The paper reports a new method for optical-optical synchronization based on the nonlinear wavelength conversion in fibers. We established a numerical model for the pulse propagation in highly nonlinear fibers. A 1.03μm laser is directly generated from a 1.55μm laser by the nonlinear effect in a fiber. With the introducing of the shot noise and the technical noise into the model, we simulated the variation of the timing jitter between 1.03μm pulses and 1.55μm pulses with different model parameters, including pump parameters, filter bandwidths, and fiber lengths. At the condition of of the shot noise and the technical noise with 1% standard deviation, the lowest timing jitter obtained between the 1.03μm laser and the 1.55μm laser is 1.8fs by optimizing model parameters. Meanwhile, the energy noise is as low as 3.7%. With more stable pump lasers, it is promising to reduce timing jitter to tens of attoseconds which is close to the condition only with the shot noise. With such low timing jitter, the requirement of the synchronization between the reference laser and the external laser can be satisfied even without the feedback control in FEL. It is promising to be widely applied in the synchronization system of the free electron laser (FEL).
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