, the nonlinear effects themselves accumulate from amplifier to amplifier and distort the optical bit stream more and more as link length increases. This chapter focuses on the impact of fiber nonlinearities in such long-haul systems. We begin with the discussion of the simplest nonlinearity—self-phase modulation—in Section 4.1 and then consider in Section 4.2 the closely related nonlinear phenomenon of cross-phase modulation. Section 4.3 deals with four-wave mixing, a nonlinear effect that becomes quite important for WDM systems. Stimulated Raman scattering is the focus of Section 4.4, whereas the phenomenon of stimulated Brillouin scattering is considered in Section 4.5. In Section 4.6 the variational and moment methods are employed for solving the NLS equation approximately. Section 4.7 focuses on the polarization effects related to residual fiber birefringence.

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