The characteristics of one-pump fiber optical parametric amplifiers (1-P FOPAs) are theoretically investigated as the temporal width of the input pump increases from the pulsed to the continuous wave (CW) regime. Coupled nonlinear Schrodinger equations are numerically solved, and the pulse width of the pump is gradually increased to simulate the evolution of the gain and output spectra of the 1-P FOPA from the pulsed to the CW operation. The results show that the quasi-CW operation is achieved when the pulse width is about 500 fs. Also, when the temporal width of the pump increases and lies in the picosecond regime, the characteristics of FOPA recover those of the FOPA operated in the CW regime.
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