Description of Multichannel Amplification in Semiconductor Optical Amplifier

In this paper, a generalized equation of pulse propagation in semiconductor optical amplifier (SOA) under the effects of four wave mixing (FWM) has been derived. This equation is applicable for any wavelength division multiplexing system in presence of both interband and intraband effects. The equation is solved numerically regarding the primary conditions of the problem considering the amplitudes of the sideband pulses at the entrance of SOA are zero. The gain of low frequency pulses will be higher than the gain of the high frequency pulses, as well as the gain difference between different pulses will be reduced with the increasing of frequency detuning. On the other hand, the effects of saturation and the asymmetric gain will control the mixing efficiency of the sideband pulses generated on the left and right of active pulses depending on the power of the input pulses and the frequency detuning