Abstract

We proposed an accurate method for simulating turbulent phase screen. Different from the subharmonic method, the low-frequency grid is not equally spaced in our method, and the distribution of sampling points can be determined by only one parameter. It is found that the accuracy of simulation depends on the distribution of sampling points, and there is an optimal distribution that minimizes the relative error between expected structure function and theoretical structure function. In order to get the optimal distribution, a search algorithm is designed. Compared with existing subharmonic method, the maximum relative error can be reduced from 10% to 0.1%, and the computation costs reduced more than two times at the same time. And compared with other methods, this method still has the advantage of precision.

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