Anisoplanatism effects on diffraction-based performance calculations in adaptive optical systems

Physics – Optics

Scientific paper

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Scientific paper

The effects of turbulence-induced anisoplanatism cause the performance of an adaptive optic system to be dependent on the angular separation between the object wavefront being corrected and the wavefront of the reference source. One method of quantifying this angular dependent performance is through the average optical transfer function (OTF). An equally important measure is the variance of the OTF. The variance is used together with the average OTF to define a signal-to-noise ratio (SNR). Knowledge of the SNR is essential in any image restoration scheme to determine the spatial frequency limit of the restoration process. This paper presents the diffraction based theory and a method of computing the object angle dependent average OTF and corresponding SNR of an adaptive-optics system. These quantities are computed using normalized correction functions that are valid for a wide range of atmospheric turbulence profiles and angular correction geometries. This method allows for rapid calculations under changing atmospheric and geometric conditions.

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