To compensate for the time delay error in the adaptive optics (AO) systems, an open-loop predictive correction method for AO systems is proposed. There are transverse wind estimator and predictor in the correction scheme. We realized the predictor in Fourier domain and analyzed the predictor error. The large prediction error in the edge subapertures of ShackHartmann wave-front sensor (SHWFS) can be significantly suppressed by our interpolation method. Also, the robustness of the predictor to the estimator error is analyzed. We then derived the tolerance range of the predictor for the transverse wind estimator error. Finally, the performances of the predictive correction under different atmospheric conditions are analyzed. The proposed transverse wind estimator and predictor can provide satisfactory performance in most scenarios. This suggests the open-loop predictive correction method has application potentiality in practical turbulence.
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