“…Therefore, it is quite important to quantitively characterize the property of an active nonlinear device to utilize it in an optical signal processing. Optical nonlinear devices, such as highly nonlinear fiber (HNLF) and semiconductor optical amplifier (SOA), have been widely used in many kinds of optical signal processing, e.g., all-optical (AO) wavelength conversion [6][7][8][9][10], AO logic gate [11][12][13][14][15], AO flip-flop [16][17][18], AO switch [19][20][21], optical analog-to-digital conversion [22,23], and so on. Many of them utilize the nonlinear intensity and/or phase change in time domain signal, so called self-phase modulation (SPM), cross-phase modulation (XPM), and cross-gain modulation (XGM).…”