“…This wavelength dependence can be understood by modeling the various ultrafast dynamics that contribute to the nonlinear susceptibility function of the amplifier. In particular, the converted signal power at the SOA output is given approximately by [11]- [13], [35] (1) where and are the unconverted signal and the pump at the SOA input, respectively, is the detuning frequency, and , , and are the magnitudes, phases and time constants associated with the contributing ultrafast mechanisms where (carrier density modulation), (carrier heating) and (spectral-hole burning). Many of these parameters will in general depend on the overall saturation level of the SOA.…”