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Adaptive optics: dither optimization method in an adaptive optic modal control

It is noted that by adjusting the phase of individual dither frequencies, the dynamics of beatings can be optimized, and normalization effects can be limited when dealing with wavefront distortions. A method for optimizing the beating dynamics by adjusting individual dither frequencies at the output of synthetizers is proposed. Two optimization methods are employed: one using the first derivative, and the other using no derivatives. The algorithm set derived indicates that in every case the local minimum point remains a limitation. It is pointed out that the chosen solutions which are closed to the global minimum point are often sufficient for the problem.