The effect of wavefront undersampling on signal-to-noise ratio in adaptive optics systems

Physics – Optics

Scientific paper

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Adaptive Optics, Atmospheric Effects, Imaging Techniques, Signal To Noise Ratios, Wave Fronts, Computerized Simulation, Ground Stations, Power Spectra, Telescopes

Scientific paper

Adaptive-optics (AO) systems for imaging of exoatmospheric objects employ a wavefront sensor designed to sample the phase imposed by the atmosphere. Whether a Hartmann array or shearing interferometer, such a sensor is typically designed to sample at spatial frequencies corresponding to the expected value of the Fried coherence diameter, r(o), at the site. However, undersampling of the wavefront occurs in practice during periods of bad seeing, and the cost of adaptive-optics systems designed to sample at high frequency and control a large number of actuators make deliberately 'underdesigned' systems attractive. In this paper, we use a detailed computer simulation in a preliminary investigation of the effect of wavefront undersampling on the SNR of the power-spectrum estimate of resulting point-source images. We have found doubling subaperture size in an Hartmann-sensor-driven AO system can nearly approximate the performance given by a fully-sampled system for a 3.67-m telescope.

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