We theoretically investigate the smoothing effects on the signal temporal phase and intensity in the optical parametric amplification (OPA) process. The theoretical model was set up based on the coupled second-order three-wave nonlinear propagation equations in the plane-wave limit, using the phase and intensity modulation to mimic the input noise to the signal. The analytical and numerical results indicate that the walk-off between the signal and the idler plays a dominant role in the temporal smoothing process of OPA, and the smoothing process by a walk-off and broad-bandwidth parametric amplification can be achieved simultaneously. Compared with the walk-off smoothing mechanism, the gain saturation can only smooth the temporal intensity fluctuation. We provide equations for estimating the smoothable modulation cycle.
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