A probabilistic approach to achieving diffraction-limited optical system under resolution atmospheric "seeing" conditions.

Mathematics – Probability

Scientific paper

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Seeing: Earth Atmosphere

Scientific paper

The authors analyze the possibility of achieving diffraction-limited resolution in a short-exposure atmosphere-telescope system for recording the image of a stationary isoplanatic object. They introduce the concept of the instantaneous spatial correlation length for atmospheric distortions of the radiation field, and using statistical computer simulation methods, they obtain the gamma distribution of its probability. Based on the use of this, distribution, the authors have studied the probability of good "seeing" through the atmosphere. Using this approach, they have found the number of short time exposures required to give at least one with diffraction-limited resolution. These calculations were made for different ratios of the telescope diameter and Fried's parameter r0. Some difficulties inherent in this probabilistic approach are discussed.

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