Space-time modeling of Raman pulses in silicon-on-insulator optical waveguides

Stimulated Raman scattering, two-photon absorption, free-carrier dispersion, self-phase and cross-phase modulations induced by the Kerr effect, walk-off, pump depletion, and polarization coupling are investigated theoretically in silicon-on-insulator optical waveguides. The influence of submicrometer-scale rib waveguide sizes on the time-space evolution of both pump and fundamental and higher order Stokes' picosecond pulses is presented. Finally, the threshold conditions for higher order Stokes' waves have been found and interpolated by a simple formula.