Effects of turbulence-induced anisoplanatism on the imaging performance of adaptive-astronomical telescopes using laser guide stars

Physics – Optics

Scientific paper

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Adaptive Optics, Atmospheric Turbulence, Image Processing, Laser Guidance, Reference Stars, Telescopes, Instrument Compensation, Perturbation Theory, Upper Atmosphere, Wave Fronts

Scientific paper

An analysis technique for characterizing the effects of anisoplanatism on adaptive-optics systems using slope sensors is presented, with attention concentrated on phase-correcting systems. The mean-square residual phase error between the reconstructed wave front and object wave front is calculated, and the optical transfer function is formulated. The statistical correlation of the reference and object wave-front phases are derived in terms of the generalized-phase-structure function, and its form is introduced. The characteristics of the laser guide star and the effects of guide-star motion on the adaptive-optics systems are described. Computational results showing how anisoplanatism affects the design and performance of laser-guided telescopes are assessed. These results can indicate how many guide stars are required for a given telescope size and how imaging performance degrades as the observation direction is separated in angle from that of the laser guide star.

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