In this chapter, we outline how nonlinear propagation in the guided modes of optical waveguides can be described efficiently in a so-called 1+1D propagation formalism. This terminology implies that the transverse degrees of freedom in the waveguide cross section are integrated out and a first-order differential equation describing the evolution of the temporal, or spectral, profile of an optical pulse along the length of the waveguide is obtained. The two dimensions involved in the calculation are therefore the spatial coordinate along the length axis of the waveguide, and the time, or equivalently the frequency, coordinate.
Nonlinear optics in waveguides is an important ...
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