“…These practical advantages have rendered SOAs indispensable elements for performing a wide set of all-optical signal processing functions, as for example wavelength conversion, demultiplexing, regeneration, Boolean logic, detection and sampling [5][6][7], which are required in order to avoid the cumbersome and power-consuming optoelectronic conversions and fully benefit from the high transmission capacity of lightwave networks [8]. As a result of their increasingly important role, SOAs have attracted considerable theoretical interest and many studies have been conducted to explain their operation, predict their behavior and assist their design [9][10][11][12][13][14][15][16][17][18][19][20][21][22]. Especially, the results reported in [23] have been fundamental in describing pulse propagation and amplification through an SOA and understanding the physical mechanisms that govern this process.…”