Stimulated Raman Scattering in Optical Fibers: Spontaneous Initiation and Spatial Propagation,

Stimulated Raman scattering can be treated in either the frequency domain or the time domain. Traditionally, cw waves and long optical pulses have been treated in the frequency domain where the problem can be reduced to a set of coupled wave equations which include self and cross phase modulation as well as the Raman gain. Frequency domain analysis, however, becomes intractable for ultrashort optical pulses where spectral bandwidths become comparable to the Raman frequency shift. Here a time domain approach is more appropriate.