Abstract: The ability to generate long sequences of spatially and temporally correlated phase and slope screens is critical to simulating adaptive optics system. Covariance based methods exist for generating short sequences of phase and slope screens which theoretically could produce the long sequences needed. However, implementing these methods for large sequences of frames is impractical with today's computer technology. FFT-based methods may be used to generate unlimited-length sequence which are periodic. This paper present a method for generating unlimited length sequences which are not periodic using optimal estimators. This method does not yield perfect spatial and temporal statistics for screens separated by large numbers of frames in time. However, the short term statistics for any frame are accurate, while the errors in long term statistics are small. !3
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