A background-limited optical system is to view an object through a turbulent medium. The threshold systems for detecting and resolving specific details of the object are derived and their probabilities of correct detection and resolution evaluated. The variance of a maximum-likelihood estimate of the position of the object is calculated for large signal-to-noise ratio. Specific numerical results are given for turbulence that produces a gaussian mutual-coherence function in light from a point object. A model of such turbulence, depicting it as concentrated in one or more thin, homogeneous phase screens, is proposed.
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Carl W. Helstrom (1969) studied this question.
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