Chapter 3

Group-velocity dispersion

Abstract

This chapter considers the pulse-propagation problem by treating fibers as a linear dispersive medium with some group-velocity dispersion (GVD). In Section 3.1 we discuss the conditions under which the GVD effects dominate over the nonlinear effects by introducing two length scales associated with GVD and nonlinear effects. Dispersion-induced broadening of optical pulses is considered in Section 3.2 for several specific pulse shapes, including Gaussian and “sech” pulses. The effects of initial frequency chirping are also discussed in this section. Section 3.3 is devoted to the effects of third-order dispersion on pulse broadening. An analytic theory capable of predicting dispersive broadening for pulses ...

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